(3x - 4)(4x2 - 5x + 6)

Solve each proportion

mamaluj [8]

Hello.

In order to solve a proportion, you should cross-multiply:

$\displaystyle\frac{7}{x} =\frac{5}{9}$

Multiply 7 times 9 and 5 times x:

5x=63

Divide both sides by 5:

x= $\displaystyle\frac{63}{5}$

Now let's solve the second proportion.

Multiply 8p times 6 and 12 times 15:

48p=180

Divide both sides by 48:

p=3.75

I hope it helps.

Have an outstanding day.

$\boxed{imperturbability}$

5 0

2 years ago

Point A, located at (-11, - 7) on the coordinate plane, is reflected over the x-axis to form point B. Then point B is reflected

hram777 [196]

Answer:

<em>Answer: B(-11,7) C(11,7)</em>

Step-by-step explanation:

<u>Reflections In The Coordinate Plane </u>

Reflect over the x-axis:

When we reflect a point over the x-axis, the x-coordinate remains the same, but the y-coordinate is mapped to its opposite.

The reflection of the point (x,y) over the x-axis is the point (x,-y).

Reflect over the y-axis:

When reflecting a point over the y-axis, the y-coordinate remains the same, but the x-coordinate is mapped to its opposite (its sign is changed).

The reflection of the point (x,y) across the y-axis is the point (-x,y).

Point A is at (-11,-7). When reflected over the x-axis, it maps to Point B located at B(-11,7).

Point B is now reflected over the y-axis and maps to C(11,7).

Answer: B(-11,7) C(11,7)

6 0

3 years ago

Segment AB has endpoints on the coordinate grid where A is (- 18, 5) and B is (- 4, 5) Point Z is located exactly 1/8 of the dis

fenix001 [56]

Given:

Endpoints of segment AB are A(- 18, 5) and B(- 4, 5).

Point Z is located exactly 1/8 of the distance from A to B.

To find:

The value of the x-coordinate of point Z.

Solution:

Point Z is located exactly 1/8 of the distance from A to B.

AZ:AB=1:8

AZ:ZB = AZ:(AB-AZ)= 1:(8-1) = 1:7

It means point Z divided segment AB in 1:7.

Using section formula, the x coordinate of point Z is

$x-coordinate=\dfrac{mx_2+nx_1}{m+n}$

$x-coordinate=\dfrac{1(-4)+7(-18)}{1+7}$

$x-coordinate=\dfrac{-4-126}{8}$

$x-coordinate=\dfrac{-130}{8}$

$x-coordinate=-16.25$

Therefore, the required x-coordinate of point Z is -16.25.

3 0

3 years ago

4. The chart above shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred

givi [52]

The Cost of operating the theater if there are 100 people at a show is 20,000Rs.

The theater is a place where the movies are shown on big screens and Speakers are used for the clear audio of the movie.

In a theater, there will be 3 to 4 shows for a movie or a different movie.

Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.

<h3>What is the meaning of cost?</h3>

The average cost of a college education has gone up dramatically.

Consider a ticket cost of 200rs.

For 100 people in a show,

Cost = 200 × 100

Cost = 20,000.

Hence the cost of operating a theater if there are 100 people at a show is 20,000Rs.

To learn more about the cost visit:

brainly.com/question/1153322

3 0

2 years ago

Please answer question now in two minutes

Nadusha1986 [10]

Answer:

V lies in the exterior of <STU.

Step-by-step explanation:

V lies in the exterior of <STU.

8 0

3 years ago