In a parallelogram whose area is 15, the base is represented by x+7 and the altitude x-7. Find the base of parallelogram.

1 answer:

7 0

Area = (base)*(height)
15 = (x+7)(x-7)
(x+7)(x-7) = 15
x^2 - 49 = 15
x^2 - 49+49 = 15+49
x^2 = 64
sqrt(x^2) = sqrt(64)
x = 8 ... note that x can't be negative

If x = 8, then the base is...
x+7 = 8+7 = 15

Therefore the base is 15 units.
(the height is x-7 = 8-7 = 1 unit)

You might be interested in

Toby thinks of a number less than 15. He divides it by 2 and then he adds 4. He then divides it by 3. His awnser is 3. 5

satela [25.4K]

Answer:

The number he thought of was 13

Step-by-step explanation:

Revers the problem

3.5 * 3 = 10.5

10.5 - 4 = 6.5

6.5 * 2 = 13

7 0

2 years ago

An interior angle of a regular polygon has a measure of 135° how many sides does it have

butalik [34]

8 sides

the exterior angle = 180° - 135° = 45° ( exterior/ interior are supplementary )

the sum of the exterior angles of a polygon = 360°

number of sides = $\frac{360}{45}$ = 8

6 0

3 years ago

This scatter plot shows the relationship between students’ scores on the first exam in a class and their corresponding scores on

son4ous [18]

Answer:

D) 2 points

Step-by-step explanation:

Compare a couple of points in the clumps of points and that is your answer

7 0

3 years ago

On a coordinate plane, triangle T V W has points (negative 4, 8), (0, 4), and (4, 4).

Vanyuwa [196]

The coordinates of the endpoints of line segments T'V' are; T'(-1, 2) and V'(0, 1).

<h3>What are the coordinates of the endpoints of the segment T'V'?</h3>

It follows from the task content that the transformation involved in the formation of the image from the pre-image is dilation by a scale factor of 1/4.

On this note, given that the coordinates of T and V from the task content are; (-4, 8) and (0,4), it follows that the coordinates of the endpoints as required are; T'(-1, 2) and V'(0, 1).