1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kondor19780726 [428]
3 years ago
12

Find the equation of the circle in standard form given the center, point or radius. Show your solution.

Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Answer:

(x + 3)^2 + (y - 5)^2 = 17

Step-by-step explanation:

To find the radius: distance from point (-2,1) to the center from point (-3,5).

d = sqrt [(-2 - -3)^2 + (1 -5)^2]

d = sqrt [(-2 + 3)^2 + (1 -5)^2]

d = sqrt (1)^2 + (-4)^2 = sqrt 17

Radius = sqrt 17

Equation of the circle:

(x - h)^2 + (y - k)^2 = r^2

h = 3, k = 5, r = sqrt 17

(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2

(x + 3)^2 + (y - 5)^2 = 17

You might be interested in
Simplify the expression<br><br> -6 +4x+ 9 -2x
ZanzabumX [31]

Answer:

3 + 2x

Step-by-step explanation:

combine -6 + 9 = 3

combine 4x - 2x = 2x

4 0
2 years ago
Read 2 more answers
A university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standar
Ad libitum [116K]

Answer:

The Sample Size Need To be at least 114

Step-by-step explanation:

According to the Question,

  • Given, A university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 6.2 hours.

The Maximum Error(E) is given as 1.5 hours and the standard deviation(σ) is 6.2 hours.

  • Now, For 99% Confident the level of value α is 0.01.

α/2 = 0.01/2 ⇒ 0.005

  • Thus, From The table, We get that the value of Z_{alpha/2} is 2.58.

Hence, the sample size n can be found as

n = {\frac{(Z_{alpha/2} * Standard Deviation)}{E}}²

n = {2.58 × 6.2}² / 1.5²

n = 113.72 .

So, The Sample Size Need To be at least 114.

4 0
3 years ago
None of people didn't get it correct i need to write something not just solved
astra-53 [7]
First, you would find the area of the rectangle using the formula A = L • W, which would then give you 24 cm2. Then you would find the area of the triangle using the formula A = bh1/2, which would the give you the answer of 8 cm2. Then you would have to find the area of the semi-circle, using the formula A = (r • r) • 3.14 / 2, which would then give you the answer of 25.12 cm2. Finally, you would have to add up all three area’s, so 25.12 + 8 + 24, which would then give you the final answer, which would be 57.12 cm2.
5 0
3 years ago
Read 2 more answers
Does any one know the answer
gregori [183]

Answer:

Step-by-step explanation:

Solve for x=0 and x=1

y(0)=2(3^0)=2(1)=2 so (0,2) is a point.

y(1)=2(3^1)=2(3)=6 so (1,6) is a point.

Only graph B has those two points.

6 0
3 years ago
F(x)=6(1-x) what is the value of f(-8)
Mariulka [41]

Answer:

54

Step-by-step explanation:

What the shorthand is telling you is wherever you see an x on the right, you put in -8

f(x) = 6(1- x)

f(-8) = 6(1 - - 8)

f(-8) = 6(1+8)

f(-8) = 6*9

f(-8) = 54

8 0
3 years ago
Other questions:
  • Vanessa is creating centerpieces for a reception. Each centerpiece will consist of eight flowers arranged around one
    6·1 answer
  • Mariana's swimming pool holds 22,000 gallons of water. If there are approximately 7.5 gallons per cubic foot, determine the size
    14·1 answer
  • Is 1/2 greater than 3/4
    7·2 answers
  • MVA Harper industries has $900 million of common equity on its balance sheet; its stock price is $80 per share; and its market v
    11·2 answers
  • Evalúate: 3200(0.045)(8)
    9·2 answers
  • What I can do after completing the course of statistics?
    11·1 answer
  • The perimeter of triangle is 85cm two of the sides are 35cm and 25cm find the third side​
    8·1 answer
  • Can I please get some help
    7·1 answer
  • Leila puts an integer into the "In" box of each machine.
    5·1 answer
  • Can someone help me with this?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!