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
nirvana33 [79]
3 years ago
15

Write the standard form of the equation of the circle with center (-5,-7) that passes through the point (7,5).

Mathematics
1 answer:
shutvik [7]3 years ago
4 0

Answer:

(x + 5)² + (y + 7)² = 288

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The radius is the distance from the centre (- 5, - 7) to the point on the circle (7, 5)

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)

r = \sqrt{(7+5)^2+(5+7)^2} = \sqrt{12^2+12^2} = \sqrt{288}

Hence

(x - (- 5))² + (y - (- 7))² = (\sqrt{288})², that is

(x + 5)² + (y + 7)² = 288

You might be interested in
Nancy is making lemonade for her birthday party. She made 6 batches. Each batch of lemonade uses 24 fluid ounces of lemon juice
Goryan [66]

Answer:

Step-by-step explanation:

1 Us pint = 16 Us fluid ounces

It means that 8 pints of water would be

8 × 16 = 128 fluid ounces

Each batch of lemonade uses 24 fluid ounces of lemon juice and 8 pints of water. The total number of fluid ounces in each batch is

128 + 24 = 152 fluid ounces

Also,

1 fluid ounce = 0.125 Us cups

Therefore, the number of cups made is

152 × 0.125 = 19 cups

If each serving is 1 cup, then the number of servings that she made from each batch of lemonade is 19

servings. The number of batches made is 6. Therefore, the number of servings made altogether is

6 × 19 = 114

If her brother came and spilled half of it on the floor, then the number of servings that she have left after that for her party is

114/2 = 57 servings

7 0
3 years ago
Write the ratio as a fraction in simplest form. 27 to 72
Mademuasel [1]

Answer: The ration for 27:71, would be 3/8. Hope this helps!

4 0
3 years ago
A circular pond has a diameter of 4.5 feet.Which is closest to the circumference of the pond
Snowcat [4.5K]
Circumference = πD

Circumference of the pond = π(4.5) = 14.14 ft (nearest hundredth)

Answer: 14.14 ft
3 0
3 years ago
Read 2 more answers
3c+8=14 linear equation solve for variable​
slava [35]

Answer:

c=2

Step-by-step explanation:

3c+8=14

subtract 8 from both sides

3c=6

divide both sides by 3

c=2

3 0
3 years ago
Find −914+27. Write your answer as a fraction in simplest form.
vfiekz [6]

Answer:

- +=_

914-27=887

887 answer this fraction

5 0
3 years ago
Other questions:
  • 6x + 2 = 5x + 17, would there be one unique solution? What is it?
    5·2 answers
  • Rational and Irrational Numbers what is it explain
    13·2 answers
  • What are three equivalent ratio for 12/14
    10·2 answers
  • Three siblings are doing their washing and hanging all the items on the washing line.
    6·1 answer
  • The dimensions for a rectangular prism are x + 3 for the length, x + 2 for the width, and x for the height. What is the volume o
    12·1 answer
  • Which of the expression are equivalent to the one below? (10+8) x 2
    5·2 answers
  • Calculate the mean of 66,73,65,60​
    5·1 answer
  • Find the slope of the line from the table:
    11·1 answer
  • Translate the sentence into an inequality.<br> The sum of 5 and b is less than or equal to 16.
    14·2 answers
  • Katie spent m minutes practicing her trumpet on
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!