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3 years ago

write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4)

Mathematics

1 answer:

dmitriy555 [2]3 years ago

4 0

Answer:

Step-by-step explanation:

radius=4 as it is tangent to x-axis.

y co-ordinate of center is 4 so radius=4

eq. of circle is (x-2)²+(y-4)²=4²

or x²-4x+4+y²-8y+16=16

or x²+y²-4x-8y+4=0

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I need help this is due tomorrow and I have to write an essay so please help!!!

HACTEHA [7]

2.) 6k - 9
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4 0

3 years ago

Find the surface area of the cylinder. radius of 6. height of 7.

Sauron [17]

Answer:

SA = 156π

Step-by-step explanation:

The formula for surface area of a cylinder is

SA = 2πr² + 2πrh where r is the base radius, and h is the height.

We are given r = 6 and h = 7. Plug in those values and evaluate...

SA = 2π(6²) + 2π(6)(7)

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3 0

3 years ago

Read 2 more answers

Find the average velocity of the function over the given interval.

snow_lady [41]

Answer:

Average velocity of the function over the given interval

= $log(\frac{7}{4} ) -2$

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given function y = 3/x -2 ...(i)

The average velocity of the function over the given interval

Average velocity = $\frac{1}{b-a} \int\limits^b_a {(\frac{3}{x} -2)} \, dx$

= $\frac{1}{7-4} \int\limits^7_4 {(\frac{3}{x} -2)} \, dx$

now integrating

= $\frac{1}{3}( \int\limits^7_4 {(\frac{3}{x} )} \, dx-2\int\limits^7_4 {1} \, dx )$

= $\frac{1}{3} (3 (log x) - 2 x )_{4} ^{7}$

= $\frac{1}{3}( (3 (log 7) - 14 )-(3 log 4 -8))$

by using formulas

log a-log b = log(a/b)

on simplification , we get

= $\frac{1}{3}( (3 (log 7) -3 log 4 ) - \frac{1}{3} (6)$

= $log(\frac{7}{4} ) -2$

Average velocity of the function over the given interval

= $log(\frac{7}{4} ) -2$

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3 years ago

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kirill115 [55]

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3 years ago

Write an equation parallel to y=3x−1 y=3x−1 and goes through the point (-2, -13)

Lena [83]

Answer:

y=3x-(-2,-13)

Step-by-step explanation:

3 0

3 years ago

write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4)​

write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4)