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4 years ago

6

How to find the intersection of a circle and parabola?

1 answer:

maria [59]4 years ago

8 0

Use the substitution method to solve for the system of equations:

Circle: (x-h)² + (y-k)² = r²
Parabola: y = a(x-h)² + k or x = a(y-k)² + h

(I am using the "y=" parabola for this example)

Substitute a(x-h)² + k for y into the circle equation and solve for x:
(x-h)² + [(a(x-h)² + k)² - k]² = r²

Then, substitute that x value into the parabola equation to solve for y.

Hope this makes sense!

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A.line CD<br> B.line ED<br> C.point C<br> D.point D

Hunter-Best [27]

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3 years ago

Jack Thomas has an ice cream cone with 280 calories. How long would it take him to burn off the calories by:

mariarad [96]

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3 years ago

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What is the midpoint of line segment AB?

Elza [17]

Answer

Midpoint = (3, 5.5)

Step by step explanation

Here we have to use the midpoint formula.

Midpoint = ( $\frac{x1 + x2}{2} , \frac{y1 + y2}{2} \\$ )

Here the point A = (-1, 8) and B = (7, 3)

x1 = -1, y1 = 8, x2 = 7 and y2 = 3

Now plug in these values into the formula.

Midpoint = ( $\frac{-1 + 7}{2} , \frac{8 + 3}{2}$

= (6/2, 11/2)

= (3, 5.5)

Therefore, the midpoint the line segment AB is (3, 5.5)

Thank you.

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4 years ago

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Of tami's pets 2/6 are dogs and 3/6 are cats what fractions of tami's pets are dogs or cats

earnstyle [38]

2/6 + 3/6= 5/6 are either dogs or cats

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4 years ago

Marcy left for school and felt like running. She ran for a while and then stopped to rest. After resting, she walked the rest of

egoroff_w [7]

Answer:

The last graph best represents the story

Step-by-step explanation:

Mary left for school from rest. So the initial speed is zero.

So we start from the origin and draw a straight line with a positive slope to running, that is as time increases , distance covered also increases.

When she is resting, her speed is zero so we draw a horizontal line to indicate this second phase of her journey.

After resting she still continued her journey to school.

This part also has a positive slope.

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3 years ago