What is 6x-5y=22 y= -8
2 answers:
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The area:
Substitution: u = - 6 x
du = - 6 dx
dx = -1/6 du
∫ -1/6 e^(u) du = - 1/6 e^(u) = - 1/6 e^(-6x)
= π / 3
Substitution: u = - 6 x
du = - 6 dx
dx = -1/6 du
∫ -1/6 e^(u) du = - 1/6 e^(u) = - 1/6 e^(-6x)
= π / 3
Answer:
(x + 4)² + (y - 2)² = 8
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 4, 2 ) , then
(x - (- 4))² + (y - 2)² = r²
(x + 4)² + (y - 2)² = r²
CA is the radius of the circle
To find r use the distance formula
r =
with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)
r =
=
= , then r² = (
)² = 8
Then
(x + 4)² + (y - 2)² = 8 ← equation of circle