Pick the expression that matches this description:

A trinomial with a leading coefficient of 333 and a constant term of -5−5minus, 5

Choose 1

Choose 1

(Choice A)

A

-5m^2+4m+3−5m

2

+4m+3minus, 5, m, squared, plus, 4, m, plus, 3

(Choice B)

B

3m^2-53m

2

−53, m, squared, minus, 5

(Choice C)

C

3m^2-5m+13m

2

−5m+13, m, squared, minus, 5, m, plus, 1

(Choice D)

D

3m^2+m-53m

2

+m−

D.

Step-by-step explanation:

We have been given 4 expressions. We are asked to choose a trinomial with a leading coefficient of 3 and a constant term of -5.

Let us check our given choices one by one.

A.

Upon looking at our expression, we can see that leading coefficient is and constant term is 3, therefore, option A is not a correct choice.

B.

Upon looking at our expression, we can see that leading coefficient is 3 and constant term is . But we can see that this expression is not a trinomial as it has only two terms, therefore, option B is not a correct choice.

C.

Upon looking at our expression, we can see that leading coefficient is 3 and constant term is 1 . Therefore, option C is not a correct choice.

D.

Upon looking at our expression, we can see that leading coefficient is 3 and constant term is and expression has three terms. Therefore, option D is the correct choice.

Step-by-step explanation:

Right triangle ABC is reflected over AC to form triangle AFC.

Triangle AFC dilated by a scale factor of two-thirds to form triangle DEC.

Reflection is a rigid transformation which preserves lengths and angles, then

Dilation is a transformation which maps the triangle into similar triangle, so

Thus,

Similar triangle have congruent corresponding angles, so

and proportional corresponding sides

Thus, correct options are: