Answer:
Step-by-step explanation:
SV = RV
2x+2 = 10
x = 4
r² = RV² + VZ² = 10²+7.5² = 156.25
UZ = √[r²- (QR/2)²] = √[156.25 - 10²] = √56.25 = 7.5
D. Becaus it is the only one that mentions the characters of a triangle
The given expression :

For coordinates:
put x = 0 then :

Coordinate : (x, y) = (0, 1)
Put x= 1 and simplify :

Coordinate : (x, y) = ( 1, 0.5)
Put x = (-2) and simplify :

Coordinate : (x, y) = ( -2, 4)
Put x = (-3) and simplify :

Coordinate : (x, y) = (-3, 8)
Substitute x = (-1) and simplify :

Coordinate : (x, y) = ( -1, 2)
So, the coordinates are :
The graph is :
Answer:
0
Step-by-step explanation:
∫∫8xydA
converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.
So,
∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ
So we integrate r from 0 to 9 and θ from 0 to 2π.
∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ
= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ
= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ
= 8[6561/4]∫(cosθsinθ)dθ
= 13122∫(cosθsinθ)dθ
Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2
Substituting this we have
13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ
= 13122/2[-cos2θ]/2 from 0 to 2π
13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]
= -13122/4[cos4π - cos(0)]
= -13122/4[1 - 1]
= -13122/4 × 0
= 0
Answer
t3/b=x
Step by step explanation
t = bx/3
Take b/3 to the left hand side
= x = 3t/b
Hope it helped !!
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