Answer:
Area of gray region = 
Step-by-step explanation:
The area covered by the furniture can be subtracted from the total area of the room to calculate the area of the gray region.
<em>Total</em> area of the room: 
Area taken up by furniture: 
Area of gray region = total area of the room - area taken up by furniture
Area of gray region = 
Remember to distribute the negative sign:
Area of gray region = 
Combine like terms:
Area of gray region =
Answer:
?? = 900
Step-by-step explanation:
Solve algebraically
let x be ball and y be cube
x + y = 100
x - y = 80
xy = ??
We can solve by elimination. Eliminate one of the variables by adding OR subtracting the entire equations. I will add.
. x + y = 100
<u>+ x - y = 80</u> y + - y = y - y = 0; The variable is eliminated
. 2x = 180 Divide both sides by 2 to isolate x
. x = 90
Substitute x = 90 into one of the equations.
x + y = 100
90 + y = 100 Isolate y by subtracting 90 from both sides
y = 100 - 90
y = 10
Find xy = ?? by substituting y for 10 and x for 90.
xy = (90)(10) = 900
Therefore the value of ?? is 900.
Answer:
p = 
, q = 9
Step-by-step explanation:
4x² + 12x ( factor out 4 from each term )
= 4(x² + 3x)
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 3x
= 4(x² + 2( )x + 
- )
= 4(x + )² - 4 ×
= 4(x + )² - 9
Answer:
.50
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
(100-4)/8
12
that the answer
