UY = 25
<em><u>hope </u></em><em><u>this </u></em><em><u>answer </u></em><em><u>helps </u></em><em><u>you </u></em><em><u>dear.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>take </u></em><em><u>care!</u></em>
<em><u>if </u></em><em><u>u </u></em><em><u>have </u></em><em><u>any </u></em><em><u>doubt </u></em><em><u>so </u></em><em><u>feel </u></em><em><u>free </u></em><em><u>to </u></em><em><u>ask!</u></em>
Answer:
1. (x + 2)² + (y - 9)² = 64
2. (x + 6)² + (y - 9/2)² = 100
3. (x - 15)² + (y + 10)² = 1
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
1. Center: (-2, 9), Radius: 8
(x - (-2))² + (y - 9)² = 8²
(x + 2)² + (y - 9)² = 64
2. Center: (-6, 9/2), Radius: 10
(x - (-6))² + (y - (9/2))² = 10²
(x + 6)² + (y - 9/2)² = 100
3. Center: (15, -10), Radius: 1
(x - 15)² + (y - (-10))² = 1²
(x - 15)² + (y + 10)² = 1
Bla-bla-bla bla-bla bla-bla-bla
Answer:
Step-by-step explanation:
Harvey rides his bike at an average speed of 12 miles in 1 hour, 24 miles in 2 hours, and so on. Let h be the number of hours he rides and d be distance traveled. Write the equation for the relationship between distance and time in point-slope form.
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You have three points relating time and distance:
(1,12),(2,24),(3,36)
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The slope for your equation would be (24-12)/(2-1) = 12/1 = 12
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The intercept is the distance you would travel in no time; that would be zero.
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The equation is: distance = 12(time)
d = 12t
Answer:27 pieces were sold at the original price.
63 pieces were sold at the new price
Step-by-step explanation:
Let x represent the number of pieces of pottery that was sold at the original price.
Let y represent the number of pieces of pottery that was sold at the new price.
They sold some of their pottery at the original price of $9.50 for each piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x
They later decreased the price of each piece by $2. This means that the new price was 9.5 - 2 = $7.5
This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y
If they sold all 90 pieces and took in $729, then the equations are
x + y = 90
9.5x + 7.5y = 729 - - - - - - - - - -1
Substituting x = 90 - y into equation 1, it becomes
9.5(90 - y) + 7.5y = 729
855 - 9.5y + 7.5y = 729
- 9.5y + 7.5y = 729 - 855
- 2y = - 126
y = - 126/- 2 = 63
Substituting y = 63 into x = 90 - y, it becomes
x = 90 - 63 = 27
