Answer:
inside
Step-by-step explanation:
All of the points on the circle are at distance 25 units from the center. If the questionable point is closer to the center than that, it is inside the circle.
The distance formula can be used.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((5 -(-5))^2 +(-24 -(-8))^2) = √(10^2 +(-16)^2) = √(100 +256) = √356
d ≈ 18.9
The point (5, -24) is inside the circle centered at (-5, -8) with radius 25.
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The equation of the circle is equivalent to d=25 using (x1, y1) as the center. It is usually written without the radical:
(x -(-5))^2 +(y -(-8))^2 = 25^2
(x +5)^2 +(y +8)^2 = 625
Answer: NEED THE QUESTION FIRST
Step-by-step explanation:
Answer:
x = cost of games bowled = $6
y = cost of shoe rental = $4.50
Step-by-step explanation:
Let
x = cost of games bowled
y = cost of shoe rental
2x + y = 16.50 (1)
4x + y = 28.50 (2)
Subtract (1) from (2) to eliminate y
4x - 2x = 28.50 - 16.50
2x = 12
x = 12/2
x = 6
Substitute x = 6 into (1)
2x + y = 16.50 (1)
2(6) + y = 16.50
12 + y = 16.50
y = 16.50 - 12
y = 4.50
x = cost of games bowled = $6
y = cost of shoe rental = $4.50
Answer:
Part (A) Factored using GCF is: 2(x² + 2) → (GCF is 2)
Part (B) Factored using GCF is: 2x³(3x-1) → (GCF is 2x³)
Step-by-step explanation:
Greatest Common Factor or GCF, is whichever value that fits into both terms. For example if you have 2, 4, and 6, 2 is the biggest value that fits into all 4 terms.
To factor using GCF, simply find the GCF of both terms, and take it out, then multiply what you have remaining by whatever the GCF is.
Answer:
89 milliliters liquid was in the container before George added more .
Step-by-step explanation:
Let us assume that the liquid was in the container before George added more be x .
As given
George's container was partially full.
Then he added 177 milliliters more liquid to the container.
Now the container has a total of 266 milliliters of liquid.
Than the equation becomes
liquid was in the container before George added more + liquid added = Total liquid in the container
Putting all the values in the above
x + 177 = 266
x = 266 - 177
x = 89 milliliters
Therefore 89 milliliters liquid was in the container before George added more .
