A circle is centered on point (-2,-1). The circle passes through the point (-7,-7). What is its radius?

Answers

Answer 1

Answer:

-The answer for the radius:

[tex]\sqrt{61} = r[/tex]

Step-by-step explanation:

-The equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex] (where the center is known as [tex](h,k)[/tex], the point is [tex](x,y)[/tex] and the radius known as [tex]r[/tex]).

-Use both the center (-2,-1) and the point (-7,-7) for the equation:

[tex](-7+2)^2+(-7+1)^2=r^2[/tex]

-Then, solve the equation to get the radius:

[tex](-7+2)^2+(-7+1)^2=r^2[/tex]

[tex](-5)^2+(-6)^2=r^2[/tex]

[tex]25+36=r^2[/tex]

[tex]61 = r^2[/tex]

[tex]\sqrt{61} = \sqrt{r^2}[/tex]

[tex]\sqrt{61} =r[/tex]

So, therefore the radius is [tex]\sqrt{61}[/tex] .


Related Questions

x + y = 7 x + y = 6 What is the solution of the system shown? (6, 12) ( , 14) (10 , 5)

Answers

Answer:

no solution

Step-by-step explanation:

x + y = 7

x + y = 6

Multiply the second equation by -1

x + y = 7

-x - y = -6

-----------------------

0x +0y = 1

0 =1

This is never true so there is no solution

What step comes first to solve 18/2 - 5 + 7 - 12

Answers

Answer:

You would do 18/2 first.

Step-by-step explanation:

In order of P.E.M.D.A.S (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), Division is the first main operation you would do, therefore making 18/2 the first thing to do.

Solve for b.
12 = -18 + 6b​

Answers

Answer:

B=5

Step-by-step explanation:

mark me brainliest please

Answer:

b = 5

Step-by-step explanation:

12 = -18 + 6b

30 = 6b

5 = b

HELP WILL GIVE BRAIN LIST PLZZ HELP ME ASAP!!

What is the volume of the figure above if a = 5 units and b = 8 units?
A.
215 cubic units
B.
825 cubic units
C.
200 cubic units
D.
325 cubic units

Answers

Answer:

D. 325 cubic units

Step-by-step explanation:

Since this is an irregular 3 dimensional object, I'm going to cut it into a 5 by 5 by 5 cube and a 5 by 5 by 8 rectangular prism.

Solving for the cube:

5*5*5=

25*5=

125 units³

Solving for the rectangular prism:

5*5*8=

25*8=

200 units³

Now to find the total volume of the figure, we need to add those 2 volumes together:

200+125=325 units³

Our answer is D. 325 cubic units.

Hi, I need help.

If 4r+7s=23 and r−2s=17 then 3r+3s=

(A) 8 (B) 24 (C) 32 (D) 40 (E) 16

Answers

Answer:

B, 24 (second answer choice)

Step-by-step explanation:

4r+7s=23

r-2s=17

8r+14s=46

7r-14s=119

15r=165

r=11

11-2s=17..........by putting value of r in ii

-2s=17-11

2s= -6

s= -3

3r+3s=3*11+3(-3) you get this by putting values of r and s

       =33-9

       =24    (B)

Answer:  B) 24

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

Explanation:

Add the left hand sides of the two equations to get (4r+7s)+(r-2s) = 5r+5s

Do the same for the right hand sides of the two equations 23+17 = 40

After adding the equations, we end up with 5r+5s = 40 which is the same as 5(r+s) = 40

Next, divide both sides by 5 to lead to r+s = 8

Finally, multiply both sides by 3 to end up with 3(r+s) = 24 which is the same as 3r+3s = 24

----------------------------

An alternative is to solve r-2s = 17 for r to get r = 2s+17. Then plug this into 4r+7s = 23 getting 4(2s+17)+7s = 23. This solves to...

4(2s+17)+7s = 23

8s+68+7s = 23

15s+68 = 23

15s = 23-68

15s = -45

s = -45/15

s = -3

Which means,

r = 2s+17

r = 2(-3)+17

r = 11

and therefore,

3r+3s = 3(-3)+3(11) = -9+33 = 24

I NEED THIS SO BAD SO I WILL GIVE CROWN FOR ANSWER

Bela runs a 6.2 mile race and a 26.22 mile race during the year.

How many total miles did she run in both races?

Enter your answer in the box.

Answers

Answer:

32.42  miles

Step-by-step explanation:

you could have just added

Answer:

32.42 miles

hope this helped

Solve X: -3x +32-2x=-2 (5x + 10)

How many solutions does
3x + 3 = 3(x + 1) have ?

Answers

1)

[tex] - 3x + 32 - 2x = - 2(5x + 10) \\ - 5x + 32 = - 10x - 20 \\ 5x = - 52 \\ x = - 10.4[/tex]

2)

[tex]3x + 3 = 3(x + 1) \\ 3x + 3 = 3x + 3 \\ 0x = 0[/tex]

This equation has an infinite number of solutions

The solution is infinite.

-Dhruva;)

Find the solution or solutions to the equation 36=q²​

Answers

The solutions for the given equation are the values:  -6 and 6.

Root

The exponent of a number indicates how many times to use the number in a product. The root is the inverse of a power operation. For example:

[tex]x*x=x^2[/tex] and [tex]\sqrt{x^2}=x[/tex].  See that the square root of a number is the value of power [tex]\frac{1}{2}[/tex] .

Therefore, in this question for finding the value of q, you should apply the square root in both sides.

                                               [tex]36=q^2\\ \\ \sqrt{36} =\sqrt{q^2} \\ \\ \pm 6=q[/tex]

You can check this result applying the power 2. See:

(-6)²=(-6)*(-6)=36

(6)²= (6)*(6)=36

Learn more about the square root here:

https://brainly.com/question/466136

Emily has 3/4 of an apple pie left over from dinner. After lunch, she ate half of what was left. What fraction of the pie is left?

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

This is what I got 0.375

Step-by-step explanation:

But this is in decimal form. Sry

what is the answer i am confused pls help

Answers

Hopefully this could help you G=5

rewrite the product as a sum: 10cos(5x)sin(10x)

Answers

Answer:

10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

Step-by-step explanation:

In this question, we are tasked with writing the product as a sum.

To do this, we shall be using the sum to product formula below;

cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]

From the question, we can say α= 5x and β= 10x

Plugging these values into the equation, we have

10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]

= 5[sin (15x) - sin (-5x)]

We apply odd identity i.e sin(-x) = -sinx

Thus applying same to sin(-5x)

sin(-5x) = -sin(5x)

Thus;

5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]

= 5[sin (15x) + sin (5x)]

Hence,  10cos(5x)sin(10x) =  5[sin (15x) + sin (5x)]

2. The temperature of the ocean at Huntington Beach can vary up to 8.6°F from the
average temperature of 75°F. Write and solve an absolute value equation to find the temperature extremes of the ocean.
temperature extremes of the ocean.

Answers

Let x represent temperature of the ocean.

We have been given that the temperature of the ocean at Huntington Beach can vary up to 8.6°F from the  average temperature of 75°F. We are asked to write an absolute value equation to find the temperature extremes of the ocean.

We will use tolerance formula to solve our given problems.

[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]

Upon substituting our given values in above formula, we will get:

[tex]|x-75|\leq 8.6[/tex]

Therefore, our required inequality would be [tex]|x-75|\leq 8.6[/tex].

Using absolute value rule [tex]\text{If }|u|\leq a,\text{ then } -a\leq u\leq a[/tex], we will get:

[tex]-8.6\leq x-75\leq 8.6[/tex]

[tex]-8.6+75\leq x-75+75\leq 8.6+75[/tex]

[tex]66.4\leq x\leq 83.6[/tex]

Therefore, the temperature extremes of the ocean would be [tex]66.4\leq x\leq 83.6[/tex].

Use the compound interest formulas to solve. A = P(1 + r/n)nt and A = Pert Suppose you have $3000 to invest. Which investment yields the greater return over 10 years: Account 1: 6.5% compounded semiannually? Account 2: 6% compounded continuously? The account with the better investment is Account which yields dollars more after 10 years.

Answers

Answer:

Account 1 yields greater return.

Step-by-step explanation:

Lets solve for the first formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

First, change 6.5% into a decimal:

6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065

Now, plug in the values for Account 1:

[tex]A=3,000(1+\frac{0.065}{2})^{2(10)}[/tex]

[tex]A=5,687.51[/tex]

Now solve for Account 2:

Change 6% into a decimal:

6% -> [tex]\frac{6}{100}[/tex] -> 0.06

Now plug in the values:

[tex]A=3,000e^{0.06(10)}[/tex]

[tex]A=5,466.36[/tex]

Account 1 yields better money after 10 years.

please help!!!

find the median, first quartile, third quartile, and interquartile range of the data.

12, 31, 9, 20, 36, 5, 22
and
63, 68, 58, 77, 50, 49, 63, 73

Answers

Answer:

Part 1) 12, 31, 9, 20, 36, 5, 22

Sort the data:

5, 9, 12, 20, 22, 31, 36

Median: 20

First Quartile: 9

Third Quartile: 31

IQR: 31 - 9 = 22

and

Part 2) 63, 68, 58, 77, 50, 49, 63, 73

Sort the data:

49, 50, 58, 63, 63, 68, 73, 77

Median: (63÷63)/2 = 63

First Quartile: (50+58)/2 = 54

Third Quartile: (68+73)/2 = 70.5

IQR: 70.5 - 54 = 16.5

What is 800+ 22 rounded to the nearest hundred?
788
800
822
900​

Answers

Answer:

800

Step-by-step explanation:

because if you round 822 to the nearest hundred you would 800 since its the closest one

Answer:

822 rounded to the nearest hundred is: 800 When rounding to the nearest hundred, like we did with 822 above,  We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

Step-by-step explanation:

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000+1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Answers

Answer:

2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

if a quadrilateral is a square then is it a rectangle​

Answers

Answer:

Yes it is.

Step-by-step explanation:

I did some research, plus we learned about this in Geometry

Plz click the Thanks button!

<Jayla>

Evaluate the expression c=-8 -2c=

Answers

Answer: +16

Step-by-step explanation: In this problem, we want to evaluate the expression, -2c, when c is equal to -8.

Since we have -2c and c is -8, we simply multiply -2(-8) which is +16.

Which two expressions can be used to answer this question? 45% of the 647 students at Royal Oak High attended the football game. How many students did not attend?

Answers

Answer:

356

Step-by-step explanation:

.55*647=356

i think 356 might be the answer

In ΔJKL, k = 22 cm, ∠L=23° and ∠J=26°. Find the length of j, to the nearest 10th of a centimeter.

Answers

We have been given that in ΔJKL, k = 22 cm, ∠L=23° and ∠J=26°. We are asked to find the length of j to the nearest tenth of a centimeter.

We will use law of sines to solve for side j.

[tex]\frac{a}{\text{sin}(A)}=\frac{b}{\text{sin}(B)}=\frac{c}{\text{sin}(C)}[/tex], where, a, b and c are opposite sides to angles A, B and C respectively.

We need to find measure of angle K to apply law of sine to our given problem.

Using angle sum property, we will get:

[tex]\angle J+\angle K+\angle L=180^{\circ}[/tex]

[tex]26^{\circ}+\angle K+23^{\circ}=180^{\circ}[/tex]

[tex]\angle K+49^{\circ}=180^{\circ}[/tex]

[tex]\angle K+49^{\circ}-49^{\circ}=180^{\circ}-49^{\circ}[/tex]

[tex]\angle K=131^{\circ}[/tex]

[tex]\frac{j}{\text{sin}(J)}=\frac{k}{\text{sin}(K)}[/tex]

[tex]\frac{j}{\text{sin}(26^{\circ})}=\frac{22}{\text{sin}(131^{\circ})}[/tex]

[tex]\frac{j}{\text{sin}(26^{\circ})}\cdot \text{sin}(26^{\circ})=\frac{22}{\text{sin}(131^{\circ})}\cdot \text{sin}(26^{\circ})[/tex]

[tex]j=\frac{22}{0.754709580223}\cdot 0.438371146789[/tex]

[tex]j=\frac{9.644165229358}{0.754709580223}[/tex]

[tex]j=12.77864423889[/tex]

Upon rounding to nearest tenth, we will get:

[tex]j\approx 12.8[/tex]

Therefore, the length of j is approximately 12.8 cm.

Answer:

12.8

Step-by-step explanation:

delta math

A number k is greater than 3

Answers

Answer:

k>3.

Step-by-step explanation:

Hello there!

Just graph this on a number line, and you will see that any number above 3 can be equal to k.

:)

Find the sum or difference. Write your answers in scientific notation.

(6.5×10−4)−(1.9×10−5)=

(5.3×109)+(2.8×109)=

Answers

Answer:

[tex]6.31*10^{-4} \\8.1*10^{9}[/tex]

Step-by-step explanation:

0.00065 - 0.000019 = 0.000631

Move back 4 decimal places.

5300000000 + 2800000000 = 8100000000

Move forward 9 decimal places.

Hope this helps! If you need help on converting them back to scientific notation or getting the value of the exponent, just ask!

Final answer:

To find the sum or difference, adjust the scientific notations to have the same exponent, perform the operation, and keep the result in scientific notation. (6.5×10⁻⁴) − (1.9×10⁻⁵) equals 6.31×10⁻⁴ and (5.3×10⁹) + (2.8×10⁹) equals 8.1×10⁹.

Explanation:

To find the sum or difference of numbers in scientific notation, we need to make sure that the exponents are the same. If they're not, we adjust one of the numbers by changing its exponent and mantissa accordingly.

Solution for (6.5×10⁻⁴) − (1.9×10⁻⁵)

First, we adjust the second term so that it has the same exponent as the first:
(1.9×10⁻⁵) = (0.19×10⁻⁴)
Now, we subtract the mantissas while maintaining the exponent:
(6.5 - 0.19)×10⁻⁴ = 6.31×10⁻⁴.

Solution for (5.3×10⁹) + (2.8×10⁹)

Since the exponents are the same, we can directly add the mantissa:
(5.3 + 2.8)×10⁹ = 8.1×10⁹.

Both answers are now in scientific notation.

Find the median:
3, 5, 7, 4, 3,1​

Answers

Answer:

3.5

Step-by-step explanation:

The median is the middle number when the numbers are aligned from smallest to largest

3, 5, 7, 4, 3,1​

1,3, 3,      4 ,5 ,7

The middle is between the 3 and the 4  so average the 3 and the 3

(3+4)/2 = 7/2 = 3.5

The median is 3.5

someone please solve this for me!

Answers

Answer:

  x = 149

Step-by-step explanation:

The transversal t crosses parallel lines m and n creating a number of angles. Both marked angles are above and to the right of the point of intersection, so they are corresponding angles.

Corresponding angles in this geometry have identical measures:

  x° = 149°

  x = 149

In the state of Arkansas, Muscadine grapes are a very popular fruit for making jam and jelly. Michael began growing the fruit more than twelve years ago. He predicted this year's crop would produce 8 bushels. When harvesting was complete, he actually counted 14 bushels. Find the percent of error. (Round to the nearest whole percent and include the percent sign in your answer).

Answers

Answer:

The percentage of error in the question is 75%.

Step-by-step explanation:

To find the percentage of error, we need to subtract the actual value from the value that was expected, divide the result by the expected value.

He predicted that the crop would produce 8 bushels so this is our expected value. The actual value, which is the number of bushels produced, is 14.

If we make the calculation (14 - 8) / 8 = 6 / 8.And then multiply the result by 100 to find the percentage, (6 / 8) x 100 = 75.

So the percentage of error in the question is 75%.

I hope this answer helps.

true or false:
In naming arcs, ABC is equivalent to AC

Answers

Answer:

True

Step-by-step explanation:

I have a picture of my notes right here

GETS BRAINILIST IF RIGHT PLS ANSWER QUICK 6TH GRADE ADV SCIENCE!!!!!The contractions experienced by women in labor are often very painful. Yet the body's feedback system encourages them to continue. Why?[Contractions] AA woman's feedback system goes haywire when she goes into labor incorrect answer BThough painful, the contractions help women give birth incorrect answer CThe feedback system also releases special hormones to kill the pain incorrect answer DThe baby's feedback system causes the contractions to continue, not the mother's feedback system

Answers

Answer:

the correct answer is b.) though painful, the contractions help women give birth

Step-by-step explanation:

Final answer:

The contractions in labor are part of a feedback system involving the uterus, hypothalamus and posterior pituitary gland, resulting in the release of oxytocin. This hormone triggers increased uterine contractions which helps in the birthing process, continuing until the baby is born.

Explanation:

The contractions experienced by women in labor, despite being painful, are a necessary part of the birth process, and the body has a feedback system that encourages this process to continue. The basis for this is a feedback relay between the uterus, hypothalamus, and the posterior pituitary gland in the brain. The first contractions of labor, which are the stimulus, push the baby toward the cervix, the lowest part of the uterus. The cervix contains stretch-sensitive nerve cells that monitor the degree of stretching, these sensors then send messages to the brain, which in turn causes the pituitary gland at the base of the brain to release the hormone oxytocin into the bloodstream.

Oxytocin causes stronger contractions of the smooth muscles in the uterus, which are the effectors, pushing the baby further down the birth canal. This causes even greater stretching of the cervix. The cycle of stretching, oxytocin release, and increasingly more forceful contractions only stops when the baby is born. At this point, the stretching of the cervix halts, thereby stopping the release of oxytocin.

Learn more about Child labor and birth here:

https://brainly.com/question/37670922

#SPJ3

Which shape could be thought of as being created by stacking congruent polygons?
cone
rectangular prism
square pyramid
triangular pyramid

Answers

Answer:

its B

Step-by-step explanation:

Final answer:

A rectangular prism can be thought of as being created by stacking congruent polygons, as its faces are identical rectangles or squares. Pyramids, on the other hand, have a consistent base but their side faces are triangles that converge, not congruent polygons. A cone does not consist of stacking polygons since it has a continuous curved surface.

Explanation:

The shape that could be thought of as being created by stacking congruent polygons is the rectangular prism. When you stack identical polygons directly on top of each other, you are essentially creating the sides of a prism. Rectangular prisms are made up of congruent rectangles (or squares if it's a cube). Each face is identical, and they are stacked in a way that the height of the prism adds dimensionality but does not change the consistency of each face being a congruent polygon.

In contrast, when you consider shapes like pyramids, they do not have congruent faces all around. For example, a square pyramid has a square base, but the side faces are triangles that converge at a point. Similarly, a triangular pyramid (also known as a tetrahedron) also does not have congruent faces all around since it consists of equilateral triangles that meet at a point. The cone is a special case where the base is a circle (an infinite number of infinitesimally small sides), and the surface is a continuously curved shape, so it does not consist of stacking congruent polygons.

(fx)=4x^2-25 answer this question using factoring

Answers

Answer:

(2x+5)(2x-5)

x=-5/2, +5/2

Step-by-step explanation:

Whatttttt doesssss x equallllllll?

Answers

Answer: cos30

Step-by-step explanation:

Cos(angle) = adjacent leg/hypotenuse

Cos(x) = 4/21

X = arccos4/21

X = 79.0194 degrees

Round the answer as needed.

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