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Fed [463]
3 years ago
6

What is the equation of the circle if the center is (-4,10) and radius of 7

Mathematics
2 answers:
natulia [17]3 years ago
8 0
The answer will be -2
kvv77 [185]3 years ago
3 0

Answer:

(x+4)^2+(y-10)^2=49

Step-by-step explanation:

The standard equation of a circle is

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

where the center is (h,k) and r is the radius

so in this case h=-4, k=10, r=7

then we just plug them in

(x- -4)^2+(y-10)^2=7^2

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Find the total area for the regular pyramid. T.A. xxx(sqr) + xx (sqr)x
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We are to solve the total area of the pyramid and this can be done through area addition. We first determine the area of the base using the Heron's formula.
                           A = √(s)(s - a)(s - b)(s - c)
where s is the semi-perimeter
                                 s = (a + b + c) / 2
 Substituting for the base,
                               s = (12 + 12 + 12)/ 2 = 18
                          A = (√(18)(18 - 12)(18 - 12)(18 - 12) = 62.35
Then, we note that the faces are just the same, so one of these will have an area of,
                                s = (10 + 10 + 12) / 2 = 16
                                  A = √(16)(16 - 12)(16 - 10)(16 - 10) = 48
Multiplying this by 3 (because there are 3 faces with these dimensions, we get 144. Finally, adding the area of the base,
                          total area = 144 + 62.35 = 206.35
5 0
2 years ago
What equation represents a line that passes through (4,1/3) and has a slope of 3/4
AysviL [449]
\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{\frac{1}{3}})
\qquad \qquad \qquad \qquad 
% slope  = m
slope =  m\implies \cfrac{3}{4}
\\\\\\
% point-slope intercept
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\\\\\\
y=\cfrac{3}{4}x-3+\cfrac{1}{3}\implies y=\cfrac{3}{4}x-\cfrac{8}{3}
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Answer:

Step-by-step explanation:

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