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Zolol [24]
3 years ago
12

Identify the equation of the circle that has its center at (-16,30) and passes through the origin

Mathematics
1 answer:
dangina [55]3 years ago
3 0

Answer:

(x+16)²+(y-30)²=1156

Step-by-step explanation:

We have given:

center at (-16,30). It means h = -16 and k=30

and it passes through the origin (0,0)

Thus the  radius will be distance between (-16,30) and (0,0)

r=√(-16 - 0)²+(30-0)²

r=√256+900

r²=(√1156)²

r²=1156

Now apply standard equation of circle:

(x-h)²+(y-k)² = r²

(x+16)²+(y-30)²=1156

Thus the equation is (x+16)²+(y-30)²=1156 ....

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What is the product of 3.45 x<br> (1.93 x 10^4)
V125BC [204]

Answer:

66,585

Step-by-step explanation:

First, solve 10^4, which is 10,000. Then, do 1.93x10,000 and get 19300. Finally, multiply 19300 by 3.45 to get 66,585.

Always use pemdas and hope this helped!

6 0
2 years ago
How to solve5n-16-8n=-10 step by step
Aleksandr [31]

Answer:

n=-2

Step-by-step explanation:

answers are shown and pictured

5 0
4 years ago
Karen plans to drive to a national park that is 582.8 miles away her car gets 23.5 miles on 1 gallon of gasoline gasoline cost $
NARA [144]

Answer: The correct answer is $85.56

Step-by-step explanation:

If Karen gets 23.5 miles per one gallon of gas, we divide 582.8 miles by 23.5 to see how many gallons she will use to go the 582.8 miles. The answer is 24.8 gallons. (582.8/23.5=24.8)

We then multiply 24.8 ( the total amount of gallons) x $3.45 (per gallon)= $85.56 for the entire trip

3 0
3 years ago
Write as a decimal<br> A) 407 tenths <br> B) 209 hundredths
castortr0y [4]

Answer:- A) 407 tenths =40.7

B) 209 hundredths=2.09


Explanation:-

We know that one tenth=\frac{1}{10} and one hundredth =\frac{1}{100}

A) 407 tenths

=\frac{407}{10}=40.7

Thus decimal form of 407 tenths is 40.7.

B) 209 hundredths

=\frac{209}{100}=2.09

Thus decimal form of 209 hundredth is 2.09.

4 0
3 years ago
Read 2 more answers
Y=6x 2x+3y=-20. (Solving by substitution)
almond37 [142]
Y=6x, 2x+3y=-20
Substitution means just plugging in another equation equal to a single variable in order to solve for the other variable, and then the first. In this case, the equation being plugged in is y=6x, so 6x will be put in place of y in the equation 2x+3y=-20.
2x+3(6x)=-20
2x+18x=-20
20x=-20
x=-1
And then x=-1 can be plugged into the original equation to find y. (And, if you wish, into the y= equation to check it.)
2(-1)+3y=-20
-2+3y=-20
3y=-20+2
3y=-18
y=-6
And to check it, we plug the two into the original y= equation.
y=6x
-6=6(-1)
-6=-6
They are equal, so both check out.
x=-1, y=-6
7 0
3 years ago
Read 2 more answers
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