A line goes through the points 8,16 and -2,4. (a) What is the slope of the line? Show your work.(b) Write the equation of the line in point-slope form. Show your work.(c) Write the equation of the line in slope-intercept form. Show your work.

\(\frac{3.5}{3.25}=\frac{7/2}{13/4}=\frac{7}{2} \times \frac{4}{13}=\frac{28}{26}=\boxed{\frac{14}{13}}\)

Answer:

  240

Step-by-step explanation:

To evaluate the expression for specific numerical values, put the numbers in place of the corresponding variables, and do the arithmetic. A calculator or spreadsheet can help you with this.

  p^2q^2+pq–q^3–p^3

  = 4²(-4)² +4(-4) -(-4)³ -4³

  = 4⁴ -4² +4³ -4³

  = 4²(4² -1) = 16(15) = 240

The value of the expression is 240.

The surface area of the cone is 219. 33 cm²

The formula for calculating the surface area of a cone is expressed as;

SA = πr( r + l)

Such that the parameters are given as;

Note that the formula for diameter is given as;

Radius = d/2

Substitute the values

Radius = 11/2 = 5.5cm

Substitute the values, we get;

Surface area = 3.14 × 5.5 (5.5 + 7.2)

Now, multiply the values, we have;

Surface area = 17. 27(12.7)

multiply the values

Surface area = 219. 33 cm²

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Answer:

121/144

Look at the below screen shot! :)

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

The simple interest on 1600 with a 6% interest rate for 2 years is $192.

The simple interest simply means the method that's used to calculate the interest that's charged on a loan or money given out.

In this situation, we want to calculate the simple interest on 1600 with a 6% interest rate for 2 years. This will be calculated thus:

Simple interest = Principal × Rate × Interest

Simple interest = $1600 × 6% × 2

Simple interest = $1600 × 0.06 × 2

Simple interest = $192

The interest is $192.

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Complete question

Calculate the simple interest on 1600 with a 6% interest rate for 2 years.

Answer:

The top two options for graphs

Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.

An angle bisector is the line segment that bisects the angle into two equal halves.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

Ray BE is a bisector of angle CBA,

∠CBE = ∠EBA = 60°

∠EBD = ∠EBA - ∠DBA

∠EBD = 60 - 30 = 30

So,

∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]

Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following statements is true if ray BE is a bisector of angle CBA?

A. Ray BD is a bisector of angle CBA.

B. ∠EBD is congruent to ∠CBE.

C. Ray BE is a bisector of angle ABE.

D. ∠EBD is congruent to ∠DBA.

Answer:

the answer will be 7:15 AM.

hope this helps!

Answer: She arrived at 7:15 am.

Step-by-step explanation:

The actual probability that a random selection of a person would go to Town A is \(0.24\), or \(24\)%.

The possibility or chance of the an event happening is known as probability. For instance, there is only one method to receive a head and there are a total of two possible outcomes, hence the chance of a coin being flipped and receiving heads is 1 in 2. (a head or tail).

The likelihood that an incident will take place is defined by chance: P(A) = f / N. Odds and probability are related, but the odds depend on the probability. Due to determining the chance of an event, probability must be known.

Experimental probability \(=\) Number of people going to City A / Total number of people in the sample

Experimental probability \(= 24 / 100\)

Simplifying this fraction, we get:

Experimental probability \(= 0.24\)

Therefore, the experimental probability that a person selected at random is going to City \(A\) is \(0.24\)or \(24\)%.

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Answer: c) P(C) = 1/3

Step-by-step explanation:

P(A) + P(B) + P(C) = 1     (100%)

P(A) = P(B) =P(C)

Using substitution:

P(C) + P(C) + P(C) = 1

                 3 P(C) = 1

                    P(C) = 1/3  

Answer:

t = d/s

t = 6.4 / 2 miles

t = 3.2 miles

Step-by-step explanation:

follow me plzzz

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

If the total cost of two umbrellas and one cap is is $20 the total cost for one umbrella and two caps is $16 then the price of one umbrella is $8 and price of one cap is $4.

Given that the total cost of two umbrellas and one cap is is $20 the total cost for one umbrella and two caps is $16.

We have to find the price of one umbrella and one cap.

We have to form equations first to find the price of umbrella and cap.

Equation of two variables look like ax+by=c. It can be a linear equation, quadratic equation or a cubic equation.

let the price of umbrella be x and price of cap is y.

We know that total cost is equal to price of one unit multiplied by the units.

According to question.

2x+y=20----------1

x+2y=16-----------2

Multiply equation 2 by 2 and then subtract resulted equation from equation 1.

2x+y-2x-4y=20-32

-3y=-12

y=-12/-3

y=4

put the value of y in equation 2 to get the value of x.

x+2y=16

x+2*4=16

x+8=16

x=16-8

x=8

Hence the price of one umbrella is $8 and the price of one cap is $4.

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Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.32

For the alternative hypothesis,

p ≠ 0.32

This is a two tailed test

Considering the population proportion, probability of success, p = 0.32

q = probability of failure = 1 - p

q = 1 - 0.32 = 0.68

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 261

n = number of samples = 750

P = 261/750 = 0.35

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.35 - 0.32)/√(0.32 × 0.68)/750 = 1.8

Recall, population proportion, p = 0.32

The difference between sample proportion and population proportion(P - p) is 0.35 - 0.32 = 0.03

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.32 - 0.03 = 0.29

the p for the right tail is 0.32 + 0.03 = 0.35

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area above the z score in the right tail 1 - 0.9641 = 0.0359

We would double this area to include the area in the right tail of z = 0.44 Thus

p = 0.0359 × 2 = 0.07

Since alpha, 0.05 < the p value, 0.07 then we would fail to reject the null hypothesis. Therefore, this is not sufficient evidence to conclude that the actual percentage is different from 32% at the 5% significance level.

Answer:

12000

Step-by-step explanation:

The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

\(\angle A + \angle C = 180^\circ\)

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

\(\angle B + \angle C = 180^\circ\)

We can rewrite the second equation as:

\(\angle C = 180^\circ - \angle B\)

Substituting this value of \angle C into the first equation, we get:

\(\angle A + 180^\circ - \angle B = 180^\circ\)

Simplifying, we get:

\(\angle A = \angle B\)

Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)

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A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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Answer:

dvide 54 by 6 then the answer you get  subrtact it by 3 then the answer you get multiply iy by 2 then thats will be your answer

Step-by-step explanation:

remember always use PEMDAS always add or subract wich ever comes first and if theres none of that then do Multiply or devide wich ever comes first  ( btw your answer is   ( 3 )

The garden's perimeter = 3+2s+12+s.

The simpler version of the expression = 15+3s.

The variable's frequency in the abbreviated statement is 3.

The triangle's perimeter is equivalent to the sum of its edges, where a, b, and c are its sides.

With the information provided, the formula will become 'a = 3+2s'

and 'b' is also 12 ft.

Triangle perimeter =the total of its edges

= a + b + s                                                                    

= 3 + 2s + 12 + s

= 15 + 3s

As a result, the garden's perimeter = 3+2s+12+s.

Therefore,the simpler version of the formula is 15+3s.

The variable's coefficient in the abbreviated statement is 3.

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Evaluating the piecewise function we will get:

g(-1) = -2

g(2) = 0

g(3) = 1/2

To evaluate the piecewise function we need to use the correct part depending on the domains.

g(-1), here x = -1, then we need to use the second part of the function:

g(-1) = -(-1 - 1)² + 2 = -4 + 2 = -2

For the second one x = 2, we use the last part:

g(2) = (1/2)*2 - 1 = 0

For the last one, we have x = 3, again we need to use the last part:

g(3) = (1/2)*3 - 1 = 3/2 - 2/2 = 1/2

These are the 3 values.

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Answer:

8

Step-by-step explanation:

Because its a 2,2

Answer:

So first you do $0.50 x 3 = 1.5

then you add that to $12.00

$12.00 + 1.5 = 13.5

13.5 is the cost of one pizza.

Since they bought 12:

The total cost of the 12 pizza is $162 <== not important

13.5 divided by 8 is 1.687

round 1.56875 to the nearest cent 1.7 = $2

so each slice costs $2

Answer:

Alrededor de $1.90.

Step-by-step explanation:

Tienes que calcular el volumen del envase. Este es \(5\cdot3.5\cdot12=210\). Por ende, un centímetro cúbico cuesta \(400/210=1.904761904761905\).

I'm not to sure if I know the other ones but number 12th Is 6

Step-by-step explanation:

Since the two lines intersect at point Q(x,y) the x & y values of both lines must be equal at point Q. so 3x+14=7x-10. Solving for x yields x = 6.

Answer: the expected profit will be $755 annually.

Explanation: Expected Profit (EP) = Charges (income for the insurance company) - probability of minor accidents X amount payable for a minor accident - probability of mayor accidents X amount payable for a major accident.

800- 1000 (0.2) -5000 (0.05)= 800-20-25= 755