WILL GIVE BRAINLIEST! Find an equation of the circle and sketch it if it has: Tangent to y-axis, r=5, contains (10, 7)

Answers

Answer 1
Answer:  (x-5)^2 + (y-7)^2 = 25

Center = (5,7)

Radius = 5

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

Explanation:

The circle must be tangent to the y axis, and it has a radius of 5, so that means the center (h,k) must either be on the line x = 5 or x = -5, since those vertical lines are exactly five units away from the y axis.

But we're also told that (10,7) must be on the circle. That rules out x = -5 because the distance from (10,7) to (-5,k) is going to be larger than 5. I recommend drawing out a right triangle to see why this is the case.

So the center (h,k) must be on the line x = 5.

The center is the point (h,k) = (5,k)

Plug that h value along with (x,y) = (10,7) and r = 5 into the equation below

Solve for k.

(x-h)^2 + (y-k)^2 = r^2

(x-5)^2 + (y-k)^2 = 5^2 .... plug in h = 5 and r = 5

(10-5)^2 + (7-k)^2 = 25 ... plug in x = 10 and y = 7

25 + (7-k)^2 = 25

(7-k)^2 = 25-25

(7-k)^2 = 0

7-k = sqrt(0)

7-k = 0

-k = 0-7

-k = -7

k = 7

The center is (h,k) = (5,7)

We have (x-h)^2 + (y-k)^2 = r^2 updating to (x-5)^2 + (y-7)^2 = 25

Answer 2

The equation of the circle is   (x-5)^2 + (y-7)^2 is25 .  The center of the circle is Center is (5,7) .Radius of the circle  is  5

What is equation of the circle?

Circle's basic equation is represented by:

(x-h)2 + (y-k)2 = r2

where the radius is r and the circle's center's coordinates are (h,k).

Let's first consider what a circle is before determining its equation. A circle is a collection of all points in a plane that are uniformly distanced from a fixed point. The fixed point is referred to as the circle's center. The radius of a circle is the separation between the center and any point along its circumference. In this article, we'll explain what a circle's equation looks like in standard form and show you how to calculate a circle's equation when its center is both the origin and another point.

The center (h,k) of the circle, which must be tangent to the y axis and have a radius of 5, must either be on the line x = 5 or x = -5 since both vertical lines are both located exactly five units from the y axis.

The need that (10,7) be on the circle is also stated, though. That eliminates the possibility of x = -5 because the distance from (10,7) to (-5,k) will be more than 5. To understand why this is the case, I advise you to sketch a right triangle.

Therefore, the line x = 5 must contain the center (h,k).

The point (h,k) = is the center (5,k)

Given ,

In the equation below, enter that h value along with (x,y) = (10,7) and r = 5.

Calculate k using the formula.

(x-h)^2 + (y-k)^2 = r^2

(x-5)^2 + (y-k)^2 = 5^2 add a h = 5 and r = 5 plug.

(10-5)^2 + (7-k)^2 = 25  Input x = 10 and y = 7

25 + (7-k)^2 = 25

(7-k)^2 = 25-25

(7-k)^2 = 0

7-k = sqrt (0)

7-k = 0

-k = 0-7

-k = -7

k = 7

(h,k) = is the center (5,7)

Updated to (x-5) + (y-7) = 25, we have (x-h) + (y-k) = r2.

Therefore The equation of the circle is   (x-5)^2 + (y-7)^2 is25

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Related Questions

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2x · 4y - 10

a. 12
b. 10
c. 20
d. 6

Answers

Answer

the answer is C. 20 :)

Step-by-step explanation:

hope it helps!

Nine students were absent on the first day of a painting class and 12 students on the second day of the class. If p is the percent increase in the number of students who were absent, which proportion can be used to calculate p?

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ITS A

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

I'm pretty sure its 11 and 14

Step-by-step explanation:

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Why do candidates want to win states
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Answers

They are swing states with a large amount of electoral votes

what is the answer for this question?​

Answers

Answer:

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Step-by-step explanation:

Hope this helps

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Answers

Answer:

0.55/8.92×100

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Answers

Answer:

[tex]a_{n}[/tex] = 3[tex](2)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2

This indicates the sequence is geometric with n th term

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = 2 , thus

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A farmer stores bags of seed in 4 rows. There are 4 bags
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Answers

Answer:

16 bags in all

Step-by-step explanation:

4x4=16

Answer:16

Step-by-step explanation:

4*4 or 16/4 = 16

Please help! Will give brailiest!

Answers

B is the answer becuase the slope is -1/4 and the b is +3
The answer is D. Below I have attached my work. Hope this helps!!

Points A, B, and C are collinear. Point B is between A and C. Solve for x
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Answers

Answer:

x=4

Step-by-step explanation:

You set the equation up like this

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Answers

Recursive. n is the number of the term in the sequence, so Un-1 is the term previous to Un and since you’re subtracting 3 from the previous term, that means it’s recursive

Answer:

Recursive.

Step by step explanation:

N is the number of the term in the sequence, so Un-1 is the term previous to Un and since you’re subtracting 3 from the previous term, that means it’s recursive

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Group of answer choices

Answers

Answer:

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Step-by-step explanation:

8505 is the amount of words raguel can type in 135 minutes. 9855 is the amount Rick can type in 135 min. 9855-8505=1350 which is the answer

D 145
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Answers

Answer:

C

Step-by-step explanation:

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1. Armando started a new job as a mechanical engineer for a coal plant with an
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Answers

Answer:

224,000

Step-by-step explanation:

annually she earns 200,000and a raise of 24,000 each year hence the sum of the two will get you an asnwer

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Answers

Answer:

The product of b and c is positive.

Step-by-step explanation:

b is negative as its less than 0

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Answer:

The product of b and c is positive.

Step-by-step explanation:

had this question

The ratio of boys to girls at a school is 12 to 13. If 300 students attend the school, how many are boys?
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Answers

Answer:

144

Step-by-step explanation:

300 divided by 13

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

-4 (-2/8)

Step-by-step explanation:

1-5=(-4)

3-5=(-2)

hope this helps :3

Answer:

3/4

Step-by-step explanation:

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Answers

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Answers

Answer: 47

Step-by-step explanation:

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f(3)=11

Step-by-step explanation:

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GU
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3
4 5
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Answers

The compound inequality represented by the graph is -3 ≤ x < 1

From the graph, we have the following highlights

The line number starts from -3 and ends at 1The dot at 3 is closed, while the dot at 1 is opened

The above means that:

-3 is included in the inequality values, while 1 is not.  

Hence, the compound inequality represented by the graph is -3 ≤ x < 1

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Lee combines 7.63 ounces of strawberries with 5.26 ounces of blueberries to make a fruit bowls. He pours the fruit equally into 2 bowls, and has 1.37 ounces of fruit left over. How many ounces of fruit are in each bowl?

Answers

Answer:

7.63 ounces of strawberries + 5.26 ounces of blueberries

7.63 + 5.26= 12.89 - 1.37 left over = 11.52 to be split between 2 bowls equally

11.52/2 = 5.76 per bowl

5.76 ounces of fruit in each bowl.

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given,

strawberries = 7.63 ounces

blueberries = 5.26 ounces

Put the fruits into two equal bowls in equal amounts

let the amount be x

remaining amount = 1.37 ounces

According to the statements, we can state that,

2x + 1.37 = 7.63 + 5.26

2x = 11.52

x = 5.76

Therefore, the two bowl contains 5.76 ounces of fruit each.

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What is the vertex of the graph of the function f(x) = x2 + 6x + 9?
0 A. (-3,0)
B. (0, -3)
C. (0, 3)
O D. (3, 0)

Answers

A
Pls mark brainliest

The vertex of the given quadratic function is (-3, 0).

What is vertex form of a quadratic equation?

The vertex form of a quadratic equation or function is [tex]f(x)=a(x-h)^{2} +k[/tex].

Where,

(h, k ) is the vertex

And, a is constant.

According to the given question

We have a quadratic function

[tex]f(x) = x^{2} + 6x + 9[/tex]

The above function can be written as  

[tex]f(x) = x^{2} +2(3x) +9[/tex]

⇒[tex]f(x) = x^{2} + 2(3x) + (3^{2}) -(3)^{2} + 9[/tex]

⇒[tex]f(x) = (x+3)^{2} -9+9[/tex]

⇒[tex]f(x) = (x+3)^{2} + 0[/tex]

Comparing the above equation with the standard  vertex form of quadratic function we get

h = -3 and k = 0

Hence, the vertex of the given quadratic function is (-3, 0).

Thus, option A is correct.

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Caroline walks 912 inches per second. As unit rate

Answers

Answer:

specify please

Step-by-step explanation:

Answer:

I have been trying to get this answer for the longest

Step-by-step explanation:

         

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Answers

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PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

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0 is 14, 1 is 12.25, 2 is 10.50, and 3 is 8.75

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Answers

Answer:

y=5

Step-by-step explanation:

y equals 5 because x is 1 when you get it alone

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The angle x would be 50 degrees because that straight line is 180° so if you subtract 65 two times from 180 you would get 50 because on the other side of angle X that is also a 65° angle
the answer is x= 50.
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