What is the equation of the line that passes through (4, -1) and (-2, 3)?

Mathematics

2 answers:

mel-nik [20]3 years ago

8 0

-4=b
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mylen [45]3 years ago

6 0

Okay so the line with slope (m)=2/3 and that passes through the point (0,-4). Putting these values into the slope-intercept form of a line we get:
-4=2%2F3%2A0%2Bb
-4=b

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There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow

Ivanshal [37]

If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

$\frac{8yellow}{20total} = \frac{Xyellow}{100total}$

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

$\frac{8yellow}{20total} = \frac{Xyellow}{100total} \\ 8yellow*100total=20total*Xyellow$

Finally, solve for x:

$8yellow*100total=20total*Xyellow \\ 8*100=20*x \\ 800=20x \\ 800/20=20x/20 \\ x=40yellow$

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!

6 0

3 years ago

(2x^2)^-4 how to solve this problem

Alinara [238K]

when you simplify this you get 1/16x^8

3 0

3 years ago

Please help dhshajgsfge

e-lub [12.9K]

1/8

Explanation: There is 8 isle seats and it says what if one person would want to sit in ONE of the isle seats 1:person 8:seats
1/8

4 0

3 years ago