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Bumek [7]
3 years ago
10

Determine if the lines are parallel, perpendicular, or neither 10x+5y=-5 and y=-2x+6

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0
If they are parallel they will have the same slope , m

So in y = mx + c, if there are two equations which both have the same m value they will be parallel.
If the lines are perpendicular they'll have slopes like this: 1/2 to -2/1 - where they flip and a negative gets added.

In the equations: 10x + 5y = -5 , and y = -2x + 6
We can rearrange 10x + 5y = -5 to be in the form y = mx + c
10x + 5y = -5
5y = -5 - 10x
y = -1 - 2x
y = -2x - 1

Since y = -2x - 1 and y = -2x + 6 both have the same slope of -2 they are parallel!

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sladkih [1.3K]
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A campus radio station surveyed 500 students to determine the types of music they like. the survey revealed that 199 like rock,
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6 0
2 years ago
Find the interest earned and the future value of an annuity with quarterly payments of $600 for 8 years into an account that pay
iVinArrow [24]

Answer:

interest earned= 292.878

the future value of an annuity= 892.878

Step-by-step explanation:

Given Data:

Interest rate= 5%

time,t = 8 years

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n= 4 as quarterly

At the end of 8 years, final investment A= ?

As per the interest formula

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= 600(1+0.05/4)^32

= 892.878

Interest earned = A-P

                          = 892.878-600

                          = 292.878 !

3 0
3 years ago
The measures of the angles of a triangle are in the ratio 2:3:4. In degrees, the measure of the largest angle of the triangle is
notsponge [240]
Since the three angles of a triangle add to give 180°

The the size of the largest angle 4 = 180° × \frac{4}{2+3+4}
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∴ the size of the largest angle = 80°
8 0
3 years ago
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