Answer:
explanations: we multiply with a rational surd
(x-9)*√(x+9)/(√(x-9)*√(x+9)
=(x-9)√(x+9)/

B.( x-9)/√x+3 =( x-9)*(√x-3)/(√x+3)*(√x-3)
= (x-9)*(√x-3)/x-9
=√x-3
The height of crate is 3 feet
<em><u>Solution:</u></em>
Given that Summer Dave builds a crate to hold vegetables
Volume of crate = 48 cubic feet
Base area of crate = 16 square feet
To find: height of crate
The crate is of shape cuboid
The volume of cuboid is given as:

We know that,

Therefore, volume becomes,

Substituting the given values we get,

Thus height of crate is 3 feet
Answer:
C.
Step-by-step explanation:
We have 2 probabilities: Theoretical probability and Experimental probability.
We cant know what will happen as it's just probability but both joe and Jill are making educated guesses based on probabilities, just different kinds.
Answer:
(–8, –4)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the reduction or enlargement of the size of an object by a factor.
Given that triangle XYZ was dilated using the rule (x, y) ⇒ (0.25x, 0.25y) to produce triangle X'Y'Z' with points at X'(-4, 5), Y'(-6, -1) and Z'(-2, -1)
Since (x, y) ⇒ (0.25x, 0.25y)
(x, y) ⇒ 0.25(x, y)
4(x, y) ⇒ (x, y)
We can find the points of XYZ by multiplying by 4
hence:
X = 4(-4, 5) = (-16, 20)
Y = 4(-6, -1) = (-24, -4)
Z = 4(-2, -1) = (-8, -4)