<span>x² +y² -4x -6y +8=0
(x² -4x) +(y² -6y) = -8
We are going to complete square for x and y,
it should look like a²+2ab+b² = (a +b)², or </span>a²-2ab+b² = (a -b)²,
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(x²-2*2x+2²) -2² + (y²-2*3y +3²)-3²=- 8
(x-2)²+(y-3)²-4-9=-8
</span>(x-2)²+(y-3)²=-8+13
(x-2)²+(y-3)²=5
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Formula a circle (x-h)²+(y-k)²=R², where vertex has coordinates (h, k)
So , for our circle vertex (2,3) and radius = </span>√5<span>
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6 is already a whole number so that stays the same and the decimal given is .25 which is a quarter and which as a fraction can be written as 1/4 so the answer is 6 1/4
Answer:
7/25
Step-by-step explanation:
First we need to determine how many total marbles
9blue+7red+4green+5purple = 25 marbles
P(red) = red/total
= 7/25
There was inertia in the soccer ball from your foot, I can’t really tell if this is a math question or a science question but basically the soccer ball was in motion and now isn’t and your foot was what provided that motion