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Serhud [2]
3 years ago
10

The local service center advertises that it charges a flat

Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0
8 is slope 50 is y-intercept
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Write in slope intercept form of the equation of a line passing through (-1,4) and perpendicular to y=x-5.
andrew11 [14]

Answer:

y=-x+3

Step-by-step explanation:

The general slope-intercept equation of a line is y=mx+b where m is the slope and b represents the y intercept. y and x are simply a point the line passes through. In this case, y=x-5, meaning m=1 and b=-5.

In order to find the perpendicular slope, we should take the current slope's <u>negative reciprocal</u>. We have:

-\frac{1}{1} =\\-1

Therefore, our perpendicular slope is -1. We now have equation:

y=-x+b

We can plug in the known values of the point (-1,4) to solve for b.

4=(-1)*(-1)+b\\4=1+b\\b=3

If we now put what we found together, we have equation

y=-x+3

<em>I hope this helps! Let me know if you have any further questions :)</em>

7 0
3 years ago
The hemmings borrowed $3 000 for home improvements. They repaid the loan and $600 in simple interest four years later. What simp
Ipatiy [6.2K]

Answer:

5%

Step-by-step explanation:

Given that:

Principal = $3000

Simple Interest paid = $600

Period = 4 years

Simple interest = principal * rate * time

$600 = $3000 * rate * 4

$600 = $12000 * rate

Rate = $600 /$12000

Rate = 0.05

Hence, simple interest rate paid = (0.05 * 100%) = 5%

4 0
2 years ago
A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records
ra1l [238]

Answer:

35 red marbles

Step-by-step explanation:

So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.

6 0
2 years ago
Read 2 more answers
What smallest prime factor of 12?
gregori [183]
2 is the smallest prime factor of 12. 12 can evenly be divided by 2 so that makes 2 the smallest prime factor of 12.
7 0
2 years ago
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0.0057 in scientific notation
Gelneren [198K]

Answer:

5.7*10^-3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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