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Artist 52 [7]
2 years ago
5

Are the two ratios equivalent? 6:21 and 8:28 Explain.​

Mathematics
1 answer:
Leviafan [203]2 years ago
8 0

Answer:

The two ratios are equivalent.

Step-by-step explanation:

Reduce both fractions:

6/21 = 2/7  [Take out 3 from both sides]

8/28 = 2/7  [Take out 4 from both sides]

2/7 = 2/7

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We are required to compare the magnitude for two earthquake intensity:
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thus the ratio of the intensity will be:
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~2 
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3 years ago
Please explain this step by step.<br><br> 5+4(n+9)=-3
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Answer:

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Step-by-step explanation:

5 + 4(n + 9) = -3,

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The given line passes through the points and (-4, -3) and (4, 1).
Debora [2.8K]

Answer:

The equation of the line is y - 3 = -2(x + 4)

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line which passes through the points (x1 , y1) and

  (x2 , y2) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

- The product of the slopes of the perpendicular lines = -1

- That means if the slope of a line is m then the slope of the

  perpendicular line to this line is -1/m

- The point-slope of the equation is y - y_{1}=m(x - x_{1})

* lets solve the problem

∵ A given line passes through points (-4 , -3) and (4 , 1)

∴ x1 = -4 , x2 = 4 and y1 = -3 , y2 = 1

∴ The slope of the line m=\frac{1-(-3)}{4-(-4)}=\frac{1+3}{4+4}=\frac{4}{8}=\frac{1}{2}

- The slope of the line perpendicular to this line is -1/m

∵ m = 1/2

∴ The slope of the perpendicular line is -2

- Lets find the equation of the line whose slope is -2 and passes

 through point (-4 , 3)

∵ x1 = -4 , y1 = 3

∵ m = -2

∵ y - y1 = m(x - x1)

∴ y - 3 = -2(x - (-4))

∴ y - 3 = -2(x + 4)

* The equation of the line is y - 3 = -2(x + 4)

4 0
3 years ago
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