9) Which expression is equivalent to 4(6 - 2x)?
A)
24 - 8x
B) 24-6x C) 10-8x D) 10-6x

It would be A

Step-by-step explanation:

The Key Skill is: Distribution Property

1) We have the expression 4(6-2x)

2) We have to use distribution property to expand this.

The way distribution property works is that we need to multiply the 6 by the 4 on the outside, and also the -2x by the 4 on the outside.

4 x 6 = 24

4 x -2x = -8x

Therefore, the final expression is 24-8x.  

The only answer that matches this is A.

Hope you understood & have a nice DAY!! :D

what do u need to know

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).