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prisoha [69]
3 years ago
11

a circle with center (1,5) passes through the point (10,10). what is the area of the circle rounded to the nearest square unit?

Mathematics
1 answer:
alina1380 [7]3 years ago
6 0
The points of the circle satisfy the equation
.. (x -1)^2 +(y -5)^2 = r^2
Filling in the given information, we can find r^2.
.. (10 -1)^2 +(10 -5)^2 = r^2
.. 81 +25 = r^2 = 106

The area of the circle is
.. A = πr^2 = 106π ≈ 333 . . . . square units
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Point C is the Image of C (-4,-2) under a Reflection across the x-axis.
Svetradugi [14.3K]

Step-by-step explanation:

\text {Reflection Rule for across the X-axis: } (x,y) \rightarrow (x,-y)

Using the point C (-4,-2) and the refection rule:

(-4,-2) \rightarrow(-4, 2)

\text {C' should be (-4,2)}

8 0
3 years ago
Jane spent 3 hours exploring a mountain with a dirt bike. First, she rode 55 miles uphill. After she reached the peak she rode f
Neko [114]

Answer:

Her speed on the summit was 35 mph.

Step-by-step explanation:

Her speed on the summit was "x" mph while her speed while climbing was "x - 10" mph. The distance she rode uphill was 55 miles and on the summit it was 28 miles. The total time she explored the mountain was 3 hours. Therefore:

time uphill = distance uphill / speed uphill = 55 / (x - 10)

time summit = distance summit / speed summit = 28 / x

total time = time uphill + time summit

3 = [55 / (x - 10)] + 28 / x

3 = [55*x + 28*(x - 10)]/[x*(x - 10)]

3*x*(x - 10) = 55*x + 28*x - 280

3x² - 30*x = 83*x - 280

3x²  - 113*x + 280 = 0

x1 = {-(-113) + sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 35 mph

x2 = {-(-113) - sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 2.67 mph

Since her speed on the uphill couldn't be negative the speed on the summit can only be 35 mph.

6 0
3 years ago
Can you show in a visual way ? Like graph or table ?
denpristay [2]

Answer:

Yes

Step-by-step explanation:

Just respond if you have a question

7 0
3 years ago
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Alekssandra [29.7K]

Answer:

The answer would be A

Step-by-step explanation:

a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.

7 0
2 years ago
What is the percent of change from 4,000 to 7,000​
tiny-mole [99]

Answer:

(7000-4000) will make 4000x100 =

(7000:4000-1)x100 =

175-100 = 75

the percentage increase from 4000 to 7000 by 75%

5 0
3 years ago
Read 2 more answers
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