Center is (2,-2) another point on the circle is (-4,6) An equation of the circle in standard form is what?

Answers

Answer 1

Answer:

(x - 2)^2 + (y + 2)^2 = 100

Step-by-step explanation:

We know that the equation for a circle with a center in the point (a, b) and a radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we know that the center of the circle is the point (2, - 2) and that the point (-4, 6) lies on the circle.

Then the radius of this circle will be the distance between (2, - 2) and  (-4, 6)

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Then the distance between (2, - 2) and  (-4, 6) is:

[tex]D = \sqrt{(2 - (-4))^2 + (-2 - 6)^2} = \sqrt{6^2 + (-8)^2} = \sqrt{100} = 10[/tex]

Then the radius of the circle is R = 10

and we know that the center is (2, -2)

the equation for this circle is then:

(x - 2)^2 + (y - (-2))^2 = 10^2

(x - 2)^2 + (y + 2)^2 = 100


Related Questions

Using the quadratic formula to solve x = 5-x, what are the values of x?

Answers

The answer is the first one A

solve for x, show work please!! 20 points.

Answers

Option B: (10)

Step-by-step explanation:

Here,

13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]

=> 13x - 11x = 15 + 5

=> 2x = 20

[tex] = > x = \frac{20}{2} [/tex]

=> x = 10 (Ans)

The answer would be B

-0,05.[tex]\sqrt{28800}[/tex]

Answers

Answer:

-8.4855

Step-by-step explanation:

[tex]-0,05 \ \cdot \ \sqrt{28800}\\\\ = -0.05 \ \cdot \ 169.71\\\\= -8.4855[/tex]

The answer is -8.4555

Kira looked though online census information to determine the average number of people living in the homes in her city

Answers

First we need to identify if the data is qualitative or quantitative.

The data is average number of people living in the homes.

Qualitative data as its name indicates is an attribute or characteristic. It can not be measured e.g color. Quantitative data is such a data which can be counted or measured.

Since the average number of people can be counted and measured, the data is Quantitative.

In an observational study the individuals are observed. In the given case, Kira did not observed the individuals to gather the data, rather she used an Online resource to gather the data.

Therefore, the correct answer will be:

Kira used published data that is quantitative.

Source: i found it in another brainly question which was the same as your question and was expert verified so i hope this helped

Find the volume of the composite figure

Answers

Answer:

540m^3

Step-by-step explanation:

find volume of top + volume of bottom

bottom: l*w*h = 16*5*4 =300 m^3

top = area of side times width = area of triangle times width

area of triangle is 1/2*b*h = (6*16)/2 = 48 m^2

multiply by width = 48*5=240m^3

add top and bottom = 300+240=540m^3

-5,2 translated 2 two units left and one unit up

Answers

Answer:

(-7, 3)

Step-by-step explanation:

You already said the point of C is (-5, 2)

Now all we simply do is change the values of each X and Y value respectively.

When moving to the left, the value is subtracted for X.

When moving up the value is added to Y.

-5-2 = -7

2+1 = 3

Answer:

It is going to be -7;3 as I can see on the picture you sent the answer is the first option.

Find the x-intercept of the rational function.

Answer choices:

A.) (0,-2)
B.) (-2,0)
C.) (0,5)
D.) (5,0)

Answers

U can see graph below the x intercepts on (0,-2)

So think the answer should be :
A) (0,-2)

The valuesStartRoot 10 EndRoot and StartRoot 15 EndRoot are plotted on the number line.

Answers

I believe the answer is 15 but trying to pass

The box plots show the basketball scores for two teams.

Answers

It’s c trust me I’m a goat at basketball

Answer:

C

Step-by-step explanation: A.P.E.X

Which equation has the same solution as x2 + 16x + 13 = 0?

Answers

(x+4)^2=21

Hope this helps ;)

find the area of a semicircle whose radius is 2.4 cm

Answers

Answer:

[tex] 9.0432 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of semicircle

[tex] = \frac{1}{2} \pi \: {r}^{2} \\ \\ = \frac{1}{2} \times 3.14 \times {(2.4)}^{2} \\ \\ = \frac{1}{2} \times 3.14 \times 5.76 \\ \\ = \frac{1}{2} \times 18.0864 \\ \\ = 9.0432 \: {cm}^{2} [/tex]

Answer:

Area of semi circle = 9.05 square cm

Step-by-step explanation:

[tex]Area \ of \ circle = \pi r^2\\\\Area \ of \ semi - circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \pi (2.4)^2 = 9.047 = 9.05 \ cm^2[/tex]

A number is multiplied by 2, and then 5 is subtracted. The result is 43.

Answers

Answer: The answer is 7.

30 points What's the area below

Answers

Answer:

213

Step-by-step explanation:

(12×11)+(5×6)+(7×6)+(3×3)=132+30+42+9

=213

Answer:

Step-by-step explanation:

Ggg

Can units subtract themselves in mathematics? Example is cm²-cm =cm? / m³-m =m²?​

Answers

Answer:

No, they cannot be added or subtracted.

Step-by-step explanation:

According to the homogenity of units and dimensions, the quantities of the same units and dimensions are added or subtracted only.

So, the quantities of different units and dimensions can not be added or sutracted.

So,

[tex]cm^2 - cm = notdetremined[/tex]

Select the correct answer.
Convert (6,150°) to rectangular form.

Answers

Answer:

A

Step-by-step explanation:

basta letter A sagot dyan

Which expression represents this word phrase? eight less than the quotient of x and 3

A: х/3 - 8

B: X - 8/3

C: 3x - 8

D: 8 - x/3​

Answers

Answer:

Step-by-step explanation:8 less means you will be subtract 8 from another number. The quotient of x and 3 is gotten by dividing x by 3 or x/3.

please help giving brainly and points :)​

Answers

Answer:

A)-4,-5

B)4,5

Step-by-step explanation:

I will give brainliest please help!

Answers

Answer:

40/5 = 8 per hour

Hope this helped :)

solve for X. Round to the nearest tenth, if necessary. ​

Answers

Answer:

x=50.7

Explanation

90+38+x+1.3=180

90+38

Add these numbers

=128

128+x+1.3=180

128+x+1.3

Add these numbers

128+1.3=129.3

129.3+x

129.3+x=180

129.3+x

sort elements

x+129.3=180

129.3

convert this to a fraction

1293/10

x+1293/10=180

x+1293/10=180

Move each term from the right to the left side and change a sign of every element

x+1293/10-180=0

x+1293/10-180

subtract these number

1293/10-180=1293/10-1800/10

=-507/10

x-507/10=0

f (x)=x-507/10

a=1

b=-507/10

x-507/10=0

move each number from the left a the right side and change a sign of every element

x=507/10

therefore x=50.7

in what ratio we increase 900 to get 1200​​

Answers

Answer:

4:3

Step-by-step explanation:

Let's say that the number we multiply to get to 1200 from 900 is x.

900x=1200

Now, we divide both sides by 900:

x=1200/900

x=4/3

The number is 4/3. In ratio form, this is 4:3

Answer:

3 : 4

Step-by-step explanation:

      900  : 1200

= 30 x 30 : 30 x 40

=         30 : 40

=    3 x 10 : 4 x 10

=           3 : 4

log (sqrt(xy))/z is equal to

a) 1/2 logx + 1/2 logy - logz
b) 1/2 logx + logy - logz
c) 1/2 (logx + logy - logz)
d) 1/2 log xy/ logz

Answers

Answer:

A) [tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]

Step-by-step explanation:

[tex]log\frac{\sqrt{xy}}{z}[/tex]

[tex]log\sqrt{xy}-log(z)[/tex]

[tex]log(xy)^\frac{1}{2}-log(z)[/tex]

[tex]\frac{1}{2}log(xy)-log(z)[/tex]

[tex]\frac{1}{2}(log(x)+log(y))-log(z)[/tex]

[tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]

Therefore, A is correct

3^8 times 3^2, using properties of exponents

Answers

Answer:

[tex]3^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]

Sam took a total of 12 tests over the course of 6 weeeks if the continued to take tests at the same rate how many tests will Sam have taken after 28 weeks of school

Answers

Answer:

56 tests

Step-by-step explanation:

first find the amount of test he took each week. if we divide 12 by 6 (12 ÷ 6 = 2) we find out that he took 2 tests per week.

So if he continues with the same rate for the next 28 weeks of school, in order to find out how many tests he would have taken, we just need to  multiply 28 by 2 (28 × 2 = 56), which will be equal to 56

hope this helps! if you have any questions, let me know!

Question 1
Which of the following numbers is greater than 6 and less than 8?
60
O 780
70

Answers

Answer:

The number which is more than 6 and less than 8 is 7.

Step-by-step explanation:

There are the natural numbers.

To find the number which is more than 6 but less than 8.

The numbers which are more than 6 are 7, 8, 9, 10, ....

The numbers which are less than 8 are ...,3, 4, 5, 6, 7

So, the number which is more than 6 and less than 8 is 7.

what would be the best first step in solving this system?​

Answers

Answer:

B. substitute for X in first equation

Use the formula A=bhto find the area of the parallelogram.
2.1 m
6.3 m

Answers

Answer:

A = 13.23 m²

Step-by-step explanation:

A = bh

Where,

A = area of the parallelogram

b = base of the parallelogram

h = height of the parallelogram

From the question, assume

b = 2.1 m

h = 6.3 m

A = bh

= 2.1 m × 6.3 m

= 13.23 m²

A = 13.23 m²


Find the equation of a line with a slope of -9, passing through the point (1, -3). Enter
this equation in slope/y-intercept form in the blank

Answers

Answer:

y=-9x+6

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=-9(x-1)

y+3=-9(x-1)

y=-9x+9-3

y=-9x+6

help help help help help​

Answers

Step-by-step explanation:

press the picture to see the answer I swear it has a solution too

Car price $118,191
Percent for car loan: 2.49%
36 months

Find monthly payment show work

Answers

Answer:

3410.64

Step-by-step explanation:

Gonna assume that the 2.49 is the APR

present value of the loan= present value of the payments

effective rate: .0249/12= .002075

x= payment

[tex]118191=x\frac{1-(1+.002075)^{-36}}{.002075}\\118191=34.6536494355x\\x=3410.63645317[/tex]

Please help me I really need help

Answers

771.05 m³ is tge answer brudah !!

V = pi x 4^2 x 14 + 1/3 x pi x 4^2 x 6
= 703.72 + 100.53
= 804.2 m^3 (4sf)
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