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Simora [160]
3 years ago
5

Equation for a parabola with a focus of (2, -2) and a directrix of y=-8

Mathematics
2 answers:
Komok [63]3 years ago
7 0
Y=1/8(x^2+4x+44) is correct
Fantom [35]3 years ago
5 0

Answer:

y=1/8(-x^2+4x+44

Step-by-step explanation:

In this question the given focus is (2,4) and a directrix of y = 8 and we have to derive the equation of the parabola.

Let (x,y) is a point on the given parabola.Then the distance between the point (x,y) to (2,4) and the distance from (x,y) to diractrix will be same.

Distance between (x,y) and (2,4)

= √(x-2)²+(y-4)²

And the distance between (x,y) and directrix y=8

= (y-8)

Now √(x-2)²+(y-4)² = (y-8)

(x-2)²+(y-4)² = (y-8)²

x²+4-4x+y²+16-8y = y²+64-16y

x²+20+y²-4x-8y = y²-16y+64

x²+20-4x-8y+16y-64=0

x²+8y-4x-44 = 0

8y = -x²+4x+44

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nalin [4]

Answer:

1kg : 4kg

Step-by-step explanation:

You need to simplify the current equation

5 : 20

Divide both sides by 5

5/5 : 20/5

1 : 4

1kg : 4kg

Hope this helps!

Plz name brainliest if possible!

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2 years ago
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2 years ago
Muhammad owns 8 fewer swim suits than Charlie. Let k represent the number of Charlie's swim suits. Identify the expression that
andre [41]

Answer:

Number of Muhammad's swim suits = k - 8

Step-by-step explanation:

Given:

Number of Charlie's swim suits = K

Number of Muhammad's swim suits = 8 less than Charlie

Find:

Expression [Number of Muhammad's swim suits]

Computation:

Number of Muhammad's swim suits = 8 less than Charlie

Number of Muhammad's swim suits = k - 8

6 0
2 years ago
Write the equation of the line that passes through the points (-4,8) and (-2, -1).
IRINA_888 [86]

Answer:

y=-9/2x-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

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y-8=-9/2(x+4)

y=-9/2x-36/2+8

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What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.
GuDViN [60]
Wheres the diagram or else the q cant be done


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3 years ago
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