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harkovskaia [24]
3 years ago
9

What is the equation of the circle with center (4, 4) that passes through the point (10, 14)?

Mathematics
2 answers:
zhuklara [117]3 years ago
7 0

Answer:

The answer to your question is      (x - 4)² + (y - 4)² = 136

Step-by-step explanation:

Data

C (4, 4)

P (10, 14)

Process

1.- Calculate the distance from the center to the point

dCP = \sqrt{(10 - 4)^{2} + (14 - 4)^{2}}

dCP = \sqrt{6^{2} + 10^{2}}

dCP = \sqrt{36 + 100}

dCP = \sqrt{136}

2.- Calculate the equation of the circle

     ( x - 4)² + (y - 4)² = (\sqrt{136})²

     (x - 4)² + (y - 4)² = 136

Anna11 [10]3 years ago
3 0

Answer:

(x - 4)² + (y - 4)² = 136 is the answer.

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Please help me I need this answer to pass high school, math is so difficult man, giving brainliest
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Answer:

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3 years ago
Alex scored 98,72, and 87 on his first three math test. What must he score on the next test to have an average of at least 86 (P
ss7ja [257]

Answer:

\huge\boxed{\text{At least an } 87\%}

Step-by-step explanation:

In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.

\displaystyle \frac{x_1+x_2+...x_n}{n}

What the formula means is that we have to add up all the values then divide by the total number of values.

Let's represent our unknown number as x.

\displaystyle \frac{98+72+87+x}{4} \geq 86 (since we want AT LEAST an 86).

Let's solve this inequality for x.

  • \frac{98+72+87+x}{4} \cdot 4 \geq 86 \cdot 4
  • 98+72+87+x \geq 344
  • 257 + x \geq 344
  • 257 + x  - 257 \geq 344 - 257
  • x \geq 87

So, Alex must score at least an 87% on his next quiz to have an average of 86%.

Hope this helped!

8 0
3 years ago
I NEED DESPERATE HELP BADDIES VAWYCVYAGVFYGQEVEF
gtnhenbr [62]

Answer:

BCD is the outer angle of triangle ABC

=> BCD = ABC + BAC

<=> 150⁰ = ABC + 118⁰

=> ABC = 150⁰ - 118⁰

<=> ABC = 32⁰

5 0
3 years ago
Read 2 more answers
The cost for 15 cases of oranges is $75. What is the cost for 1 case? *
postnew [5]

Answer:Ok I This question can be solved using a system of equation, which requires translating the above word problem into something that can be algebraically

Let O=oranges and  Let G=Grapefruit

5O +8G=235

3O + 2G=85

To solve, you must isolate one of the variables and then work from there. To do that multiply both sides of the bottom or second equation by four and then subtract the bottom equation from the top.

Which would look like this

5O +8G=235

12O + 8G= 340

Then subtract the bottom from the top to get this

-7O=-105

Solving for O we divide both sides by -7, and end up with O=15

Plugging that value back into one of our original equations to solve for G we get this

3(15) + 2G= 85

45 +2G=85

2G=40

G=20

So 1 case of each altogether would equal 15+20, or $35.

<h3>Hope this helps have a awesome night/day❤️✨</h3>

Step-by-step explanation:

4 0
3 years ago
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