By determining the area of the square, we get 
Step-by-step explanation:
Step 1:
The area of a square is given by squaring its side length.
The given squares side length is
cm.
The area of a square
Here a is the side length.
The area of the square is given as 7 cm².
Step 2:
Substituting the value of a in the equation, we get

Taking the x values on one side and the constants on the other side, we get

So 
So it has been proved.
To shift vertically the graph of the function
, you have to add a constant to its expression:

If k is positive, you shift the function k units above, if k in negative, you shift the function k units below.
So, if you want to shift the graph of
two units down, you have to subtract 2 (i.e., add -2):

Answer:
97
Step-by-step explanation:
the shape leans a little so it's more than 90
Answer:
B) {x| x<-12 or x>-6}
Step-by-step explanation:
-2/3x>8
change -2/3 as -3/2 and multiply both sides by -3/2x
-2/3x•(-2/3)x<-3/2•8
calculate
reduce
x<-3•4
multiply numbers
-----------
x<-12
-----------
now we're done with the first equation, let's do the other equation to find the answer!
-2/3x<4
multiply both sides by -3/2 and again change -2/3 by -3/2
-3/2•(-2/3)x>-3/2•4
calculate
reduce
x>-3•2
multiply numbers
----------
x>-6
----------
Answer:
39062.5
Step-by-step explanation:
-2+-10+-50+-250
-10/2=-250/-50 = 5
sum of the geometric sequence
Sₙ = arⁿ⁻¹ /r-1 a=-2, r = 5
S₈ = -2(5)⁸⁻¹/(5-1) = 2(5⁷)/4 = 2(78125)/4= 78125/2= 39062.5
S₈=39062.5