Find the length of the missing triangle

Find The Length Of The Missing Triangle

Answers

Answer 1

Answer:

The answer is 68 ft

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side a

Using Pythagoras theorem we have

a² = b² + c²

where

a is the hypotenuse

So we have

\( {a}^{2} = {60}^{2} + {32}^{2} \\ a = \sqrt{3600 + 1024} \\ a = \sqrt{4624} \)

We have the final answer as

68 ft

Hope this helps you


Related Questions

Can you help me with this please? because I am confused

Can you help me with this please? because I am confused

Answers

Answer:

Make a line a bit close to -1

Step-by-step explanation:

-2 3/4 can be re-written as -2.75 therefore you have to mark close to the number -1

3x\(3x^{2} +8x-10\)

Answers

The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594

Solving quadratic equations.

Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c

From the given information, we are to solve the quadratic equation:

3x² + 8x - 10

Using the quadratic formula:

\(\mathbf{=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}\)

where:

a = 3b = + 8c = - 10

\(\mathbf{= \dfrac{-(8)) \pm \sqrt{(8)^2 - 4(3 \times (-10))}}{2(3)}}\)

\(\mathbf{= \dfrac{-(8)) \pm \sqrt{64 -4 (-30)}}{6}}\)

\(\mathbf{= \dfrac{-(8)) \pm \sqrt{64+120}}{6}}\)

x = 0.927 or -3.594

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What is the product of a number and 14 plus 10, written as an algebraic expression?

10(x + 14)
10x − 14
14 ÷ x − 10
14x + 10 please give me the answer i need help

Answers

Answer:

14x+10

Step-by-step explanation:

The product means multiplication

Answer:

D 14x+10

Step-by-step explanation:

Given the equation 5y = 225, solve for y.

Answers

Answer: y = 45

Step-by-step explanation:

225/5 = 45

45·5 = 45

5y/5=225/5

Bring Y down and divide

Y=225/5

Solution

Y=45

Complete the slope-intercept form of this line. y = –4x

Answers

The slope-intercept form of this line is y = –4x

How to determine the equation in slope-intercept

From the question, we have the following parameters that can be used in our computation:

y = -4x

The above equation is a linear equation

A linear equation in slope intercept can be represented as

y = mx + c

When the equations are compared, we have

m = -4 and c = 0

This implies that the equation is in the required form

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Determine the largest integer value of x in the solution of the following inequality.
3x - 6 ≤ -14

Answers

Answer:

3x <= -8

x<= -8/3 means smaller or equal -8/3

->-8/3

Please help if you answer this i’ll give brainlest

Please help if you answer this ill give brainlest

Answers

Answer:

you just need to get 93 and times it my the number next to it and you will get your answer which is 257

What is the equation for a line that passes through the points (2,-2) and (-4,22)?

A.) Y= -4x + 6
B.) Y= 4x + 6
C.) Y= 4x - 6
D.) y= -4x - 6

Answers

y = -4x + 6
the answer is a

Answer:

A.) Y= -4x + 6

Step-by-step explanation:

During a sale at the mal, all items were marked down 40% off of the original price. Lily purchased a purse that was originall $220.00. What is the price of the purse after the discount?​

Answers

Answer:

$132

Step-by-step explanation:

40% off means it is actually 60% of the regular price.

Thus, you will multiply the original (220) by .6 (this means 60 percent)

and you will get 220*.6=132

Answer:

132

Step-by-step explanation:

First, find 40% of 220, which is 88 (220 * 0.4). Since everything was marked down, 40% was taken off the original price. So, 220 - 88 = 132

Why do meats and vegetables cook much more quickly when there are metal skewers sticking through them

Answers

Answer: Having a metal skewer in the middle increases the surface area that is exposed to heat.

Step-by-step explanation:

By having the inside and outside of food touching a heat source as the skewer heats up, the inside and outside are cooking at the same time.

which statements are true about the reflectional symmetry of a regular heptagon? select two options.

Answers

There are seven lines of symmetry in a heptagon. In a heptagon, the sides and angles are equal. Each vertex and the center of a regular heptagon are where the line of symmetry crosses.

What is Reflectional Symmetry ?

Any symmetry with regard to a reflection is referred to as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry. In other words, a figure with reflectional symmetry does not alter when it is reflected. There is a line/axis of symmetry in 2D and a plane of symmetry in 3D. When a form or pattern is mirrored in a line of symmetry or a mirror line, this is known as reflective symmetry. The reflected form will have the same size, distance from the mirror line, and other characteristics as the original shape. When a figure can be split into two equal halves that match, it has line symmetry or reflection symmetry.

If a figure can be reflected over a line and retain its original appearance, it possesses reflection symmetry. If a figure can be altered while maintaining its appearance, it possesses symmetry.

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Complete question

Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of reflectional symmetry. A line of symmetry will connect 2 vertices. A line of symmetry will connect a vertex and a midpoint of an opposite side. It has 7-fold symmetry. A line of symmetry will connect the midpoints of 2 opposite sides.

Plz help quick pls Brainly

Plz help quick pls Brainly

Answers

Answer:

x is greater than or equal to -26

Step-by-step explanation:

We can use distributive property to solve the equation.

-6(x+4) in distributive property is:  -6x-24

-6x-24 is less than or equal to -5x+2

+6x                                             +6x

-24 is less than or equal to x+2

-2                                              -2

-26 is less than or equal to x

This means x is greater than or equal to -26

On the graph you would put a closed circle on -26 and point to the right.

Hope this helps! Good luck on your quiz!

what is 50 divided by 1

Answers

50 divided by 1 would be 50.

Which expression is equivalent to 4√6/3

Answers

Answer:

\(\frac{4}{3}{\sqrt3}\)

Step-by-step explanation:

The question seem incomplete;

The full question is

Which expression is equivalent to 4√6/3√2

Given

4√6/3√2

Required

Find equivalent

\(4\sqrt6/3\sqrt2\)

Rewrite Expression

\(\frac{4\sqrt6}{3\sqrt2}\)

Expand the above expression

\(\frac{4\ *\ \sqrt6}{3\ * \ \sqrt2}\)

Further split the fraction

\(\frac{4}{3}\ *\ \frac{\sqrt6}{\sqrt2}\)

Using rule of surds;

\(\frac{\sqrt a}{\sqrt b} = \sqrt{\frac{a}{b}}\)

So, the above expression becomes

\(\frac{4}{3}\ *\ \sqrt{\frac{6}{2}}\)

\(\frac{4}{3}\ *\ {\sqrt3}\)

\(\frac{4}{3}{\sqrt3}\)

At this stage, the expression cannot be further simplified;

Hence, 4√6/3√2  = \(\frac{4}{3}{\sqrt3}\)

HURRY!! 20 POINTS!! What is the solution set of the equation x+3/x+2=3+1/x? Note: x≠0, −2
{2} {−1, 2} {−1, 1} {−1}

HURRY!! 20 POINTS!! What is the solution set of the equation x+3/x+2=3+1/x? Note: x0, 2 {2} {1, 2} {1,

Answers

The solution set for the given equation is x=-1 .

Solution set is written as {-1}

for better understanding check the calculation below.

Calculation :

We need to solve the given equation

\(\frac{x+3}{x+2} =3+\frac{1}{x}\)

To solve any equation we take LCD.

LCD of the given equation is x(x+2)

Multiply LCD with each term to remove the denominator

\(\frac{x+3}{x+2}\cdot x(x+2) =3\cdot x(x+2)+\frac{1}{x}\cdot x(x+2)\\x(x+3)=3x(x+2)+x+2\\x^2+3x=3x^2+6x+x+2\\\)

Subtract x^2 and 3x from both sides of the equation to get 0 on the left side of the equation

\(0=3x^2+6x+x+2-x^2-3x\\0=2x^2+4x+2\\\)

Now divide the whole equation by 2 and then we factor it

\(0=x^2+2x+1\\0=(x+1)(x+1) \\x+1=0\\x=-1\)

The solution set for the given equation is x=-1

Solution set is written as {-1}

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Answer:

-1

Step-by-step explanation:

HURRY!! 20 POINTS!! What is the solution set of the equation x+3/x+2=3+1/x? Note: x0, 2 {2} {1, 2} {1,

Solve the given portion 4/x=3/6 x=?

Answers

Answer:

8

Step-by-step explanation:

4/x=3/6

4=3/6x

4*6=3x

24/3=x

8=x

Please mark me as brainliest

It is a because it is half with the 3/6 so the what is double 4 so it is 8

The coordinates of then vertical of parallelograms WXYZ are W(-2,3) , X(-1,0) , Y(5,2) and Z (4,5) the slope of
I’ll give brainliest

The coordinates of then vertical of parallelograms WXYZ are W(-2,3) , X(-1,0) , Y(5,2) and Z (4,5) the

Answers

Answer:

The slope of WX and WY

Step-by-step explanation:

For us to have a rectangle, the angles at the edges equal 90

What this mean is that the width and the length are at 90 degrees

Hence, we can say that they are perpendicular to one another

Thus, we can calculate the slopes of both to drive home our point

Hence, by calculating the slopes of WX and WY, We can proof that we have a rectangle

The booster club now raises $0.41 for each pom pom they sell.

Write and solve an equation to find how many pom poms they need to sell to raise fifty dollars.

(will give points if answered)

Answers

If you do .41x122 you get 50
Steps:
0.41p=50
Divide both sides by 0.41
0.41/0.41 cancels out.
50/0.41 = 121.951

You can’t sell 121.951 Pom Poms.
So

Answer:

0.41p=50

122 Pom poms

when i multiply it by 6 and subtract 29, the answer is 37.
what is my number?

Answers

Let the required number be "x"

According to the statement:

x(6) - 29 = 37

6x - 29 = 37

6x = 37 + 29

6x = 66

x = 66/6

x = 11

Therefore, the required number is 11.

QUESTION:

when i multiply it by 6 and subtract 29, the answer is 37.

what is my number?

SOLUTION:

▶️Let the required number be x.

According to the question the equation will form like:

▶️6x - 29 = 37

▶️6x = 37+29 (transposing x to RHS)

▶️6x = 66

▶️x = 66/6 (transposing 6 to RHS)

▶️x = 11

VARIFICATION:

According to the question :

▶(️11×6) - 29

▶️ 66 - 29

▶️37

Hence varified..

ANSWER:

11

The total cost of producing a type of car is given by C(x)=21000−90x+0.1x2, where x is the number of cars produced. How many cars should be produced to incur minimum cost? Please explain how you got the answer, THANKS!

Answers

Answer: To find the number of cars that should be produced to incur minimum cost, we need to find the minimum value of the cost function C(x). Since C(x) is a quadratic function, it will have a minimum value, which is either a relative minimum or an absolute minimum. To find the number of cars that should be produced to incur the minimum cost, we will find the derivative of C(x) and set it equal to zero.

To find the derivative of C(x), we can use the power rule, which states that the derivative of x^n is n*x^(n-1).

The derivative of C(x) = 21000 - 90x + 0.1x^2 is

C'(x) = -90 + 0.2x

To find the minimum cost, we set C'(x) equal to zero and solve for x:

-90 + 0.2x = 0

0.2x = 90

x = 450

So, producing 450 cars will incur the minimum cost.

To verify that this is indeed a minimum, we can find the second derivative of C(x) which is 0.2, since the second derivative is positive, we can confirm that x = 450 is a relative minimum.

Alternatively, we can substitute x = 450 into the cost function and find the minimum value, which is C(450) = 21000 - 90(450) + 0.1(450)^2, which is less than any other value of C(x) for x≠450.

Therefore, to incur the minimum cost, 450 cars should be produced.

Step-by-step explanation:

Compute the area of triangle, if x equals 3 less than 6

Compute the area of triangle, if x equals 3 less than 6

Answers

Answer:

C

Step-by-step explanation:

I think its c because it said x = 3 less than 6, what is three less than 6? 3 so if you were to plug in 3 for x so bc = 3 and ab = 6 you multiply those two together but when you are doing area for a triangle its 1/2 bh so how i do this is i multiply 6 and 3 and get 18 and divide that by 2 and my final answer is 9. Hope this works, let me know if it doesnt!

A simple difference is also called a.an interaction effect. b.a marginal means difference. c.a factorial design. d.a main effect.

Answers

A simple difference is also called a marginal means difference. Option B

In experimental design and statistical analysis, a simple difference refers to the comparison of means between two groups or conditions. It represents the difference in average scores or values between the groups being compared. It is often used to assess the impact of an independent variable on a dependent variable by examining the variation in means between different levels of the independent variable.

The term "marginal means difference" emphasizes that the comparison is based on the average or marginal means of the groups being compared. It helps to distinguish it from other types of differences, such as interaction effects or main effects, which involve more complex comparisons or analyses in factorial designs.

Overall, a simple difference or marginal means difference is a straightforward way to evaluate the effect of an independent variable on a dependent variable by comparing the average values between different groups or conditions.

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Use synthetic division to find p where f(x) = 2x ^ 3+ 5x ^ 2 + yx+ 8 and f(- 2) = 10

Use synthetic division to find p where f(x) = 2x ^ 3+ 5x ^ 2 + yx+ 8 and f(- 2) = 10

Answers

Given the function f(x):

\(f(x)=2x^3+5x^2+px+8\)

And f(-2) = 10

So, we will substitute with x = -2

\(2(-2)^3+5(-2)^2+p(-2)+8=10\)

solve the equation to find p

\(\begin{gathered} 2(-8)+5(4)-2p+8=10 \\ -16+20-2p+8=10 \\ -2p+12=10 \\ -2p=10-12 \\ -2p=-2 \\ p=\frac{-2}{-2}=1 \end{gathered}\)

So, the answer will be the first option p = 1

A laptop has a listed price of $807.95 before tax. If the sales tax rate is 9.75%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent,as necessary.

Answers

$82.86 hope this helps!!

Solve for x. Figures are not necessarily drawn to scale.

Solve for x. Figures are not necessarily drawn to scale.

Answers

Check the picture below.

\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)

Solve for x. Figures are not necessarily drawn to scale.

find a singular value decomposition for the given matrix: 1 1 −1 1 1 −1 you must show all of your work to get full points.

Answers

The singular value decomposition is a factorization of a matrix into three separate matrices. It has many applications in various fields, including data compression, image processing, and machine learning.

To find the singular value decomposition (SVD) of the given matrix, let's go through the steps:

1. Begin with the given matrix:
  1 1
  -1 1
  -1 1

2. Calculate the transpose of the matrix by interchanging rows with columns:
  1 -1 -1
  1 1 1

3. Multiply the matrix by its transpose:
  1 -1 -1    1
  1 1 1      1
  -1 1 1     -1

4. Calculate the eigenvalues and eigenvectors of the resulting matrix. This step involves finding the values λ that satisfy the equation A * v = λ * v, where A is the matrix.

5. Normalize the eigenvectors obtained in step 4 to obtain orthonormal eigenvectors.

6. The singular values are the square roots of the eigenvalues.

7. Create the matrix U by taking the orthonormal eigenvectors obtained in step 5 as columns.

8. Create the matrix Σ by arranging the singular values obtained in step 6 in a diagonal matrix.

9. Create the matrix V by taking the normalized eigenvectors obtained in step 5 as columns.

10. Finally, write the answer in the form of SVD: A = U * Σ * \(V^T\), where U, Σ, and \(V^T\) represent the matrices from steps 7, 8, and 9 respectively.

To find the singular value decomposition (SVD) of a matrix, we need to perform several steps. These include finding the eigenvalues and eigenvectors of the matrix, normalizing the eigenvectors, calculating the singular values, and creating the matrices U, Σ, and V. The SVD provides a way to factorize a matrix into three separate matrices and has many practical applications.

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HELPPP PLEASE!!!!!! answer all

HELPPP PLEASE!!!!!! answer all

Answers

Answer:

anyyyy girrllll online hereeeere m soo bored

The bears in Alaska are limited to a certain area to live due to the resources available for
food and shelter. After years, the number of bears living in the area is modeled by the function below. Using the function, find the number of bears after 17 years.

The bears in Alaska are limited to a certain area to live due to the resources available forfood and

Answers

The number of bears living in the area after 17 years is; 22555

How to solve exponential functions?

We are given the function;

f(t) = 103/(1 + 26e^(-0.31t))

Where f(t) is a function that models the number of bears living in the area after t period of years.

Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;

f(17) = 103/(1 + 26e^(-0.31*17))

f(17) = 103/0.00456653759

f(17) ≈ 22555 bears

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Help with these questions would help tremendously.

Help with these questions would help tremendously.
Help with these questions would help tremendously.
Help with these questions would help tremendously.

Answers

Answer:

1) x = 20

2) Try it yourself based on #1

3) D. BE (it a a segment, it is on the hypotenuse, and it is adjacent to AB)

Step-by-step explanation:

I'll do the first one and you can try the second one

1) Since the two triangles are similar, corresponding parts are similar (CPSP - corresponding parts of similar polygons)

2) Since the corresponding sides are similar, \(\frac{AX}{AB} = \frac{XY}{BC}\)

3) We know that AX is 12, AB is 20 (AX+XB=12+8 because of pwp -> part whole postulate), XY is 17, and BC is x

4) Substitute these values into the equation from step 2

\(\frac{12}{20} = \frac{12}{x}\)

5) Cross-multiply to get 12x = 12(20)

6) Solve

12x = 240

x = 20

A country imports in the vicinity of 100 million litres of diesel fuel (ADO) for use in diesel vehicles and 70 million litres of petrol fir petrol vehicles. It also produces molasses and cassava, which are feedstock for the production of ethanol, and coconut oil (CNO) that can be converted to biodiesel (CME) via trans-esterification.

a) Calculate the volume of B5 that can be produced from the coconut oil produced in Fiji, and the total volume of E10 that can be produced from all the molasses and the cassava that the country pr

Answers

The percentage of B5 produced from coconut oil is 0.045 X% of the imported diesel fuel. The percentage of E10 produced from molasses and cassava is 0.1143 Y% of the imported petrol.

To calculate the volume of B5 (a biodiesel blend of 5% biodiesel and 95% petroleum diesel) that can be produced from the coconut oil produced in Fiji, we need to know the total volume of coconut oil produced and the conversion efficiency of the trans-esterification process.

Let's assume that the volume of coconut oil produced in Fiji is X million litres, and the conversion efficiency is 90%. Therefore, the volume of biodiesel (CME) that can be produced from coconut oil is 0.9X million liters. Since B5 is a blend of 5% biodiesel, the volume of B5 that can be produced is 0.05 × 0.9X = 0.045X million liters.

To calculate the total volume of E10 (a gasoline blend of 10% ethanol and 90% petrol) that can be produced from the molasses and cassava, we need to know the total volume of molasses and cassava produced and the conversion efficiency of ethanol production.

Let's assume that the total volume of molasses and cassava produced is Y million liters, and the conversion efficiency is 80%. Therefore, the volume of ethanol that can be produced is 0.8Y million liters. Since E10 is a blend of 10% ethanol, the total volume of E10 that can be produced is 0.1 × 0.8Y = 0.08Y million liters.

The percentage of B5 produced from coconut oil is (0.045X / 100) × 100% = 0.045 X% of the imported diesel fuel.

The percentage of E10 produced from molasses and cassava is (0.08Y / 70) × 100% = 0.1143 Y% of the imported petrol.

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The complete question is:

A country imports in the vicinity of 100 million litres of diesel fuel (ADO) for use in diesel vehicles and 70 million litres of petrol fir petrol vehicles. It also produces molasses and cassava, which are feedstock for the production of ethanol, and coconut oil (CNO) that can be converted to biodiesel (CME) via trans-esterification.

a) Calculate the volume of B5 that can be produced from the coconut oil produced in Fiji, and the total volume of E10 that can be produced from all the molasses and cassava that the country produces annually. Express your results as the percentages of the respective imported fuel.

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27. In a P system, the lead time for a box of weed-killer is 2 weeks and the review period is 1 week. Demand during the protection interval averages 218 boxes, with a standard deviation of 40 boxes. a. What is the cycle-service level when the target inventory is set at 300 boxes? b. In the fall season, demand for weed-killer decreases but also becomes more highly variable. Assume that during the fall season, demand during the protection interval is expected to decrease to 180 boxes, but with a standard deviation of 50 boxes. What would be the cycle-service level if management keeps the target inventory level set at 300 boxes? Notes: Part a: You are given average demand AND the standard deviation of demand during the Protection Interval (P+L); You are solving for "z" - then determining the service level corresponding to z. Part b: repeat part a process with "revised" values. A chocolate bar says that aserving size is 1/3 of the bar. Howmany servings are in six bars ofchocolate? Solve for x. x-0.3x=28 Why is it important to only have one sugar present in a single carbohydrate fermentation tube? In November 2021, Kortney (who is a self-employed management consultant) travels from Chicago to Barcelona (Spain) on business. She is gone 10 days (including 2 days of travel) during which time she spends 5 days conducting business and 3 days sightseeing. Her expenses are $1,500 (airfare), $200 per day (meals at local restaurants), and $400 per night (lodging). Because Kortney stayed with relatives while sightseeing, she only paid for 5 nights of lodging. Compute Kortney's deductions for the following expenses.If required, round your answers to the nearest dollar.a. Deduction for airfare: $_____b. Deduction for meals: $_____c. Deduction for lodging: $_____ answer all 3 for brainliest How would you classify mitochondria, lysosomes, peroxisomes, vacuoles, ribosomes, and theendoplasmic reticulum?O organsO organ systemsO organelleso organismsO none of these Use the open number line to find the difference.423 160 = ____An open number line is shown. A hop to the left of negative 100 begins at 423. A second hop to the left of negative 50 begins where the first hop ends. A third hop to the left of negative 10 begins where the second hop ends. A. 363 B. 360 C. 263 D. 260 5. How does William Blake describe the first stage of life? Coulomb's Law equation is: FE = kq1q2/r2In this expression, FE is the electric force between charges q1 and q2 separated by distance r.Which of these sentences best describes the Coulomb's Law equation in words?A) The electric force is directly proportional to the product of the charges and inversely proportional to the distance between the charges.B) The electric force is directly proportional to the product of the charges and inversely proportional to the square of the distance between the charges.C) The electric force is directly proportional to the sum of the charges and inversely proportional to the distance between the charges squared. A 250ml glass of orange juice contains 22 grams of sugar. how much sugar is in a 2 liter (2.500ml) bottle of orange juice? 1. seismic waves generally travel much shorter distances on the west coast than on the east coast because: a. communities are better prepared for earthquakes on the west coast. b. the soil composition is different in the two regions. c. earthquakes are more frequent on the west coast. d. the earthquakes are of a greater intensity on the east coast. A 24-year-old male has recently returned from a weekend camping trip with friends. He has ulcerative colitis and a history of migraine headaches. He reports a 2-day history of headache, nausea, and vomiting with weakness. Which of the following is least likely as a possible cause?a. Migraine headacheb. Exacerbation of ulcerative colitisc. Acute gastroenteritisd. Norovirus In photosynthesis, carbon dioxide is "fixed" in ____.A. the light-dependent reactionsB. the Carbon cycleC. the light-independent reactionsD. the Krebs cycle Are the given triangles congruent? If yes, statethe congruence criteria. State the correspondingparts. Describe three ways in which transportationand communication systems strengthened thenation's economy. Consider two points A(0,0) and B(1, 1) on a Cartesian plane. The equation of the axis of the segment AB is: A. y = 1 2 B. y = 2 C. y = 1 2 D. y = 1 E. y = 1 2 factor 20a + 45............................................. 5. If three tacos and two drinks cost $13.00, and four tacos and one drink costs $15.25, how much doesa taco cost?O a) $2.75O b) $3.00O c) $3.25O d) $3.50O e) $3.75 You may consider franchising your business at some point. Discuss with justification, the type and model of franchise that your business will enter into. (Online Pharmacy)- Discuss some of the ethical dilemmas that your business might be faced with in a pharmaceutical market. Look at your specific industry (pharmaceutical market) and review some news articles in the near past