Which t-chart represents the absolute value equation y = |5xl?​

Choice C

Explanation:

Choices A, B and D are not true because of the negative y values. The result of an absolute value is never negative. So we can rule out choices A, B, and D. We have choice C as the only thing left, so this must be the answer.

Another way to see this is by plugging in each x value to see what y value comes out.

If x = -2, then y = |5*x| = |5*(-2)| = |-10| = 10

If x = -1, then y = |5*x| = |5*(-1)| = |-5| = 5

If x = 0, then y = |5*x| = |5*0| = |0| = 0

If x = 1, then y = |5*x| = |5*1| = |5| = 5

If x = 2, then y = |5*x| = |5*2| = |10| = 10

The y outputs from top to bottom are: 10, 5, 0, 5, 10

This matches with what choice C shows.

where is the triangle?

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)