Select all the correct answers.

Which sequences of transformations applied to shape I prove that shape I is similar to shape II?

a translation 12 units right and 5 units up, and then a dilation by a scale factor of 2
a reflection across the x-axis and then across the y-axis, and then a dilation by a scale factor of 2
a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
a reflection across the y-axis, and then a dilation by a scale factor of 2
a reflection across the x-axis, and then a dilation by a scale factor of 2

p = 6s

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!