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3 years ago

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A circle cuts the x-axis at (4,0) and (14,0), and cuts the y-axis at (0,6) and (0,8). Find it's equation

1 answer:

gayaneshka [121]3 years ago

5 0

It is not a circle but you can find the equation of the ellipse.
To do this we need to work out the major and minor radii and the centre
The centre is at (9, 7)
The major (y) radius is 1 and the minor (x) radius is 5
Therefore the equation is (x-9)/5 + (y-7)/1 = 1

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Consider the equation below.

Korvikt [17]

Answer:

Equation in square form:

$y=3(x+5)^2-4$

Extreme value:

$(h,k)=(-5,-4)$

Step-by-step explanation:

We are given

$y=3x^2+30x+71$

we can complete square

$y=3(x^2+10x)+71$

we can use formula

$a^2+2ab+b^2=(a+b)^2$

$y=3(x^2+2\times x\times 5)+71$

now, we can add and subtract 5^2

$y=3(x^2+2\times x\times 5+5^2-5^2)+71$

$y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71$

$y=3(x+5)^2-75+71$

So, we get equation as

$y=3(x+5)^2-4$

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

$y=a(x-h)^2+k$

where

vertex=(h,k)

now, we can compare and find h and k

$y=3(x+5)^2-4$

we get

h=-5

k=-4

so, extreme value of this equation is

$(h,k)=(-5,-4)$

6 0

3 years ago

Read 2 more answers

17 + 3f = 14 what is f

photoshop1234 [79]

So first, here, subtract 17 from both sides.

17 + 3f = 14

- 17 -17

3f = -3

Then divide both sides by 3

f = -1

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3 years ago

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Solve for s.<br> 4 = 2s<br> answer?

nirvana33 [79]

Answer:

The answer is 2

Step-by-step explanation:

4=2s

Divide both sides by 2

4/2=2

s=2

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3 years ago

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Help pLLEAAASSEE LOLOLOL

guajiro [1.7K]

Answer:

the answer is c, hope this helps

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2 years ago

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Marianna [84]

Answer:

A.

Step-by-step explanation:

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