A wall in a classroom has a length of 16 ft and a diagonal of 20 ft. A student is painting a rectangular mural on the wall. The mural has a length of 6 ft and a diagonal of 10 ft. What is the difference between the width of the wall and the width of the mural? ill mark you brainliest pls help!
Answer choices:
A. 2ft
B. 4ft
C. 10ft
D. 14ft

B. 4 ft

Step-by-step explanation:

First, find the width of the wall.

The length, width, and diagonal form a right triangle, where the diagonal is the hypotenuse and the length and width are the 2 legs.

Use the pythagorean theorem and solve for a, the width of the wall.

a² + b² = c²

a² + 16² = 20²

a² + 256 = 400

a² = 144

a = 12

So, the width of the wall is 12 feet.

Solve for the width of the mural. Again, the diagonal, length, and width form a right triangle.

Use the pythagorean theorem again and solve for a, the width of the mural:

a² + b² = c²

a² + 6² = 10²

a² + 36 = 100

a² = 64

a = 8

So, the width of the mural is 8 feet.

Now, find the difference between the widths of the wall and mural:

12 - 8

= 4

So, the difference between the two widths is B. 4 ft

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is