3 years ago

If the end points of the diameter of a circle are (9,4) and (5,2) what is the standard form equation of the circle

Mathematics

1 answer:

timurjin [86]3 years ago

6 0

Answer:

(x - 7)² + (y - 3)² = 5

Step-by-step explanation:

The center (h , k) is the midpoint of two end points of diameter

h = (9 + 5) / 2 = 7

k = (4 + 2) / 2 = 3

Equation of circle: (x - h)² + (y - k)² = r²

r = (√(9 - 5)² + (4 - 2)²) / 2 = √5

Equation: (x - 7)² + (y - 3)² = 5

You might be interested in

An arithmetic sequence is defined by the recursive formula t1 = 9, tn = tn - 1 - 4, where n ∈N and n > 1. The sequence is

VikaD [51]

T2 = t1 - 4 = 9 - 4 = 5
t3 = 5 - 4 = 1
The common difference = -4 so:-

The sequence is 9, 5, 1, -3, -7 ....

4 0

3 years ago

Complete the inequality statement.<br> 24 g_1,679 mg<br> оно<br> V

Darina [25.2K]

The answer is 24 grams > 1.679 grams

Hope this helps <3

5 0

2 years ago

Use the distributive property to simplify the expression. 1/2 (2n + 4 + 6m)

solmaris [256]

Answer:

1n+2+3m

Step-by-step explanation:

1/2(2n+4+6m) Distributive property

2/2n+4/2+6/2m Simplify

1n+2+3m

6 0

2 years ago

Chitra has 8 4/5 room

ycow [4]

Answer:

She can paint 4 rooms.

Step-by-step explanation:

$8\dfrac{4}{5} \div 2\dfrac{1}{5}=\dfrac{(8\times 5+4) \times 5}{5 \times (2\times 5 + 1)}=\dfrac{44}{11}=4$

8 0

3 years ago

A pet store has two tanks of tropical fish. The first tank contains 5 blue fish and 2 yellow fish and the second tank contains 7

umka21 [38]

Answer:

It would be B

Step-by-step explanation:

You need to add them both together and then once you do that divide everything and you'll get the answer of b.

3 0

3 years ago