Pythagorean theorem: a^2 + b^2 = c^2
36^2 + b^2 = 85^2
1296 + b^2 = 7225
b^2 = 7225 - 1296
b^2 = 5926
b = square root of 5929
b = 77 inches long
The equation of the circle is x² + y² = 25 and the transformation equation of the circle is x² + y² = 100.
<h3>What is the equation of the circle?</h3>
The following parameters are derived from the question:
(x - a)² + (y - b)² = r²
Center (a, b) = (0, 0)
Radius (r) = 5
Then the equation of the circle will be
x² + y² = 5²
x² + y² = 25
Then the transformation of the circle will be
Center (a, b) = (0, 0)
Radius (r) = 10
Then the equation of the circle will be
x² + y² = 10²
x² + y² = 100
More about the equation of circle link is given below.
brainly.com/question/10618691
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Answer: nonsense
Step-by-step explanation:
7x+3=5(x-3)+2x
7x+3=5x-15+2x
7x+3-5x+15-2x=0
18=0
Non-sense
Answer:
3x−4y=9 −3x+2y=9
Add these equations to eliminate x: −2y=18
Then solve−2y=18
for y: −2y=18 −2y −2 = 18 −2 (Divide both sides by -2)
y=−9
Now that we've found y let's plug it back in to solve for x.
Write down an original equation: 3x−4y=9
Substitute−9for y in 3x−4y=9: 3x−(4)(−9)=9
3x+36=9(Simplify both sides of the equation)
3x+36+−36=9+−36(Add -36 to both sides)
3x=−27 3x 3 = −27 3 (Divide both sides by 3) x=−9
Answer: x=−9 and y=−9
Hope This Helps!!!
<u>Part A</u>
<u />
So, the x-intercepts are 
<u>Part B</u>
The vertex will be a minimum because the coefficient of 
is positive.
The x-coordinate of the vertex is 
Substituting this back into the function, we get 
So, the coordinates of the vertex are 
<u>Part C</u>
Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.
The graph is shown in the attached image.
