Question

Use the Distributive Property to expand this expression.

z(–6.4 – 3.5x)

Answer 1

Answer:

$z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx$

Hence, Option 'C' is true.

Step-by-step explanation:

Given the expression

$z\left(-6.4\:-3.5x\right)$

Apply distributive law:   $a\left(b-c\right)=ab-ac$

Here:  $a=z,\:b=-6.4,\:c=3.5x$

so the expression becomes

$z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x$

                         $=-6.4z-3.5zx$                 ∵  $+\left(-a\right)=-a$

Therefore,

$z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx$

Hence, option 'C' is true.