Step-by-step explanation:

The answer is -7
2x-3(x+4)=-5
Multiply by -3
2x-3x-12=-5
Collect like terms
-x-12=-5
Move constant to the right to change its sign
-x=-5+12
Add
-x=7
Change the signs
x=-7
Answer:
12√5
Step-by-step explanation:
According to the attached sketch, there are 2 triangles which we need to focus on, triangle A (in yellow) and triangle B (In red).
If you look at triangle A, we notice that X is the hypotenuse of triangle A. This means that X must be the largest length in triangle A, hence we can say that x must be greater than 24 (or 24 < x)
Now look at triangle B, in this case, they hypotenuse is 30 and x is the length of one of the sides. This means that x must be shorter than the hypotenuse (i.e x < 30)
from the 2 paragraphs above, we can see now that we can assemble an inequality in x
24 < x < 30
If we look at the choices, we can immediately ignore 33 because x must be less than 30,
working out the choices, we find that the only choice which falls into the range 24<x<30 is the 2nd choice 12√5 (= 26.83) (which is the answer)
The last 2 choices give values smaller than 24 and are hence cannot be the answer
Y = mx + b
slope(m) = 7
(5,30)...x = 5 and y = 30
now we sub and find b, the y int
30 = 7(5) + b
30 = 35 + b
30 - 35 = b
-5 = b
so ur equation is : y = 7x - 5 <==
Answer:
height=6 ft
Step-by-step explanation:
-The volume of a rectangular prism is given by the formula:

#We make h the subject of the formula the solve for it:

#Substitute to solve for height:

Hence, the prism has a height of 6 ft.