Ke shawn is placing a right triangle in the coordinate plane. he knows that the longer leg is twice the length of the shorter leg. he places the longer leg on the x-axis.

what coordinates should he assign to the third vertex of the triangle?

(2a, 0)

Step-by-step explanation:

the length of the short side times 2 would equal the long side. We know this because the question says: "the longer leg is twice the length of the shorter leg". And the length of the short side is "a". so 2 times the length of the shorter leg, "a", equals the longer side: 2 • a = longer side or 2a. Since the side is on the x-axis, 2a is the first coordnate. Then, the side is exactly on the x-axis so the y-coordnate is 0. (2a, 0)

Don't believe me? here I did the test:

replication and blocking

step-by-step explanation:

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!