Really hard geometry problems. Please help!

x = - b/(a - c)

Hi there !

ax + b = cx

ax - cx = - b

x(a - c) = - b

x = - b/(a - c)

Good luck !

Answer:

43.2km/h

Step-by-step explanation:

1km = 1000m

1h = 3600s

1km/h to m/s

= 1 × 1000/3600

= 1000/3600

1m/s to km/h

= 1 ÷ 1000/3600

= 1 × 3600/1000

Hence, 12m/s = 12 × 3600/1000

= 43.2km/h

Step-by-step explanation:

slope interception formula is

y-y1=m(x-x1)

where m is m=y-y1/x-x1 in this case m=-2 because the line we are trying to find is parallel to the given one y=-2x-6 where slope k=-2

so the final equation would be

y-1=-2(x-(-4))

y-1=-2x-2*4

y=-2x-8+1=-2x-7

The solution to the linear system represented by the matrix is \((-4,13)\).

So, option \(D\) is correct.

The first column in the matrix represent the values of x and the second column in the matrix represent the values of y.

The given augmented matrix can be written as  

\(1.x+0.y=-4\). So, \(x=-4\)

. So,

So, solution set is \((-4,13)\).

Therefore, option \(D\) is correct

Learn more about solution of a matrix here:

https://brainly.com/question/1407076

Answer:

$763,808.48

Step-by-step explanation:

765,000 - (4,697.77 - (765,000 * .055/12)) =

$763,808.48

The number of students in each bus is 21

Given data

Total number of students on the trip = 172

25 students traveled in cars

7 buses were filled

let the number students on each bus be x

number of students on the bus is gotten by

172 - 25 = 147

so 147 students travelled by bus and the total number of buses is 7.

to get the number of students in each bus we solve as follows

147 / 7 = 21

Hence each bus contains 21 students.

Read more on word problems here: https://brainly.com/question/21405634

#SPJ1

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

For such more questions on Power Sets Examples for Sets

https://brainly.com/question/33026825

#SPJ8

Answer:

12 ft

Step-by-step explanation:

Hi there!

1) Find the length of the other leg in the right triangle

There are two ways we can go about this. The first way is to use trigonomic ratios:

We're given one of the legs and we're trying to solve for the other, so we can use the tangent ratio:

\(tan\theta=\frac{opp}{adj}\)

Let x be equal to the length of the other leg. Plug in the known values:

\(tan45=\frac{x}{7}\\7*tan45=x\\x=7\)

The other way to find this is to observe the angles. Because we're given that two of the angles are 45 and 90 degrees, we know that the third angle is 45 degrees. This makes this an isosceles triangle, meaning the other leg is 7 ft long.

2) Determine the height of the hoop

Add 7 ft and 5 ft (the person's height):

7+5=12 ft

I hope this helps!

Answer:

a3 - b3 = (a - b) (a2 + ab + b2).

Step-by-step explanation: i think.

Answer:

C is the answer!

Step-by-step explanation:

Answer:

adult $13   student $15

Step-by-step explanation:

A=adult        S = student

9A + 4S = 177

1A + 4S =  73

Multiply the second by (-1)

9A +4S = 177

-1A -4S = -73

ADD BOTH (4S will be cancelled)

  8A = 104

   A = 13      ( Adult ticket = $13)

13 + 4S = 73

4S = 60

S = 15  ( student ticket $15)

Answer: I'm not sure if this is right but I believe its point E, F, G, J

Step-by-step explanation:

Don't use this without getting confirmation I don't want to trip anyone up!

Answer: EFG is correct

Step-by-step explanation:

I did the quiz

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

To know more about hypothesis here

https://brainly.com/question/14517618

#SPJ4

To determine the local maxima and minima of the function f(x, y), which is given by\(\[ f(x, y)=\left(x^{2}+y\right) e^{y / 2} \],\) we need to apply the following steps:

To determine the local maximum and minimum values and saddle points of the given function

\(f(x, y) = \[ \left(x^{2}+y\right) e^{y / 2} \]\)

Step 1:Find the first partial derivatives with respect to x and y, fsubx and fsuby, of the function f(x, y).

\(\[ f_{x}=2 x e^{y / 2}+\left(x^{2}+y\right) e^{y / 2} / 2 \] and \[ f_{y}=e^{y / 2}+x e^{y / 2}+\left(x^{2}+y\right) e^{y / 2} / 2 \]\)

Step 2:Find the critical points of f(x, y), by setting both fsubx and fsuby equal to zero. We can do this by solving the following system of equations: fsubx = 0 and fsuby = 0.Using fsubx=0,

\(\[2x e^{y/2}+\frac{1}{2}(x^2+y)e^{y/2}=0\]\[x e^{y/2}(2+x+y)=0\]\[x=0\ or\ y=-2-x\]\)

Now using fsuby=0,

\(\[e^{y/2}+x e^{y/2}+\frac{1}{2}(x^2+y)e^{y/2}=0\]\[e^{y/2}(1+x+\frac{1}{2}(x^2+y))=0\] Since e^(y/2) > 0\)

for all values of y,

we can conclude that

\(\[1+x+\frac{1}{2}(x^2+y)=0\]\)

Step 3:Find the second partial derivatives of f(x, y), fsubxx, fsubyy, and fsubxy, and then evaluate them at the critical points that we found in step 2.

\(\[ f_{x x}=2 e^{y / 2}+\left(x^{2}+y\right) e^{y / 2} / 2 \] \[ f_{y y}=e^{y / 2}+\left(x^{2}+y+2\right) e^{y / 2} / 2 \] \[ f_{x y}=e^{y / 2}+x e^{y / 2}+\left(x^{2}+y\right) e^{y / 2} / 2 \]\)

Now, let us find the critical points that we found in Step 2 and evaluate fsubxx, fsubyy, and fsubxy at each of them:

(i) For the critical point where x = 0, y = -2

Using fsubxx(0, -2), fsubyy(0, -2), and fsubxy(0, -2), we get:

fsubxx(0, -2) = 1/2, fsubyy(0, -2) = 5/2, and fsubxy(0, -2) = -1/2

Since fsubxx(0, -2) > 0 and fsubyy(0, -2) > 0, and

fsubxx(0, -2)fsubyy(0, -2) - [fsubxy(0, -2)]² = 1/4(5/2) - 1/4 > 0,

we can conclude that the critical point (0, -2) corresponds to a local minimum.

(ii) For the critical point where x = -1, y = 0

Using fsubxx(-1, 0), fsubyy(-1, 0), and fsubxy(-1, 0), we get:

fsubxx(-1, 0) = 5/2, fsubyy(-1, 0) = 1/2, and fsubxy(-1, 0) = 1/2

Since fsubxx(-1, 0) > 0 and fsubyy(-1, 0) > 0, and

fsubxx(-1, 0)fsubyy(-1, 0) - [fsubxy(-1, 0)]² = 5/4 - 1/4 > 0,

we can conclude that the critical point (-1, 0) corresponds to a local minimum.

(iii) For the critical point where x = -2, y = -6

Using fsubxx(-2, -6), fsubyy(-2, -6), and fsubxy(-2, -6), we get:

fsubxx(-2, -6) = 13/2, fsubyy(-2, -6) = 1/2, and fsubxy(-2, -6) = -7/2

Since fsubxx(-2, -6) > 0 and fsubyy(-2, -6) > 0, and

fsubxx(-2, -6)fsubyy(-2, -6) - [fsubxy(-2, -6)]² = 13/4 - 49/4 < 0,

we can conclude that the critical point (-2, -6) corresponds to a saddle point.

Therefore, the local minimum values of the given function are f(0, -2) = 0 and f(-1, 0) = -1/2, and the saddle point of the given function is (-2, -6).

To know more about saddle points visit:

brainly.com/question/31669578

#SPJ11

Answer:

x=5

Step-by-step explanation:

     May I have brainiest I'm trying to level up!

                 </3 PureBeauty

Answer:

x=5

Step-by-step explanation:

6x-3 = 3x +12

+3            +3

6x = 3x +15

-3x   -3x

3x = 15

divided both sides by 3 to get your answer

Answer:

The common ratio is 3

Step-by-step explanation:

Recall that an exponential function is defined as:

\(f(x)=A\,r^x\)

where A is a multiplicative factor normally associated with the "first term of a geometric sequence", and "r" is the "common ratio" that is used to generate each of the terms of the associated geometric sequence:

\(a_n=a_1*r^{n-1}\)

So in this case:

\(a_1=7=a_1\,r^0\)

\(a_2=21=a_1\,r^1=7\,r\)

from which we derive that the common ratio "r" must be "3".

we can also corroborate that this is in fact the correct common ratio by testing the following terms of the sequence;

\(a_3=63=7\,r^2=7\,*\,9\)

\(a_4=189=7\,r^3=7\,*\,27\)

\(a_5=567=7\,r^4=7\,*\,81\)

Answer:

He should have said that his small brother had 100 small building bricks, but lost 5 in total now.

Answer:

perimeter =32x+14

Step-by-step explanation:

perimeter = 19x+7x+6x+14

=26x+6x+14

=32x+14

Answer:

D

Step-by-step explanation:

Answer:

226.865 square inches.

Step-by-step explanation:

The equation for the area of a circle is \(\pi r^2\). Let's use 3.14 for pi. The radius can be found by dividing 17/2 = 8.5. 8.5 squared is 72.25. Finally, multiply by pi to get 226.865.

The measure of the smallest interior angle of the triangle can be found by using the fact that the sum of the measures of the interior and exterior angles of a triangle is always 180 degrees.

Since the exterior angles are in the ratio 3:4:5, we can assign variables to the angles and set up equations to solve for their measures.

Let's assume the measures of the exterior angles are 3x, 4x, and 5x, where x is a common factor. According to the property of the exterior angles of a triangle, we have the equation 3x + 4x + 5x = 360 degrees, since the sum of all three exterior angles is 360 degrees. Simplifying this equation, we get 12x = 360 degrees, which leads to x = 30 degrees. Substituting this value back into the ratios, we find that the measures of the exterior angles are 90 degrees, 120 degrees, and 150 degrees, respectively. Since the sum of the interior and exterior angles is always 180 degrees, the smallest interior angle is 180 - 90 = 90 degrees.

Learn more about equations here: brainly.com/question/29657983

#SPJ11

Answer is 64.05% probability that if we chose a student at random

To find the probability that a randomly chosen student would not like the school lunches, we need to find the complement of the probability that they do like the school lunches.

The proportion of 9th graders in the sample is 45%, so the proportion of 10th graders is 100% - 45% = 55%.

Of the 9th graders, 31% said they liked the school lunches, so the proportion that did not like them is 100% - 31% = 69%.

Of the 10th graders, 42% said they liked the school lunches, so the proportion that did not like them is 100% - 42% = 58%.

So, the probability that a randomly chosen student would not like the school lunches is:

(0.45 * 0.69) + (0.55 * 0.58) = 0.6405 or 64.05% (rounded to two decimal places).

Therefore, there is a 64.05% probability that if we chose a student at random, they would not like the school lunches.

To know more about probability:

https://brainly.com/question/251701

#SPJ11

Answer:

Aro can paddle at a speed of 1.56 miles per hour.

The river’s speed is 0.52 miles per hour.

Step-by-step explanation:

trust

The solution of the given system of equation x - y = 1.04 and x + y = 2.08 are x = 1.56 and y = 0.52 thus Aro can paddle at a speed of miles per hour is 1.56 and The river’s speed in miles per hour 0.52.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given,

x = speed of Aro

y = speed of River

x - y = 1.04

x + y = 2.08

Add both equations,

2x = 3.12

x = 1.56

And, y = 1.56 - 1.04 = 0.52

Hence "The solution of the given system of the equation x - y = 1.04 and x + y = 2.08 are x = 1.56 and y = 0.52 thus Aro can paddle at a speed of miles per hour is 1.56 and The river’s speed in miles per hour 0.52".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

Answer:

f(-10)=105

Step-by-step explanation:

When something says f(x), the (x) is your plugin value. So basically in this scenario, x= -10

    1) f(-10)= (-10)^2+5

    2)f(-10)= 100+5

    3) f(-10)= 100+5

Ok hopefully I remembered my properties of exponents correctly, but I'm pretty sure that's the answer. If it isn't, you should try making the 100 negative instead of positive from step 2 and work from there.

Answer:

15

Step-by-step explanation:

If we start counting forwards from 11 and backward from 19 we will find that the number in between them is 15.

11|19

12|18

13|17

14|16

15|15

Answer:

15.

Step-by-step explanation:

(19 + 11) / 2

= 30/2

= 15.

We are required to know if the point (4,10) is a solution of the equation

5x + 10y = 120

If a point is a solution of the given equation, then when we replace x = 4 and y = 10 in the equation, the condition must stand, that is:

5(4) + 10(10) should be equal to 120

Evaluating the operations, we have:

20 + 100 = 120

Note the result of the operations equals the right side of the equation, thus we conclude the point (4,10) is a solution of 5x + 10y = 120

1. 3x + 12x - 3y

15x - 3y

2. 14x + 3(y+5) - 2y

14x + 3y + 15 - 2y

14x y + 15

3. 2x² + x + 3x - 5

2x² + 4x - 5

4. 4y² + 7 - 3y² + 25

y² + 32

5. 2x(3+x) - 6x

6x + 2x² - 6x

2x²

6. y + 13 - 9

y + 4

7. 8(x-4)

8x - 32

8. 4y² + 7y + 8y²

12y² + 7y

9. 26 + x(3+4x)

26 + 3x + 4x²

4x² + 3x + 26

10. 10y + 8x + 98 - 70 + 16y

26y + 8x + 28

The measure of angle EBF is  80° .

In the question ,

it is given that ,

point A, B and C lie on a straight line .

and G , B and F lie on a different straight line .

angle GBA = 24° so ,

GBA + GBC = 180°   ...because linear pair

So , GBC = 180 - 24 = 156°

angle CBF = 24°          ......because vertically opposite angles are equal .

from the figure , we see that angle GBC and angle ABF are vertically opposite angles , so ,

156° = ABE + EBF         .....(1)

Since the line AC and DF are parallel and BE is the transversal

So  , angle DEB + angle ABE = 180°

104° + ABE = 180°

ABE = 180-104

ABE = 76°

Substituting ABE = 76° in the equation (1) ,

we get ,

156 = 76+ EBF

EBF = 156 - 76

EBF = 80°

Therefore , The measure of angle EBF is  80° .

Learn more about Angles here

https://brainly.com/question/18250950

#SPJ9