Answer
D. Angle 8
Step-by-step explanation:
343t^6
Words to take up 20 characters
Answer:
wooowooowowowowowowowowow
Step-by-step explanation:
Answer:
x = 5, x = -5 are your answers
Step-by-step explanation:
First, FOIL (First, Outside, Inside, Last)
(x + 4)(x - 4) = 9
x(x) = x²
x(-4) = -4x
4(x) = 4x
4(-4) = -16
x² - 4x + 4x - 16 = 9
Simplify. Combine like terms
x² (-4x + 4x) - 16 = 9
x² - 16 = 9
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Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 16 to both sides
x² - 16 (+16) = 9 (+16)
x² = 25
Next, isolate the x completely by rooting both sides
√(x²) = √(25)
x = √25
x = √25 = √(5 x 5)
x = √25 = √(-5 x -5)
x = 5 , -5
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x = 5, x = -5 are your answers
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Answer:
A. 1,485 cubic cm. B. 27
Step-by-step explanation:
The new prism is dilated by a factor of 3, that means it's made bigger, 3 times bigger on each side.
The dimensions of the new prism are then 12 cm by 7.5 cm by 16.5 cm.
Its volume is then of 12 x 7.5 x 16.5 = 1,485 cubic cm
To answer the second question...
Let's calculate the volume of the original prism:
The original prism's volume was 4 x 2.5 x 5.5 = 55 cubic cm
The new volume is then 1485 / 55 = 27 times bigger than the original.
Which is normal, since we increased each side (dimension) by a factor of 3, so 3x3x3 = 27.
