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Firdavs [7]
2 years ago
14

Help please!!! asap! 10 points!

Mathematics
1 answer:
Anna11 [10]2 years ago
5 0

Answer:

Fr^2/Gm_2=m_1

Step-by-step explanation:

What you do first is you have to cross-multiply so f*r^2 and 1*gm_1m_2 to get

Fr^2=Gm_1m_2. Next you will divide Gm_2 from both sides to get

Fr^2/Gm_2=m_1 as your answer.

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A line passes through the point (–2, 7) and has a slope of –5. What is the value of a if the point (a, 2) is also on the line?
never [62]
(x1,y1) = (-2,7)
m = -5
(x,y) = (a,2)

Forming the equation,
(y-y1) = m(x-x1)
y - 7 = -5[x - (-2)]
y - 7 = -5x - 10
y + 5x = -3

Putting the values of (x,y) we get,
2 + 5a = -3
5a = -5
a = -1
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3 years ago
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Write an equation of a line (in standard form) that has the same slope as the line 3x-5y=7 and the same y-intercept as the line
Vanyuwa [196]

Answer:

3x-5y=-20

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.

3x-5y=7 has the same slope as the line. Let's convert.

3x-5y=7\\3x-3x-5y=7-3x\\-5y=7-3x\\\frac{-5y}{-5}=\frac{7-3x}{-5} \\

y=\frac{3}{5}x -\frac{7}{5}

The slope is m=\frac{3}{5}.

2y-9x=8 has the same y-intercept as the line. Let's convert.

2y-9x=8\\2y-9x+9x=8+9x\\2y=8+9x\\\frac{2y}{2}=\frac{8+9x}{2}

y=\frac{8}{2}+\frac{9x}{2}  \\y=4+\frac{9}{2}x

The y-intercept is 4.

We take m=\frac{3}{5} and b=4 and substitute into y=mx+b.

y=\frac{3}{5}x+4

We now convert to standard form.

-\frac{3}{5}x+y=\frac{3}{5}x-\frac{3}{5}x+4\\-\frac{3}{5}x+y=4

For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.

-5(-\frac{3}{5}x+y=4)\\3x-5y=-20



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2 years ago
For questions 20 through 23, use the graph below.
spayn [35]

Answer:

20) yes

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Step-by-step explanation:

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