All points along the circle with be the distance of the radius from the center...so the radius can be found using the Pythagorean Theorem..
r^2=(4-1)^2+(6-2)^2
r^2=9+16
r^2=25
r=5
The equation of the circle can be expressed as:
r^2=(x-h)^2+(y-k)^2 where (h,k) correspond to the center of the circle, (2,1) in this case.
(x-2)^2+(y-1)^2=25
if you wanted it in a more standard form...
(y-1)^2=25-(x-2)^2
(y-1)^2=25-x^2+4x-4
(y-1)^2=-x^2+4x+21
y-1=(-x^2+4x+21)^(1/2)
y=1(+/-)(-x^2+4x+21)^(1/2)
4/7 5/8 6/9 are some possible answers
So let x be the cost for board
12,584 = 1704+x+x
12,584 = 1704+2x
12,584 - 1704 = 2x
10,880 = 2x
10,880/2 = x
5,440 = x
So the turion cost is 1704 + x
Which is 1,704+5,440 = 7144
Answer:
x = 2
Step-by-step explanation:
<em><u>1. Combine multiplied terms into a single fraction</u></em>
<em><u>19.2 − 15 = 7.5 + 8.4</u></em>
<em><u>96/5 − 15 = 7.5x + 8.4</u></em>
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<u><em>2. Combine multiplied terms into a single fraction again</em></u>
<em><u>96/5 − 15 = 7.5x + 8.4</u></em>
<em><u>96/5 − 15 = 15x/2 + 8.4 </u></em>
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<em><u>3. Add 15 to both sides of the equation</u></em>
<u><em>96/5 − 15 = 15x/2 + 8.4 </em></u>
<u><em>96/5 − 15 + 15 = 15x/2 + 8.4 + 15</em></u>
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<u><em>4. Simplify</em></u>
- <u><em>Add the numbers</em></u>
<em> </em><u><em>96/5 = 15x/2 + 8.4 +1.5</em></u>
- <u><em>Add the numbers again</em></u>
<em> </em><u><em>96/5 = 15x/2 + 23.4</em></u>
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<u><em>5. Multiply all terms by the same value to eliminate fraction denominators</em></u>
<u><em>96/5 = 15x/2 + 23.4</em></u>
<u><em>2 x 5 x 96/5 = 2 x 5(15x/2 + 23.4)</em></u>
<u><em>7. solution</em></u>
<u><em>x=2</em></u>
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