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dimulka [17.4K]
2 years ago
13

Determine the equation of the circle graphed below.screenshot is below - from delta math

Mathematics
1 answer:
Elanso [62]2 years ago
5 0

Answer:

\displaystyle \large{(x-5)^2+(y-2)^2=25}

Step-by-step explanation:

Given:

  • Center = (5,2)
  • Endpoint = (8,6)

First, find radius via distance between center and endpoint. The formula of distance between two points is:

\displaystyle \large{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}

Determine:

  • \displaystyle \large{(x_1,y_1)=(5,2)}
  • \displaystyle \large{(x_2,y_2)=(8,6)}

Hence:

\displaystyle \large{\sqrt{(8-5)^2+(6-2)^2}}\\\displaystyle \large{\sqrt{(3)^2+(4)^2}}\\\displaystyle \large{\sqrt{9+16} = \sqrt{25} = 5}

Therefore, the radius is 5.

Then we can substitute center and radius in circle equation. The equation of a circle is:

\displaystyle \large{(x-h)^2+(y-k)^2=r^2}

Our center is at (h,k) which is (5,2) and radius beings 5.

Hence, your answer is:

\displaystyle \large{(x-5)^2+(y-2)^2=25}

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Can someone please help me answer this??
rewona [7]
<h3>Answer:  x = (y-2)^2 + 5</h3>

In other words, y-2 goes in the first box and 5 goes in the second box.

=================================================

Work Shown:

y^2 - 4y - x + 9 = 0

y^2 - 4y + 9  = x

x = y^2 - 4y + 9

x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5

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

x = (y-2)^2 + 5  .... apply the perfect square factoring rule

So we'll have y-2 go in the first box and 5 goes in the second box

note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.

4 0
3 years ago
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Which function is linear?
gulaghasi [49]

Answer:

4

Step-by-step explanation:

5-1=4

4 0
3 years ago
There are 568 apples in the kitchen ready to make apple pies, if 50% of them are green, how many are green?
malfutka [58]

Answer:

284 apples are green

Step-by-step explanation:

50 is half of one hundred so you divided 568 by 2

3 0
3 years ago
Estimate the quotient for 317÷42 a.3 b.6 c.7 d.8
lesya [120]
42×3=126
42×6=252
42×7=294
42×8=336

Nearest is Product of 7
So quotient should be 7
4 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Degger [83]

Answer:  b) 15.7

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

Look at the z-table (below) to find 0.2500  

Notice that the value is not on the table but is between 0.2486 and 0.2517 which are located on the z-table at 0.67 and 0.68

The given value is closer to 0.2486 so use 0.67 as the z-score.

Now, let's find the x-value using the formula: z=\dfrac{x-\mu}{\sigma}

-0.67=\dfrac{x-20}{6.4}\\\\\\\text{Multiply both sides by 6.4:}\\-4.288=x-20\\\\\\\text{Add 20 to both sides:}\\\large\boxed{15.712} = x

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3 years ago
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