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jeyben [28]
3 years ago
14

How do I solve this and what’s the answer?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

Answer:

Mike can go 124 miles

Step-by-step explanation:

Car rent = $29.20

However, a customer has to pay $0.20 for every mile.

Mike has $54 to spend on the car for a day.

If he pays the car rent which is $29.20, then he has

$54 - $29.20 = $24.80 remaining

1 mile = $0.20

x miles = $24.80

By cross multiplication

0.20x = 1 * 24.80

x = 24.80/0.20

x = 124 miles

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\frac{2x^2}{3} =24

Step-by-step explanation:

times both sides by 3

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3 years ago
What is the equation of the circle with center (−3, 1) that passes through the point (−5, 3)?
Mariulka [41]

Answer:

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

Step-by-step explanation:

The equation of a circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( x , y) - any point on the circle

( a, b) - center of the circle

r^2 - radius of the circle

( -3 , 1) - center - ( a, b)

a = -3

b = 1

( -5 , 3) - point - ( x, y)

x = -5

y = 3

Step 1: substitute the center into the equation

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

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

Step 2 : sub the point into the equation

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

( -5 + 3)^2 + ( 3 - 1)^2 = r^2

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4 + 4 = r^2

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Therefore, the equation of the circle is

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