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3 years ago

What is the slope of a line parallel to the line -3x+5y=-10

Mathematics

2 answers:

lapo4ka [179]3 years ago

4 0

This looks familiar, right? Like slope-intercept.

y=mx+b, where m is the slope.

Let's right it like that.

5y=3x-10 (add 3x to both sides, since we want to isolate the y.)

Now divide by 5, since - again - we want to isolate the y.

y= 3/5x-10/5 >>>> y= 3/5x-2

I think the slope is 3/5.

If the line happens to be parallel, the slope is the same. If perpendicular, it is opposite reciprocal. So if it was perpendicular, the slope would be -5/3.

max2010maxim [7]3 years ago

3 0

The slope can be found re-writting the function in the general format s y=mx+n where m is known as slope. For this case:

-3x+5y=-10, trasponding the x term

5y=3x-10, dividing by 5

y=3x/5-10/5, solving finally have the general format:

y=3/5x-2

Then the slope is the number that precede the x unknow.

Solution. The slope is 3/5.

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Step-by-step explanation:

Let x represent the number of double rooms that were rented.

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A company has a budget of $280,000 for computing equipment. Tablets cost $500 each, laptops cost $2000 each, and servers cost $5

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Answer:

The number of tablets 200

the number of laptops 40

and, the number of servers 20

Step-by-step explanation:

Let the number of tablets be 'x'

the number of laptops be 'y'

and, the number of servers be 'z'

According to the given question

Total budget = $280,000

Tablets cost = $500 each

laptops cost = $2000 each

servers cost = $5000 each

Thus,

500x + 2000y + 5000z = 280,000 ..............(1)

also,

x = 5y ................(2)

and,

y = 2z

z = $\frac{\textup{y}}{\textup{2}}$ ............(3)

substituting y from 2 and 3 in equation 1, we get

(500 × 5y) + (2000 × y) + (5000 × $\frac{\textup{y}}{\textup{2}}$ ) = 280,000

2500y + 2000y + 2500y = 280,000

7000y = 280,000

y = 40

substituting y in equation 2, we get

x = 5 × 40 = 200

substituting y in equation 3 we get

z = $\frac{\textup{40}}{\textup{2}}$

z = 20

hence,

the number of tablets 200

the number of laptops 40

and, the number of servers 20

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