Use the distributive property to expand this expression. z(–6.4 – 3.5x) a. –6.4z – 3.5x b. z – 6.4 – 3.5x c. –6.4z – 3.5xz d. –6.4xz – 3.5xz

C.–6.4z – 3.5xz

Step-by-step explanation:

z(–6.4 – 3.5x)

= -6.4z - 3.5xz

C. –6.4z – 3.5xz

Step-by-step explanation:

Hi, to answer this question we have to apply the distributive property:

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.  

In this case we have to multiply each term (-6.4 and -3.5x) by z, then add both.

z(–6.4 – 3.5x)

-6.4(z)-3.5x(z)

–6.4z – 3.5xz

The correct option is C.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: