Acarpenter is framing a wall that is 8 feet high and 15 feet long. if the carpenter wants to be sure that the sides of the wall meet at right angles, then what should the diagonal measurement of the wall be?

17 feet.

Step-by-step explanation:

Let x represent the length of diagonal of wall.

We have been given that a carpenter is framing a wall that is 8 feet high and 15 feet long. The carpenter wants to be sure that the sides of the wall meet at right angles.

Since sides of wall meet at right triangle, so length, height and diagonal of wall will form a right triangle and diagonal will be hypotenuse of right triangle.

We will Pythagoras theorem to solve for diagonal as:

Switch sides:

Take square root of both sides:

Since length cannot be negative, therefore, the measurement of diagonal should be 17 feet.

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)