Answer:
36
Step-by-step explanation:
x^2 + 12 x = 40
To complete the square, take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 to each side
Answer: A=2(wl+hl+hw)
Step-by-step explanation:
W=15 L=5 H=4
A= 2((15*5)+(4*5)+(4*15))
A= 310
Answers:
Scale factor is 8:5
Area ratio is 64:25
Volume ratio is 512:125
=================================================
Explanation:
Divide the second surface area (375) over the first surface area (960) to get
375/960 = 0.390625
Then take the square root of this to get
sqrt(0.390625) = 0.625
The decimal value 0.625 converts to the fraction 5/8, which turns into the scale factor 8:5
-----------------
Once you know the scale factor, you can square both sides to get the area ratio
8:5
8^2:5^2
64:25
The area ratio is 64:25
Then go back to the scale factor, and cube each part to get the volume ratio
8:5
8^3:5^3
512:125
The volume ratio is 512:125
