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lions [1.4K]
3 years ago
6

Is the quotient of two rational numbers always a rational number? explain.

Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0

Answer:

yes because rational numbers can be written as a fraction

Step-by-step explanation:

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What is the equation of the line that passes through the point (-2, 7) and has a slope<br> of -2?
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y= -2+7

Step-by-step explanation:

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Is it possible to construct a triangle with the following sides length 10,10,10
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Please help me!!!
Kay [80]
A. Slope is defined by rise/run. It looks like the points where it intersects the axes are at (0, 6) and (2, 0)
Basically you take (y-y1)/(x-x1), which in this case could be (6-0)/(0-2), which is -3.
b. The perpendicular slope would be the negative inverse of that.
The inverse of 3 is 1/3, so the negative inverse of -3 would also be 1/3.
c. The parallel slope is the same as the original slope.
d. Plug these points in for y=mx+b. 
2=(1/3)(-1)+b
2=-1/3+b
b=7/3. (that's 2 and 1/3).
The equation for that line would be y=(1/3)x+(7/3)
e. The y intercept is found when x=0. But it's also the b in the y=mx+b equation, so the y intercept is (0, 7/3).

In case that's hard to read:
a. Slope = -3
b. Perpendicular Slope = 1/3
c. Parallel Slope = -3
d. y=(1/3)x+(7/3)
e. Y intercept = (0,, 7/3)

Hope that helps!

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3 years ago
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Answer:

1 inch = 0.3 miles

Step-by-step explanation:

We basically want to know how many miles in real life 1 inch on the map represents. We already know that 4 inches on the map corresponds to 1.2 miles in real life, but we need to find what 1 inch on the map corresponds to. Let's make a proportion:

\frac{4}{1.2} =\frac{1}{x}

Cross-multiply:

4x = 1.2

Divide by 4 from both sides:

x = 1.2/4 = 0.3

Thus, the scale is 1 inch = 0.3 miles.

Hope this helps!

6 0
3 years ago
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