Answer:
8.D
9.A
Step-by-step explanation:
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Answer:
Center ( 4 , -2) and r = 6
Step-by-step explanation:
x² - 8x + y² + 4y - 16 = 0
x² - 8x + y² + 4 y = 16
x²- 2*4x + y² + 2 *2y = 16
(x² - 2*4x + 16 ) - 16 + (y² + 2*2y + 4) -4 = 16
(x - 4)² + (y + 2)² = 16 + 16 + 4
(x - 4)² + (y -[-2])² = 36
(x- 4)² + ( y - [-2] )² = 6²
Compare with (x - h)²+ (y - k)² = r²
Center ( 4 , -2) and r = 6
Answer:
y + 16 = 3(x + 5)
Step-by-step explanation:
When you write an equation in point-slope form, you only need two things: a point and a slope.
Given:
The standard point-slope equation is
y - y₁ = m(x - x₁)
Plug in what you know.
y - (-16) = 3(x - (-5))
Simplify.
y + 16 = 3(x + 5)
This is your equation.
Learn with another example:
brainly.com/question/24436844
Answer:
<em>100feet</em>
Step-by-step explanation:
Given the height of the object modelled by the equation
y = -16x^2 + 48x + 64
We can find the maximum height reached by the object since we are not told what to find.
The velocity of the object at its max height is zero.
dy/x = 0
dy/dx = -32x + 48
0 = -32x + 48
32x = 48
x = 48/32
x = 1.5secs
get the max height by substituting x = 1.5 into the given equation:
y = -16x^2 + 48x + 64
y = -16(1.5)^2 + 48(1.5)+ 64
y = -36+72+64
<em>y = 100 feet</em>
<em>Hence the maximum height reached by the object is 100feet</em>