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AleksAgata [21]
3 years ago
12

Write the equation of the circle with the given center and radius.

Mathematics
1 answer:
34kurt3 years ago
4 0

Step-by-step explanation:

The standard equation of a circle is (x - h)^2 + (y - k)^2 = r^2

Center = (h, k)

#1

Center = (0,2)

h = 0

k = 2

r = 5

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

(x - 0)^2 + (y - 2)^2 = 5^2

#2

Center = (-4,-5)

h = -4

k = -5

r = \sqrt{2}

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

(x - (-4))^2 + (y - (-5))^2 = \sqrt{2}^2

(x + 4))^2 + (y + 5))^2 = \sqrt{2}^2

#3

Center =(-1,3)

h = -1

k = 3

r = 8

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

(x - (-1))^2 + (y - 3)^2 = 8^2

(x + 1)^2 + (y - 3)^2 = 8^2

#4

Center: (9,0)

h = 9

k = 0

r = \sqrt{3}

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

(x - 9)^2 + (y - 0)^2 = \sqrt{3}^2

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vichka [17]

Answer:

1.) A' = (4,-4)

   B' = (2,-4)

   C' = (2,-2)

   D' = (4,-2)

2.) A' = (-1,5)

    B' = (-2,1)

    C' = (0,1)

Hope this helps!

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4 0
2 years ago
Students reported volunteering at the animal shelter during the last 6 months for 25, 36, 31, and 32 hours. What is the mean abs
77julia77 [94]
The correct answer for the question that is being presented above is this one: "3"

(1) First get the mean: 25 + 36+ 31 + 32 / 4 = 31
(2) Find the distance of each value to the mean: 31-25= 6; 36-31=5; 31-31=0; 32-31=1
(3) Get the mean of the distance: 6 + 5 + 0 + 1 / 4 = 3
8 0
3 years ago
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Find the rule, and type the missing number in the sequence. 920, 855, 790, ____
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7 0
2 years ago
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(Writing Two-Step Equations HC) Given the equation 4x + 12 = 64: Part A: Write a short word problem about a purchase made to ill
poizon [28]

Considering the expression 4x + 12 = 64, it is found that:

A. The problem is that you purchased x fried pastry, costing $4, plus a chocolate and a soda, costing $12, and the total purchase cost was of $64.

B. The solution is x = 13.

C. The solution means that you purchased 13 fried pastry.

<h3>Expression</h3>


The expression is presented as follows:

4x + 12 = 64.

A possible context for this problem is:

  • x fried pastry are purchased, each costing $4, hence 4x.
  • A chocolate and a soda purchased, costing a total of 12, hence 4x + 12.
  • The total cost of the purchase was of $64, hence 4x + 12 = 64.

The number of fried pastry purchased is the solution to the equation, calculated as follows:

4x + 12 = 64

4x = 52

x = 52/4

x = 13 -> 13 fried pastry were purchased.

More can be learned about expressions at brainly.com/question/24342899

#SPJ1

5 0
1 year ago
Simplify the square root of -72
kupik [55]

Answer:

6i\sqrt{2}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} = \sqrt{ab} and \sqrt{-1} = i

Given

\sqrt{-72}

= \sqrt{36(2)(-1)}

= \sqrt{36} × \sqrt{2} × \sqrt{-1}

= 6\sqrt{2} × i

= 6i\sqrt{2}

5 0
3 years ago
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