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3 years ago

The line 5y−6x−10=0 is given. Write the equation in slope-intercept form.

Mathematics

2 answers:

Aleksandr-060686 [28]3 years ago

8 0

Answer:

y = (6/5)x + 2

Step-by-step explanation:

5y−6x−10=0

5y = 6x + 10

y = (6/5)x + 10/5

y = (6/5)x + 2

alexandr402 [8]3 years ago

5 0

Answer:

y = 6/5x +2

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

5y−6x−10=0

Add 10 to each side

5y−6x−10+10=0+10

5y -6x = 10

Add 6x to each side

5y-6x+6x=6x+10

5y = 6x+10

Divide each side by 5

5y/5 = 6x/5 +10/5

y = 6/5x +2

The slope is 6/5 and the y intercept is 2

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Step-by-step explanation:

The formula of the nth term in the arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

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∵ The first term of an arithmetic sequence is equal to four

∴ a = 4

∵ The common difference is equal to three

∴ d = 3

- Substitute these values in the rule of the nth term

∵ $a_{n}=a+(n-1)d$

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Isabel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $46 and costs an a

zaharov [31]

The missing part of the question is "For what amount of driving do the two plans cost the same"

The amount of driving that do the two plans cost the same is 450 miles

Step-by-step explanation:

Isabel will rent a car for the weekend. She can choose one of two plans

The first plan has an initial fee of $46 and costs an additional $0.13 per mile driven
The second plan has an initial fee of $55 and costs an additional $0.11 per mile driven

We need to find for what amount of driving do the two plans cost the same

Assume that she will drive for d miles

The first plan:

∵ The initial fee is $46

∵ The additional cost is 0.13 per mile

∵ She will drive for d miles

- The cost of her trip is the sum of $46 and the product of

0.13 and d

∴ The cost = 46 + 0.13 d ⇒ (1)

The second plan:

∵ The initial fee is $55

∵ The additional cost is 0.11 per mile

∵ She will drive for d miles

- The cost of her trip is the sum of $55 and the product of

0.11 and d

∴ The cost = 55 + 0.11 d ⇒ (2)

∵ The cost of the two plans is the same

- Equate (1) and (2) to find d

∴ 46 + 0.13 d = 55 + 0.11 d

- Subtract 46 from both sides

∴ 0.13 d = 0.11 d + 9

- Subtract 0.11 d from both sides

∴ 0.02 d = 9

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The amount of driving that do the two plans cost the same is 450 miles

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