Answer:
5
Step-by-step explanation:
looking at the congruency statement, we can tell A and D are equal
so we set up the equation that way: 10x=50
divide by 10 on both sides: x=5
Answer:
2
Step-by-step explanation:
It is $9.15 cents per pie
Answer:
√x³=√(x²·x)=x√x
√xy³z=√(x·y²·y·z)=y√xyz
√18x²y=√(3²·2·x²·y)=3x√2y
√32x⁴y²=√(2⁴·2·x⁴·y²)=2²x²y√2=4x²y√2
2√16x⁷y³z⁴=2√(2⁴·x⁶·x·y²·y·z⁴)=2³x³yz²√xy=8x³yz²√xy
-3√180x⁵y=-3√(3²·2²·5·x⁴·x·y)=-3(3)(2)x²√5xy=-18x²√5xy
5√108xyz²=5√(2²·3²·3·x·y·z²)=5(2)(3)z√3xy=30z√3xy
3x√xy¹⁰z⁷=3x√x·y¹⁰·z⁶·z)=3xy⁵z³√xz
x²√x³y²=x²√(x²·x·y²)=x²·x·y√x=x³y√x
Answer:
-4sinθcosθ
Step-by-step explanation:
Note:
1. (a + b)^2 = a^2 + 2ab + b^2
2. (a - b)^2 = a^2 - 2ab + b^2
3. sin^2θ + cos^2θ = 1
(sinθ -cosθ)^2 - (sinθ + cosθ)^2
= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)
= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)
= 1 - 2sinθcosθ - (1 + 2sinθcosθ)
= 1- 2sinθcosθ -1 - 2sinθcosθ
= - 2sinθcosθ - 2sinθcosθ
= -4sinθcosθ