Write the equation in standard form for the circle with center (-7,0) and radius 4 7

Answers

Answer 1

Answer:

x² + y² - 8x -14y - 105 = 0

Step-by-step explanation:

The centre of the circle is (-7,0) and the radius is (4,7) . Firstly let's find the radius using Distance formula .

=> D = √{ (-7-4)²+(0-7)²}

=> D = √ 11² + 7²

=> D = √ 121 +49

=> D = 170

Now using the standard equation of circle ⭕ ,

=> ( x - h)²+(y-k)² = r²

=> ( x - 4)²+(y-7)²= (√170)²

=> x² + 16 -8x + y² + 49 -14y = 170

=> x² + y² -8x -14y = 170 -65

=> + - 8x -14y - 105 = 0

Hence the equation of circle is x² + y² - 8x -14y - 105 = 0 .

Related Questions

4. 8.G.3.9
This cone and sphere have equal volumes.

What is the radius of the sphere?

Answers

Answer:

the radius of the sphere is 12 cm.

Step-by-step explanation:

IN A CONE

vertical height (h) = 27 cm

radius (r) = 32 / 2 = 16 cm

Now the volume of cone is

= 1/3 *h*π*r²

= 1/3 * 27 *π *16²

= 2304π cm³

Also by the question the cone and the sphere have equal volumes so

volume of sphere = volume of cone

                             = 2304 π cm³

OR, 4/3 πr³ = 2304 π

4/3 * r³ = 2304

r³ = 2304 * 3 / 4

r³ = 1728

r = ∛1728

r = 12 cm

hope it helps :)

1) Solve for Side A.

2) Solve for Angle B.

Best answer will receive Brainliest.

Answers

solution given;

let

AB=a

AC=b=30ft

AB=c=20ft

<A=115°

By using Cosine rule.

a²=b²+c²-2bc cos angle

a²=30²+20²-2*30*20 Cos 115°

a²=1807.1419

a=√[1807.1419]

a=42.51

Side A is 42.51ft.

Again

Cos B=[tex] \frac{a²+c²-b²}{2ac} [/tex]

Cos B=[tex] \frac{42.51²+20²-30²}{2*42.51*20} [/tex]

Cos B=0.7687

<B=Cos -¹(0.7687)

<B=39.46°

Angle B is 39.46°

39.46 I hope it helps

Write the following series in sigma notation.
5+13+21+29+37+45+53

Answers

Answer:

203

Step-by-step explanation:

Answer:

∑ᵢ⁷₌ ₁(7+8i)

Explanation:

In order to write a series in sigma notation you must:

Identify the index of summation and first value. In the equation, the index of summation would be i and the first value is assumed to be 1 due to the pattern that can be traced back. Identify the last value of n, which would be 7 in the series. This value is placed as a superscript next to or above the capital Greek letter ∑.Identify the formula for the terms. In thes case, the formula for the terms is (7+8i) because there are seven terms in the sequence that are increasing by 8. The variable i comes after because that is the letter used in the index of summation.

hello please help i’ll give brainliest

Answers

Answer:

Sea Travels

Step-by-step explanation:

Hope this helps

Answer:

Crossing a land bridge.

Step-by-step explanation:

We that what I think they would do.

Explain which properties you would use to fully expand (the problem in the screenshot)

Answers

Answer:

Firs property used : Quotient Property

           [tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]

   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]

Second property used : Product Property

          [tex]log_b(XY) = log_bX + log_b Y[/tex]

    [tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]

Third property used : Power Property

                 [tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]

 [tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]

Fully expanded form:

                   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]

           

What’s the point of intersection line 1 is 3x-2y=5 and Line 2 is x+2y=7

Answers

Answer:

(3,2)

Step-by-step explanation:

3x-2y=5

x+2y=7     Add them up

4x=12     Solve for x

x=3

3+2y=7   Plug it back into either one of the parent functions and solve for y

2y=4

y=2

(3,2) That's the point where the two lines intersect each other.

please help me!!!!lol

Answers

Answer:

a = 0, b = 7

a = 1, b = 6

a = 2, b = 5

a = 3, b = 4

a = 4, b = 3

a = 5, b = 2

a = 6, b = 1

a = 7, b = 0

Step-by-step explanation:

the sum of a and b must equal 7 because 4 x 7 = 28

Find x ba=5x -11
Ad = 6x -18

Answers

Answer:

x=7

Step-by-step explanation:

since its a square, all sides are the same so 5x-11 = 6x-18 and then solve it :)

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 20,40,80,...

Answers

Answer:

5100

Step-by-step explanation:

the geometric sequence is

f(n) = 20(2)^(n-1)

add up the first 8 to get

what is the volume of a sphere with a radius of 9.2cm, rounded to the nearest tenth of a cubic centimeter

Answers

Answer:

Step-by-step explanation:

Answer:1630.9 cm

v=4/3πr^3

radius =9.2

Plug in

4/3π(9.2)^3

3261.76066-

Volumenof hemisphere Half of volume of spehere

3261.76066698/2

=1630.9 cm^3

Laptop scan 182 megabytes of data in 7 seconds. How many megabytes does it download per seconds

Answers

Answer:

jdkkdksmsmsmsksksksksksmaMmamMamnz

Step-by-step explanation:

nnznznznznxnxnxnsnskakakakakakzznnznanananaan


A rectangle has a length of 5 inches and a
width of 3 inches. If a similar rectangle has
a width of 15 inches, what is its length

Answers

Answer:

It should be 25.

Step-by-step explanation:

one Triangle is 5 times the size of the other triangle

length of 5 x 5 = 25

width of 3 x 5 = 15

Find the values of x and y.

Answers

Answer:

y=60°

x=12°

Step-by-step explanation:

because the propertiy of parallelogram is the opposite side have equal measurement.

that is why y=60°

x+3=15 the paralla side are equal

x=15°-3°

x=12°

proof》》》》x+3=

12°+3°=15°

15°=15°

PLEASE HELP!!!
A weather forecaster predicts that there is a 50% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain on both days?

Answers

The answer would be 20%

Calculate the perimeter and the area of the figure use 3.14

Answers

Answer:

Step-by-step explanation:

13.

 P= 19.42mm

  A= 18.32mm²

Answer:

Half of 6 is 3(new radius)

2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42

2 + 2 + 2 = 6

6 - 2 = 4

Add lengths:

9.42 + 6 + 4 = 19.42 mm is your perimeter

2 x 2 = 4

3^3 = 9

9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13

Add areas:

4 + 14.13 = 18.13 mm2 is your area

x years after the year 2015 the population of the city of Fulton is given by the function of F(x)=35000(1.03)^x and the population of the city of breenville is given by the function g(x)=80000(0.95)^x ?

Answers

Answer:(2) (3) (4)

Step-by-step explanation:

A bakery bakes 2000 loaves in 5 hours . How many loaves will be baked in 12​

Answers

Answer:

4,800 loaves.

Step-by-step explanation:

Solve by utilizing ratios and cross-multiplication.

4,800 loaves will be baked in 12 hours.

Explanation:
Unjt rate is 400 loaves per hour (divide 2000 by 5)

Multiply 400 • 12= 4,800.

Have a nice day/night!

con ayuda de tu familia formula un
ejercicio de combinación simple puedes
utilizar tu computador a escribirlo en
tu cuaderno.
ayuda es para hoy doy coronita​

Answers

https://youtu.be/GZcm4mswivc

espero que te ayude

Flip a coin 4 times and calculate the experimental probability of the coin landing heads up. Flip a coin 4 more times to increase the total number of trials to 8. What is the experimental probability of the coin landing heads up?

Answers

Answer:

0.35 Not sure

Step-by-step explanation:

Answer:

3/4 and 5/8

Step-by-step explanation:

person 6-9 MathXL 8th grade question 2​

Answers

Answer:

<1 = 112degrees

<2 = 33degrees

Step-by-step explanation:

From the figure, the sum of interior angles of the larger triangle is equal to the exterior, hence;

<1 + 15 = 127

<1 = 127 - 15

<1 = 112degrees

For the smaller triangle;

<1 = <2 + 79

112 = <2 + 79

<2 = 112-79

<2 = 33

Hence the measure of <2 is 33degrees

call me an i.d.i.o.t all you want but can someone help me understand this please
NO LINKS OR PDF FILES THAT DONT WORK

Answers

So supplementary angles are ones that add up to 180degrees and complementary ones add up to 90degrees.

So for the left side, you find what angle is supplementary to the given one. For the angle of 35, another angle of 145 will add up to 180.

The right side want you to find the complementary angles, so for the angle of 18, another angle of 72 will add up to 90.

I always forget supplementary vs complementary, but a little bit of practice will help a lot.

2 x [(27–3) - (3+4)] = n
what’s (n)

Answers

Answer:

n = 34

Step-by-step explanation:

2{(24- ( 3 + 4)) =n

2{(24 - 7) =n

2 x 17 = n

34 = n

swap the sides

n = 34

Find the value of x pls I’ll give brainleist.

Answers

Answer:

x=15°

Step-by-step explanation:

We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.

(7x-10)+(6x-5)=180

7x-10+6x-5=180

13x-15=180

13x=195

x=15

Select all the expressions that are equivalent to 4 (3x+6y
A. 12x+6y
B. 12x+24y
C. 2 (6x+12y)
D. 4 (12x+24y)

Answers

Answer:

the answers are b and c

Step-by-step explanation:

b

[tex]12x + 24y = \\ 4(3x + y)[/tex]

c

[tex]2(6x + 12y) = \\ 12x + 24y = \\ 4(3x + 6y)[/tex]

Let's assume a typical New Zealand farmer raising sheep owns 250 hectares and averages about 10 livestock units per hectare. If each ewe earns the farmer $20/year, how much money does that farmer earn in one year?​

Answers

Answer:

$50,000

Step-by-step explanation:

We have an average of 10 livestock units per hectare

The number of units in 250 hectares will be;

250 * 10 = 2,500 units

Amount earned per unit is $20 per year

So, for 2,500 units, we have

2500 * $20 = $50,000

What color laundry basket do dirty towels and aprons go in?

A. Green
B. Yellow

Answers

Answer:

green because it sounds like garbage

Step-by-step explanation:

Answer:

the one u want to put em in?

Step-by-step explanation:

1. Express 36 minutes as a fraction of an hour: 36 minutes hour​

Answers

Answer:

0.600

Step-by-step explanation:

36minutes/60 minutes

1. Find the surface area of the Rectangular Prism. 12 cm 28 cm 22 cm

Answers

Answer:

The awnser is 2432

Step-by-step explanation:

12x28x22= 2432

hey whats the answer to this ? will mark brainliest if correct

Answers

Answer:

C. 128°

Step-by-step explanation:

Here,

<BAC + <BAE = 180° [Since supplementary angles]

=> 52° + <BAE = 180°

=> <BAE = 180° -52°

=> <BAE = 128° (Ans)

Please help me with my work

Answers

Answer:

Step-by-step explanation:

This is just simple addition so there really isn't anything to talk about.

Just note that -5 1/2+6 3/4=1 1/4.

Then, we do 1 1/4+(-4 1/4)

This is just -3.

First you can add the whole numbers 6-5-4 i belive that says and then add the freactions by making the denominator the same for each so instead of 1/2 it would be 2/4 and then add the fractions and add the answer to the whole numbers. It should be -3!!!
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