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Virty [35]
2 years ago
12

The diameter of a circle has endpoints P(-6,-11 ) and Q(4, 7). Write an equation for the circle. Be sure to show and explain all

work. Thank you!
Mathematics
1 answer:
MrMuchimi2 years ago
7 0

Answer:

(x + 1)^2 + (y + 2)^2 = 106

Step-by-step explanation:

The formula for a circle is

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

Where (h, k) is the center of the circle and r is the raadius

--------------------------------------

The center is the midpoint of the diameter end points

(h, k) = ( (-6 + 4)/2 , (-11 + 7)/2 )

(h, k) = (-1, -2)

The radius is the distance from the center to an endpoint

Using (h, k) and Q

r^2 = (4 - -1)^2 + (7 - -2)^2

r^2 = 5^2 + 9^2

r^2 = 106

-------------------------------

Plug into the circle formula

(x + 1)^2 + (y + 2)^2 = 106

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Twenty times y is at most 100 in interval notation
DiKsa [7]

Answer:

y\in (-\infty ,5]

Step-by-step explanation:

In this problem, we need to write "Twenty times y is at most 100 in interval notation ".

20 times y means, 20y

Atmost means an inequality which is \le

ATQ,

20\times y\le 100

i.e.

20y\le 100\\\\y\le 5

We can also write it as :

y\in (-\infty ,5]

Hence, the required interval notation is y\in (-\infty ,5].

7 0
3 years ago
Write the sentence as an equation.<br> 16 equals 392 multiplied by k
Natasha2012 [34]

Answer:

The answer to your question is: <em>392</em><em> </em><em>×</em><em> </em><em>k</em><em> </em><em>=</em><em>16</em>

5 0
2 years ago
Carolyn swim 35 laps in 1/2 hour. How far will she swim in 4 hours? Please help.
NARA [144]
70 laps in 40 hours


1/2+1/2=4

35+35=70
I think
3 0
2 years ago
Read 2 more answers
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erica [24]

Answer:

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7 0
2 years ago
Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the sa
Svetllana [295]

Equations b,c, and e accurately represent this statement.

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The three equation accurately represents this statement is;

4.9 x-(-3) = 12.8

3+ 4.9 x = 12.8

12.8 = 4.9 x +3

Hence, equations b,c, and e accurately represent this statement.

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

6 0
2 years ago
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