Please someone help me to prove this.
2 answers:
Answer: see proof below
<u>Step-by-step explanation:</u>
Use the following Sum Identity:
Given: A + B + C = 180° → A + B + C = π
<u>Proof LHS → RHS</u>
Given: A + B + C = π
Multiply by 2: 2(A + B + C = π)
→ 2A + 2B + 2C = 2π
→ 2A + 2B = 2π - 2C
Apply tan: tan(2A + 2B = 2π - 2C)
→ tan (2A + 2B) = tan(2π - 2C)
→ tan (2A + 2B) = - tan 2C
Simplify: tan 2A + tan 2B = -tan 2C (1 - tan 2A · tan 2B)
Distribute: tan 2A + tan 2B = -tan 2C + tan 2A · tan 2B · tan 2C
Add tan 2C: tan 2A + tan 2B + tan 2C = tan 2A · tan 2B · tan 2C
LHS = RHS is proven
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Answer:
144
Step-by-step explanation:
The equation to find c is:
So put -24 into b:
Which simplifies to:
144
So if you want to test this:
x^2 - 24x + 144
is
(x-12)^2
Notice the grid, the points are (-5, -2) and (4, -1), thus
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