A circle whose center is at (1, -3) passes through (7, 5).

What is the length of the radius of the circle?

Answers

Answer 1

Answer:

10 units

Step-by-step explanation:

Length of the radius of the circle will be equal to the distance between the center of the circle and the point through which it passes.

Therefore,

Length of radius

[tex] = \sqrt{(1 - 7)^{2} + {( - 3 - 5)}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + ( - 8)^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]


Related Questions

What are the two consecutive whole numbers that the quotient for 86/11 is between?

Answers

Answer:

7 and 8

Step-by-step explanation:

The quotient is the answer to a division problem.

86/11= 7.81818182

This number is in between 7 and 8

Mario is paid a salary of $500 plus 8% of sales. Calculate his total income if his sales total $10,890 in the
current pay period.

Answers

Answer:

His total income is of $1,371.2.

Step-by-step explanation:

His salary is of $500, plus 8% of his sales.

In this question:

Sales of $10,890. So his salary is given by:

[tex]S = 500 + 0.08*10890 = 500 + 871.2 = 1371.2[/tex]

His total income is of $1,371.2.

Hi I need help pls
Due in 10 mins

Answers

Step-by-step explanation:

I'm sorry

i dont know this particular question

Pls helppp I don’t understand also if you can can you show the works pls if you can tho

Answers

Answer:

I would help but it is just black try to repost it and i will tell you what it is

Step-by-step explanation:

Answer There is only a black picture :)

Find the volume of the triangular prism.
PLEASE HELP!

Answers

Answer:

53.76 cm³

Step-by-step explanation:

1/2(4.8)(3.2)(7)=53.76

The picture is quite blurry.  I think it's 4.8 at the base, but can't see for sure.

I thinks it’s 4.8 sorry if it’s wrong.

order the rational numbers from least to greatest. -3/4. -0.85. 0.55. 1/4. -0.9. -1/2​

Answers

Answer:

-0.9, -0.85, -3/4, -1/2, 1/4, 0.55

Step-by-step explanation:

Answer:

-0/9 ,-1/2 ,-1/4 , 0.55, -0.85

Determine whether the given answer is a Solution or Not a Solution
x<6 x=3
x≥10 x=10
x>−3 x=−6
x≤15 x=20
x<9 x=9
x≥8 x=12

Answers

Answer:

1- yes

2- yes

3- no

4- no

5- no

6- yes

Step-by-step explanation:

Which of the following could result in higher living costs for the homeowner that the renter doesn't have?
a. decreased property value
b. down payment
C. maintenance
d. monthly payment
Please select the best answer from the choices provided
ΟΟΟΟ
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

MAINTENANCE

Step-by-step explanation:

The student body President of a high school claims to know the names of at least 1000 of the 1800 students at the school. To test this claim, the Student Government Advisor randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students. What would be the 99% confidence interval for p in this case?

Answers

Answer:

The 99% confidence interval for p in this case is (0.3317, 0.5883).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.

This means that:

[tex]n = 100, \pi = \frac{46}{100} = 0.46[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 - 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.3317[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 + 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.5883[/tex]

The 99% confidence interval for p in this case is (0.3317, 0.5883).

I need help

5th Grade: Module 2 - Lesson 23 --if u dont know search that up

please send me picture why bc i need do a division of that and show my work please help

problem: 9152/29

Answers

Answer:

please

Step-by-step explanation:

Write an equation that you can use to solve for X.
Enter your answer in the box.



Pls help!!

Answers

Answer:

x+60=100

Step-by-step explanation:

the 100 degree angle is the same as the 60 degree and x added together.

y = 2Vx+4

vertex:
domain:
range:
y-intercept:
x-intercept:

Answers

Answer:

y = 2vx+4

x= y/2v - 2/v

Domain (-infinite sign , infinite sign)

Range (-infinite sign , infinite sign)

vertex center (0,0)

vertices (2,0) , (-2,0)

Foci (6,0) , (-6,0)

Eccentricity 6/2

focal 6/3

Asymptotes : y=2x/2 , y=-x2/2

For what value of t is R(t) = D(t) true

Answers

Answer:

t=4.3

Step-by-step explanation:

t=time and 4.3 is the time when the lines intercept on the graph

hope this helped

Jake is 5 years older than his brother Kevin.
Kevin is k years old. Write an algebraic
expression for Jake's age.

Answers

I don’t know let me do the math real quick !!

Answer:

5+k

Step-by-step explanation:

its saying jake is 5 MORE then kevin so either add or multiply.

1. Xian gets 95% of the Math test correctly which is 38. How many items does the test have?
Answer:
If the
an hold 16 ounces, how many ounces​

Answers

________________________________

38 ÷ 95 × 100= 40There Is 40 Questions In Total

________________________________

Answer:

40

[tex]38 \div 95 \times 100\%[/tex]

help plssssssssssssssssssssssssssssssssssssssssssssssssssssssss
what is the volue of j?

Answers

Answer:

23 is the answer the J is acute but it has a vary so it is even smaller than 49 so it's like subtracting 26

Answer: j=27 degrees

49+j=76 because vertical angles are always congruent. Now that we know that, we can subtract 49 from 76 which equals 27 degrees and that's your answer!

Hope this helped you!

Solve.
5) Solve 2y + 12 < 42.
Show your work.

Answers

The answer is y < 15

Answer:

y<15

Step-by-step explanation:

Subtract 12 from both sides.

2y+12−12<42−12

2y<30

Step 2: Divide both sides by 2.

2y

2

<

30

2

y<15

Answer:

y<15

Frankie factored the expression ls 14m + 21pm - 35mq as 7(2m + 3pm - 5mq) . She thinks she has factored out the greatest common factor because you cant factor out variables. Do you agree or disagree?Explain​

Answers

Answer:

Disagree, as m is common to all terms of the expression and thus, can be factored. The factored expression is 7m(2 + 3p - 5q)

Step-by-step explanation:

If a variable is common to all terms of an expression, it can be factored.

14m + 21pm - 35mq

Here, m is common to all terms of the expression, so the factored expression is:

[tex]7m(\frac{14m}{7m} + \frac{21pm}{7m} - \frac{35mq}{7m}) = 7m(2 + 3p - 5q)[/tex]

Disagree, as m is common to all terms of the expression and thus, can be factored. The factored expression is 7m(2 + 3p - 5q)

115 degrees (5x-10degrees) what does x equal show your work

Answers

Answer: 21

Step-by-step explanation:

115-10=105

105/5=21

what is the value of X and Y ​

Answers

Answer:

x = 2.25 y =6

Step-by-step explanation:

Its a SCALE DRAWING with a factor of 3/4. Just multiply all the lengths of the first triangle by 3/4. 12 x 3/4 = 9    8 x 3/4 = 6   3 x 3/4 = 2.25

Hope this helped! If it did, please mark brainliest! It would help me out a lot! Thanks! :D

A square notepad has sides that are 14 centimeters long. What is the notepads perimeter?

Answers

square has four sides
14x4=56

Answer:

56 cm (22.4 in)

Step-by-step explanation:

14+14+14+14=56 or 14x4=56

Mark is six years older than his brother Sam. The sum of their ages is 30. Let a be Sam's age. Set
up an equation using the information given.

Answers

LET,
The present age of Sam be a
& the present age of mark be b
According to question,
6(a+b)=30 (now solve it !)

Hope this helps !

Please mark it as the brainliest <3

Answer:

(m+6)+m=30

Step-by-step explanation:

The same survey database cited in exercise 4.3.1 (A-5) shows that 32 percent of U.S. adults indicated that they have been tested for HIV at some point in their life. Consider a simple random sample of 15 adults selected at a time. Let X be the number of adults who have been tested for HIV in the sample. For the following, find the numerical answer and describe the answer in words:

a. Three
b. Between five and nine, inclusive
c. More than five, but less than 10
d. Six or more
e. Less than five
f. Find the mean and the variance of the number of people tested for HIV in samples of size 15.

Answers

Answer:

a. P(X = 3) = 0.145736

b. P(5≤X≤9) = 0.5462

c. P(5<X<10) = 0.3332

d. P(X≥6) = 0.3393

e. P(X<5) = 0.4477

f. Mean = 4.8, Variance = 3.264

Step-by-step explanation:

Given - The same survey database cited in exercise 4.3.1 (A-5) shows

             that 32 percent of U.S. adults indicated that they have been

             tested for HIV at some point in their life. Consider a simple

             random sample of 15 adults selected at a time. Let X be the

             number of adults who have been tested for HIV in the sample.

To find - For the following, find the numerical answer and describe

              the answer in words:

              a. Three

              b. Between five and nine, inclusive

              c. More than five, but less than 10

              d. Six or more

              e. Less than five

              f. Find the mean and the variance of the number of people

                 tested for HIV in samples of size 15.

Proof -

Given that , n = 15, p = 32% = 0.32

Now,

a.

P(X = 3) = binomial distribution (3, 15, 0.32, 0)

             = [tex]\left(\begin{array}{ccc}15\\3\end{array}\right)(0.32)^{3}(1-0.32)^{15 - 3}[/tex]

             = 455(0.032768)(0.009774)

             = 0.145736

⇒P(X = 3) = 0.145736

b.

P(5≤X≤9) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)

               = [tex]\left(\begin{array}{ccc}15\\5\end{array}\right)(0.32)^{5}(1-0.32)^{15 - 5}[/tex]+ [tex]\left(\begin{array}{ccc}15\\6\end{array}\right)(0.32)^{6}(1-0.32)^{15 - 6}[/tex] + [tex]\left(\begin{array}{ccc}15\\7\end{array}\right)(0.32)^{7}(1-0.32)^{15 - 7}[/tex] + [tex]\left(\begin{array}{ccc}15\\8\end{array}\right)(0.32)^{8}(1-0.32)^{15 - 8}[/tex]+ [tex]\left(\begin{array}{ccc}15\\9\end{array}\right)(0.32)^{9}(1-0.32)^{15 - 9}[/tex]

               = 0.213 + 0.1671 + 0.1011 + 0.0476 + 0.0174

               = 0.5462

⇒P(5≤X≤9) = 0.5462

c.

P(5<X<10) = + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)

                 =  [tex]\left(\begin{array}{ccc}15\\6\end{array}\right)(0.32)^{6}(1-0.32)^{15 - 6}[/tex] + [tex]\left(\begin{array}{ccc}15\\7\end{array}\right)(0.32)^{7}(1-0.32)^{15 - 7}[/tex] + [tex]\left(\begin{array}{ccc}15\\8\end{array}\right)(0.32)^{8}(1-0.32)^{15 - 8}[/tex]+ [tex]\left(\begin{array}{ccc}15\\9\end{array}\right)(0.32)^{9}(1-0.32)^{15 - 9}[/tex]

               =  0.1671 + 0.1011 + 0.0476 + 0.0174

               = 0.3332

⇒P(5<X<10) = 0.3332

d.

P(X≥6) = 1 - P(X < 6)

           = 1 - P(X ≤ 5)

           = 1 - binomial(5, 15, 0.32, 1)

           = 1 - 0.6607

           = 0.3393

⇒P(X≥6) = 0.3393

e.

P(X<5) = P(X≤4)

           = binomial (4, 15, 0.32, 1)

           = 0.4477

⇒P(X<5) = 0.4477

f.

Mean = np

         = 15(0.32)

         = 4.8

⇒Mean = 4.8

Variance = np(1-p)

              = 15(0.32)(1 - 0.32)

              = 4.8(0.68)

              = 3.264

⇒Variance = 3.264

The area of the base is 56 square inches. Which of the following is the best estimate for the volume of the tent?

Answers

Answer:

what are the following??

Step-by-step explanation:

Answer:

sorry dont know

Step-by-step explanation:

help again lol read what i put before answering

Answers

Answer: 743

Step-by-step explanation:

It's simple, by using a calculator it's 743.

(5433/8 = 743)

Answer: 743

sorry, don’t have sketch pad!

Graph the inequality on a grid which resembles the image. 400x + 4y < 2000

Answers

Answer:

te awnser is

Step-by-step explanation:

1/2 x 6 is it 6 1/2 or is it 3 1/2 or 2 or3

Answers

Answer:   3

1/2 x 6 is the same as (1/2)*6

We multiply the fraction 1/2 by the whole number 6. We end up with 3.

If we had 6 slices of cake, and gave away half of that total, then we give away 3 slices.

Answer:

3

Step-by-step explanation:

write the fraction whole
diameter is 7 and numerator is 4​

Answers

Answer:

[tex]\dfrac{4}{7}[/tex]

Step-by-step explanation:

A fraction can be written as :

[tex]F=\dfrac{x}{y}[/tex]

Where

x is numerator and y is denominator

We need to write a fraction for denominator 7 and numerator 4.

Substitute the values,

[tex]F=\dfrac{4}{7}[/tex]

Hence, the fraction is equal to [tex]\dfrac{4}{7}[/tex].

4. A square has a perimeter of 28 units, an
ared of 49 units, and sides that are either
horizontal or vertical. The vertices are all
located in the same quadrant where the x
value is negative. What are the possible
coordinates of the square?

Answers

Answer:

7

Step-by-step explanation:

perimeter - 7+7+7+7=28

area - 7×7 = 49

it's a square so all sides are the same length.

area is length times width

perimeter is all sides added together.

Can someone help me with this task please please!!!

Answers

Answer:

10,20,30=20

5,10,1520=20

Step-by-step explanation:

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