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3 years ago

3x + 5y = 500 solve the equation for x

Mathematics

1 answer:

Fudgin [204]3 years ago

4 0

It’s x = 500-5y hope it helps!
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3

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The equation of circle having a diameter with endpoints (-3, 1) and (5, 7) is

nydimaria [60]

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

The center is the midpoint of the diameter.
$(-3,1) \\
x_1=-3 \\ y_1=1 \\ \\
(5,7) \\
x_2=5 \\ y_2=7 \\ \\
\hbox{the midpoint: } (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\
\frac{x_1+x_2}{2}=\frac{-3+5}{2}=\frac{2}{2}=1 \\
\frac{y_1_y_2}{2}=\frac{1+7}{2}=\frac{8}{2}=4 \\
\Downarrow \\
(1,4) \\ h=1 \\ k=4$

The radius is half the diameter, or the distance from one of the endpoints to the center.
$r=\sqrt{(x_1-h)^2+(y_1-k)^2}=\sqrt{(-3-1)^2+(1-4)^2}=\\
=\sqrt{(-4)^2+(-3)^2}=\sqrt{16+9}=\sqrt{25}=5 \\ \Downarrow \\
r^2=5^2=25$

The equation of the circle:
$\boxed{(x-1)^2+(y-4)^2=25}$

8 0

3 years ago

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Could someone help me, please :(

Triss [41]

Answer: $\boldsymbol{-7}m + \boldsymbol{\frac{8}{5}}$

Work Shown:

$-\frac{2}{5}(15m-4)-m\\\\-\frac{2}{5}(15m)-\frac{2}{5}(-4)-m\\\\-6m+\frac{8}{5}-m\\\\\boldsymbol{-7}m + \boldsymbol{\frac{8}{5}}$

Therefore -7 goes in the first box, and $\boldsymbol{\frac{8}{5}}$ goes in the second box.

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3 years ago

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(9 • 27)^1/2 A.) 9 B.)3radical3 C.) 9radical3 D.)27

kobusy [5.1K]

$(9 \times 27)^ \frac{1}{2} = \sqrt{9 \times 27} = \sqrt{9 \times 3 \times 9} = 9 \sqrt{3}$

Answer: 9√3

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4 years ago

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Mrrafil [7]

Answer:

the second one

Step-by-step explanation:

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3 years ago

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kirill [66]

Answer:

C. The typical value is greater in set . The spread is greater in set A.

Step-by-step explanation:

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