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Radda [10]
2 years ago
12

What is the standard form of this equation of a circle?

Mathematics
2 answers:
Olenka [21]2 years ago
5 0
<span>x² + y² + 14x − 4y − 28 = 0

x² +14x +y² - 4y =28
x²+2*7x  +7² -7²  + y² - 2*2y +2² - 2² = 28
(x+7)² + (y-2)² -7²-2² =28
</span>(x+7)² + (y-2)²=28+49+4

(x+7)² + (y-2)² =81 is the answer.
Marina CMI [18]2 years ago
5 0

(x2 + 14x + 49) + (y2 − 4y + 4) − 28 = 49 + 4

(x + 7)2 + (y − 2)2 − 28 = 49 + 4

(x + 7)2 + (y − 2)2 = 49 + 4 + 28 = 81.

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*PLEASE HELP ME* (math attachment) IT'S PAST MIDNIGHT I'M TIRED AND DESPERATE
Luda [366]
<h3><u>Answer:</u></h3>

D

<h3><u>Step-by-step explanation:</u></h3>

let's rewrite this

x + y = 11                  <em>- equation 1</em>

   - x = - y - 9           <em>- equation 2</em>

solve the first equation for x

x + y = 11            (add -y to both sides to get x by itself)

     x = -y + 11          <em> - equation 3</em>

now substitute -y + 11 for x in the second equation

 y - 11 = - y - 9        (2 negative signs next to each other equals positive)

2y - 11 = -9              (add y to both sides)

      2y = 2               (add 11 to both sides)

        y = 1                (divide both sides by 2)

now substitute y = 1 into equation 3

x = -1 + 11

x = 10

therefore, x = 10 and y = 1. in coordinates, x goes before y

therefore, the coordinates are (10, 1)

therefore the answer is D

good luck my friend! hope this helped a lot! also, i found a website if you don't fully understand this, its called MathPapa, i didn't use it to work this out so my working might be different but it definitely helps me sometimes. for an equation like this, type it likes this: x+y=11; -x=-y-9

-cheesetoasty

3 0
3 years ago
Read 2 more answers
Differentiate the function. f(x) = ln(25 sin^2(x))
tigry1 [53]
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Let u = 25sin²(x), such that dy/dx = dy/du · du/dx

\frac{dy}{dx} = \frac{1}{25sin^{2}(x)} \cdot 50cos(x) \cdot sin(x)
\frac{dy}{dx} = \frac{2cos(x) sin(x)}{sin^{2}(x)}

\frac{dy}{dx} = 2cot(x)
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3 years ago
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algol [13]

Answer: Option A is the correct answer, y = x + 2

y - 3 = x-1

Step-by-step explanation:

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Leno4ka [110]

Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original

C'D' = 6 and CD = 3 then

scale factor = \frac{6}{3} = 2

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