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2 years ago

8

The endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

2 answers:

77julia77 [94]2 years ago

8 0

Answer:

The center of the circle is at the point ? , and its radius is 2.5 units. The equation of this circle in standard form is (x - 4)² + (y - 8)² = 6.25.

Step-by-step explanation:

In-s [12.5K]2 years ago

5 0

The longest chord on the circle is the diameter, and the center of the circle is the midpoint of the diameter.

Use the midpoint formula to find the center
((x1 +x2)/2 , (y1+y2)/2).. Just substitute them for the solution

the x-coordinates are the same, so you can just subtract the y-coordinates to find the radius.
10.5 - 8 = 2.5

The equation of the circle is (x - h)² + (y - k)² = r² where r is the radius and (h, k) is the center.

(x - 4)² + (y - 8)² = 6.25

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Vadim26 [7]

Answer:

$\displaystyle D) {x}^{5} + \rm C$

Step-by-step explanation:

we would like to integrate the following Integral:

$\displaystyle \int 5 {x}^{4} \, dx$

well, to get the constant we can consider the following Integration rule:

$\displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx$

therefore,

$\displaystyle 5\int {x}^{4} \, dx$

recall exponent integration rule:

$\displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1}$

so let,

$n = 4$

Thus integrate:

$\displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)$

simplify addition:

$\displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)$

reduce fraction:

$\displaystyle = {x}^{5}$

finally we of course have to add the constant of integration:

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hence,

our answer is D)

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Shtirlitz [24]

Answer:

easy peasy

Step-by-step explanation:

u see,

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