Heya !
Given expression -
Subtracting 25 both sides ,
Dividing by 3 on both sides ,
Therefore ,
Given expression -
Subtracting 25 both sides ,
Dividing by 3 on both sides ,
Therefore ,
Mrs. Chang's class built a platform for use in a school play. What is the
2 answers:
Answer:
v =
Step-by-step explanation:
I'd start with breaking the platform into two parts, the long flat rectangle and then the bit on top. You'll have to add these together at the end!
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So part one: the long piece
formula: v = lwh
dimensions: 12, 3, 2
plug in: v = 12 * 3 * 2
solve: v = 72^3
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part two: smaller rectangle on top ::
formula: v = lwh
dimensions: 4, 3, 3
plug in: v = 4 * 3 * 3
solve:v = 36*3
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now, we add for the total of the entire shape!
final answer: 72 + 36 = 108^3
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Answer:
given you are asked to simplify
Step-by-step explanation:
You have to multiply the numerator and denominator by the denominator's conjugate.
The conjugate of a+bi is a-bi.
When you multiply conjugates, you just have to multiply first and last.
(a+bi)(a-bi)
a^2-abi+abi-b^2i^2
a^2+0 -b^2(-1)
a^2+-b^2(-1)
a^2+b^2
See no need to use the whole foil method; the middle terms cancel.
So we are multiplying top and bottom of your fraction by (-3+4i):
So you will have to use the complete foil method for the numerator. Let's do that:
(-3+5i)(-3+4i)
First: (-3)(-3)=9
Outer:: (-3)(4i)=-12i
Inner: (5i)(-3)=-15i
Last: (5i)(4i)=20i^2=20(-1)=-20
--------------------------------------------Combine like terms:
9-20-12i-15i
Simplify:
-11-27i
Now the bottom (-3-4i)(-3+4i):
F(OI)L (we are skipping OI)
First:-3(-3)=9
Last: -4i(4i)=-16i^2=-16(-1)=16
---------------------------------------------Combine like terms:
9+16=25
So our answer is