HELP DUE IN 15 MINS!

The center of a circle is (3, 2) and a point on the circle is (5, -2). Find the radius and write the equation for the circle.

Answers

Answer 1

Answer:

r = [tex]2\sqrt{5}[/tex]

[tex](x - 3)^{2} + ( y - 2)^{2} = 20[/tex]

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

[tex]r^{2}[/tex] = [tex]{(3 - 5)^{2} + (2 + 2)^{2} }[/tex]

    =  [tex](-2)^{2} + 4^{2}[/tex]

    =  4 + 16 = 20

r = [tex]\sqrt{20 } = 2\sqrt{5}[/tex]

Equation of circle:   [tex](x - 3)^{2} + ( y - 2)^{2} = 20[/tex]

Answer 2

Answer:

Radius: [tex]2\sqrt{5}[/tex]

Equation of circle: [tex](x-3)^2+(y-2)^2=20[/tex]

Step-by-step explanation:

The radius of a circle is equal to the distance between the center of the circle and any point on the circle. Therefore, we have:

[tex]r=\sqrt{(5-3)^2+(2-(-2))^2},\\r=\sqrt{2^2+4^2},\\r=\sqrt{20}=\boxed{2\sqrt{5}}[/tex]

The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex].

What we know:

radius of [tex]2\sqrt{5}[/tex] center at [tex](3, 2)[/tex]

Substituting known values, we get:

[tex](x-3)^2+(y-3)^2=(2\sqrt{5})^2,\\\boxed{(x-3)^2+(y-2)^2=20}[/tex]


Related Questions

Help!! A. 2,2 B. 4,1 C. 1,-1 D. -1,0

Answers

It is a 2,2 it’s not b

Honon spent 3 1/4 hours on homework while Sequoia spent 2 5/6 hours on homework. How much more time did Honon spend on homework than Sequoia

Answers

Answer:

5/12 hours

Step-by-step explanation:

Honon = 3 1/4 hours

Sequoia = 2 5/6 hours

How much more time did Honon spend on homework than Sequoia

= number of hours Honon spent - number of hours Sequoia spent

= 3 1/4 hours - 2 5/6 hours

= 13/4 - 17/6

= (39-34) /12

= 5/12 hours

Jane has 27 cats , max has 6, Jasmine has 98 how many altogether?​

Answers

Hello~

All you have too do is add!

27+6+98=

Simplify

27+6=33

Add again

33+98= 131

So its 131!

Ary~

The answer is 131.
27+6=33
33+98=131
How this helps.

PLS HELPP GUYS !!!! in a hurry !!!!!!!

Answers

Answer:

A because it uses all of domains

Step-by-step explanation:

Three game tickets and four ride tickets cost $39. Five ride tickets cost $15. All game tickets cost the same and all ride tickets cost the same. What is the ratio of the cost of a game ticket to the cost of a ride ticket?

Answers

Answer: 3:1

Step-by-step explanation:

Let the cost of a game ticket be g.

Let the cost of a ride ticket be r.

The information given can be formed into an equation which will be:

3g + 4r = 39

Since Five ride tickets cost $15, the cost of each ride ticket will be:

= $15/5

= $3.

Therefore, 3g + 4r = 39

We put the value of r = $3 into the equation

3g + 4(3) = 39

3g + 12 = 39

3g = 39 - 12

3g = 27

g = 27/3

g = 9

The cost of a game ticket is $9

The ratio of the cost of a game ticket to the cost of a ride ticket will be:

= 9/3

= 3/1

= 3:1

The ratio is 3:1

Simplify.
(-x²+2x-3)+(7x²+6x+5)

Answers

-x² + 2x - 3 + 7x² + 6x + 5
= 6x ² + 8x +2

Answer:

6x² + 8x + 2

Step-by-step explanation:

(-x² + 2x - 3) + (7x² + 6x + 5 ) = ?

-x² + 2x - 3 + 7x² + 6x + 5 = ?

-x² + 7x² + 2x + 6x - 3 + 5 = ?

? = 6x² + 8x +2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

PLEASEEE HELPPP its due in 10 mins PLSSS

Answers

Answer:

About 525 times.

Step-by-step explanation:

You have a 5 in 8 chance of getting a consonant originally. You should try to find an equal ratio except with 840 as the second number. As of now it's      5/8 = ?/840

8 is a factor of 840 and if you divide 840 by 8 you get 105. If you actually think about it 105/840 would be an equal ratio to 1/8 so you multiply 108 by 5 to get 525.

Find x and round it to the nearest tenth is necessary, help please and thank you so much

Answers

Answer:

111

Step-by-step explanation:

360 - 65 - 106 - 78 = 111

Lillyana deposits $1000 in a savings account at a 2.6% interest rate. If she does not touch the money (makes no
deposits or withdrawls) for 5 years, how much money will be in the account in 5 years?

Answers

Answer:

1130

Step-by-step explanation: hope this helps <3

Jackson recorded the growth of a plant over 10 weeks. The equation y=0.25x+4 represents the height in inches over the time in weeks. How tall will the plant be after 5 weeks? How tall will it be after 12 weeks? (PLEASE HELP)​

Answers

Answer:

5.25 inches after 5 wks

7 inches after 12 wks

Step-by-step explanation:

after 5 weeks:  y = .25(5) + 4 which is 5.25 inches

after 12 weeks:  y = .25(12) + 4 which is 7 inches

A jug contains 1560 no of Apple juice in it. How many will each child get if 12 children share juice equally?​

Answers

Answer:

130

Step-by-step explanation:

total apple juice= 1560

if 12 children share juice equally

they get

=1560/12

= 130

find the area of ABCD
trapezoid ABCD ~ trapezoid EFGH
trapezoid ABCD: 20cm
trapezoid EFGH: 5cm

area of EFGH = 40 sq cm

Answers

Answer:

640 cm²

Step-by-step explanation:

The ratio of the area of 2 similar polygons = the ratio of the square of their corresponding lengths

Thus:

Area of Trapezoid ABCD to Area of Trapezoid EFGH = AB² to EF²

Area of Trapezoid ABCD = ? = x

Area of Trapezoid EFGH = 40 cm²

AB = 20 cm

EF = 5 cm

Substitute

x:40 = 20²:5²

x/40 = 400/25

x/40 = 16

Cross multiply

x = 16*40

x = 640

Area of trapezoid ABCD = 640 cm²

HELP PLZZ HURRY IMA GET A ZERO

Answers

Answer:

m∠G= 180° - ( 59+77 )°

Step-by-step explanation:

Complete the table below.

Answers

Answer:

4 , 2, 8, 4 ..............

PLEASE HELP ME WITH THIS QUESRTION I KEEP GETTING THIS WRONG

angle t = ___?

Answers

Answer:

[tex]141^{\circ}[/tex]

Step-by-step explanation:

The quadrilateral in the image is a cyclic quadrilateral, because it is circumscribed by a circle. In all cyclic quadrilaterals, each pair of opposite sides are supplementary (add up to 180 degrees). Therefore, we have the following equation:

[tex]m\angle T+39=180,\\m\angle T=\boxed{141^{\circ}}[/tex]

Simplify the expression

Answers

hope this helps! feel free to clarify if unsure

2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24​

Answers



2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24

Answer: a=-12

T increased by 55 pls help no links or anything

Answers

Answer:

T increased by 55 =t+55

FIND THE SURFACE AREA OF THE FIGURE BELOW, PLEASE HELP AND SHOW WORK

Answers

Answer:

247.21

Step-by-step explanation:

equation for height :  c= a2 + b2

4.82 + 9.32

≈10.46566

equation for surface area: A=5 /4tan(54°)a2+5a /2h2+(atan(54°) /2)2

5 /4·tan(54°)·72+5·7 /2·7.972+(7·tan(54°) /2)2

≈247.21018

round to nearest hundredth: 247.21

5. Subtract using the zero principle.
b) (2y- * - 3y) - (-2x + y)​

Answers

Answer:

4x + 2y

Step-by-step explanation:

( 2x - - 3y ) - ( - 2x + y )

→ Simplify

2x + 3y + 2x - y

→ Collect x and y terms

4x + 2y

This beach ball has a surface area of 379.94 inches². What is its diameter? Use 3.14 for π.

Answers

Answer:

11 inches

Step-by-step explanation:

We know that [tex]SA=4\pi r^2[/tex]. We know that [tex]SA=379.94[/tex] and that [tex]\pi\approx3.14[/tex]. We solve for [tex]r[/tex]: [tex]379.97=4\times3.14\times r^2[/tex]

[tex]r^2=30.25[/tex]

[tex]r=5.5[/tex]

Since [tex]d=2r[/tex], the diameter of the sphere is 11 inches.

(11.5) - (-11.5)
Jamal says he thinks the answer is 23. His friend, Reggie, claims the
answer will be 0.
Do you agree with either of them?
explain as long as you can

Answers

Answer:

Jamal is correct.

Step-by-step explanation:

(11.5) − (−11.5)

=11.5 − (−11.5)

=11.5 + 11.5

=23

I agree with Jamal because Reggie was doing subtract a positive by a positive but the question is a positive minus a negative, by doing absolute value you can see they both have the same value just inverse so in this case the answer would be a positive

guys i think i might have a pis.skink

Answers

Answer:

Is this true or uhhhh id,k tbh

Thanks for the free point.s anyways

The volume of Cylinder A is 189 ft and the
volume of Cylinder B is 56 ft. If the cylinders are
similar, what is the ratio of surface area of
Cylinder A to the surface area of Cylinder B?
Please don’t put in a link

Answers

Answer:

27:8

Step-by-step explanation:

189/56 = 27/8

SOMEONE PLEASE HELP ME

1. Simplify the expression
(b^6)^9

2. Rewrite as a base to a power, if possible

7^9/7^2

Answers

Answer:

1) b⁵⁴

2) 7⁷

Step-by-step explanation:

When you have an exponent raised to an exponent, like in #1, you simply multiply the exponents.

When you are dividing two numbers with exponents and they have the same base, like in #2, you subtract the denominator exponent from the numerator exponent.

………………………………………………….

Answers

Answer:

Tan(Ф) = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Tan(Ф) = [tex]\frac{opposite}{adjacent}[/tex]

Tan(Ф) = [tex]\frac{12}{5}[/tex]

Hope this helps!

BRAINLIST QUESTION
what is the value of x?​

Answers

Answer:

9

Step-by-step explanation:

Answer:

6x+16+20=90

6x+36=180

6x=180-36

6x=144

x=144/6

x=26°

The perimeter of a right -angled triangle is 72 cm . Its side are in the ratio 3 : 4: 5.Work out the longest length of the triangle.​

Answers

Answer:

The longest length is 30 cm

Step-by-step explanation:

Mathematically, the perimeter of a triangle is simply the sum of the lengths of its three sides

So, what we have to do here is divide the perimeter in the given ratio to get the side lengths

since 5 is the biggest of the numbers in the ratio, it represents the largest length value

so we have this as;

(3 + 4 + 5) = 12

So that would be;

5/12 * 72

= 5 * 6 = 30

pls help! brainliest and thanks! :)

Answers

Step-by-step explanation:

these angles will add to 90 deg

90 = 22 + 2x

solve for x

Answer:

x = 34°

2x = 68°

Step-by-step explanation:

Both angles are complementary (add up to the sum of 90°), so we can say;

22 + 2x = 90°

2x = 90 - 22

2x = 68

x = 68 / 2

x = 34°

Furthermore:

If you have to find the value of 2x it would be 68, since

2x = 2(34) = 68°

Hope this helps!

Evaluate the radical.

3√512

Enter your answer in the box.

Answers

Answer:

The Answer is 8.

Its the only Number that Multiplies itself three times to give 512.

So the Cube root of 512... Should be 8.

Answer:

8.

Step-by-step explanation:

512 = 64* 8

∛512 = ∛64 * ∛8

= 4 * 2

= 8.

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