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Zina [86]
3 years ago
13

Graph the circle (x- 1)2 + (y + 4) = 25.

Mathematics
1 answer:
kati45 [8]3 years ago
3 0

Answer:

See attachment for graph

Step-by-step explanation:

Given

(x- 1)^2 + (y + 4)^2= 25

Required

Graph the circle

First, we express the equation as:

(x- h)^2 + (y -k)^2= r^2

Where:

Center = (h,k)

Radius = r

So, we have:

(x- 1)^2 + (y + 4)^2= 25

(x- 1)^2 + (y - (-4))^2= 5^2

Compare the above to: (x- h)^2 + (y -k)^2= r^2

(h,k) = (1,-4)

r = 5

So, the center and the radius will be plotted.

See attachment for graph

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What is the surface area of the figure? 408ft^2 458ft^2 545ft^2 720ft^2
ser-zykov [4K]

9514 1404 393

Answer:

  (b)  458 ft²

Step-by-step explanation:

The total area is the sum of the L-shaped front and back areas and the areas of the 6 rectangular faces.

The front L-shaped area can be considered to be a 12 ft × 12 ft square with a 5 ft × 7 ft rectangle cut from the upper left corner. Its area is then ...

  (12 ft)(12 ft) -(5 ft)(7 ft) = (144 -35) ft² = 109 ft² . . . . front area

__

The sum of the areas of the rectangular faces is the product of the width of the figure (5 ft) and the perimeter of the L-shaped face. That perimeter is the sum of the edge lengths. Starting from the lower-left corner and working clockwise, we find the perimeter to be ...

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Then the sum of rectangular face areas is ...

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The total surface area is then ...

  2×front area + rectangular face area

  = 2×109 ft² +240 ft² = 458 ft² . . . . total surface area

3 0
3 years ago
Please help!
ollegr [7]
The possible value of b is:
-ax + 12x + 32 /over/ a + x
6 0
3 years ago
Please help me out with how to solve this
ikadub [295]

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Answer:

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Step-by-step explanation:

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The score of 34 is below that value, so it is the one that will be dropped.

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4 0
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Over the past ten years, the town's population doubled in size. The population is currently 12,000. What was the population ten
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Answer:

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Step-by-step explanation:

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