A circle in the XY-plane has center (5, 7) and radius 2. Which of the following is an equation of the circle?

Mathematics

1 answer:

MAXImum [283]3 years ago

6 0

Answer: A, because the equation of a circle is $(x-h)^2+(y-k)^2=r^2$ . So, if the point of the center is $(5,7)$ and the radius $2$ , then on the equation should be changed as negative and the radius should be multiplied as $4$ , which is $(x-5)^2+(y-7)^2=4$

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The admission to the fair is $5 and the cost per ride is 50 cents. If his parents give hime $20, write and solve a linear equati

solniwko [45]

Answer:

Step-by-step explanation:

The admission to the fair is $5 and the cost per ride is 50 cents.

Let the number of rides that he can go on be x

If one ride costs 50 cents, x rides will cost 50×x = 50x cents. Converting 50 cents to dollar, it becomes 50/100 = $0.5.

So x rides will cost $0.5x

If his parents gave him $20, he will pay $5 to be admitted into the fair. He would be left with 20- 5 = $15

The equation to find how many rides he can go on will be

0.5x = 15

Since one ride costs $0.5

x rides cost $15

x = 15/0.5 = 30

He can go on 30 rides

8 0

3 years ago

Can someone help plz

olchik [2.2K]

Answer:

A.) 2x - 9x - 30 = -6

Step-by-step explanation:

hello !

to solve this system of equations, first, we substitute the equation $y = 3x + 10$ to the <em>y </em>variable in the equation $2x-3y = -6$ . Therefore, we get: