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GrogVix [38]
3 years ago
12

Why can you multiply or divide both terms of a ratio by the same number without changing the value of the ratio?

Mathematics
1 answer:
LiRa [457]3 years ago
5 0
3:4 = 6:8

\frac{3}{4} =  \frac{6}{8}


The same principle is used with fractions. The identity property of multiplication states that any number times 1 is the same number. Since \frac{2}{2} = 1, the fraction/ratio does not change in value.
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Write an equation for the line that is parallel to y = 2x + 6 and passes through (-1,5).
Fantom [35]

Answer:

y=2x+7

Step-by-step explanation:

A linear equation is typically organized in the form y=mx+b, where m is the slope of the line and b is the y-intercept (the y-coordinate of the point on the line that crosses the y-axis).

Parallel lines <em>always</em> have the same slope. When we examine the given equation, y=2x+6, we can identify immediately that 2 is in the place of m, the slope. This means that the slope of the line we're trying to solve for is also 2. So far, our equation looks like this:

y=2x+b

The last thing we need to calculate is b, the y-intercept. We can do this by plugging in the given point (-1,5) as x and y.

y=2x+b

5=2(-1)+b

5=-2+b

Add 2 to both sides to isolate b

5+2=-2+b+2

7=b

Now that we know b, we plug that into our original equation and now we have a final equation of:

y=2x+7

I hope this helps!

6 0
3 years ago
Maggie says if the expression was 12 divided by 3 to the 2nd power you would divide before simplifying is she right?
azamat

Answer:

No she is wrong 3 to the second power first

Step-by-step explanation:

5 0
3 years ago
Nicole purchased a container of cashews that weighs 5 kilograms. Zion purchased a container of cashews that weighs 4,900 grams.
Luda [366]

Answer:

100 grams

Step-by-step explanation:

5 kg= 5000 g.

5000-4900=100

4 0
2 years ago
A. 17 <br> B. 12<br> C. 10 <br> D. 14
Sonbull [250]
It might be A i think
3 0
3 years ago
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