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mote1985 [20]
3 years ago
8

Use the coordinates of the labeled point to find a point-slope equation of the line.

Mathematics
1 answer:
DerKrebs [107]3 years ago
8 0

Answer:

(-2,-5) (0,-1)

(-1+5)/(0+2)= 4/2= 2

y + 5 = 2(x + 2)

y + 5 = 2x + 4

y = 2x - 1

Step-by-step explanation:

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Mr. Capildeo's salary sfter a 5% increase was $6255 (a) calculage his salary if a 3% incrwae had been given instead (b) Calculat
n200080 [17]

Answer:

Original Salary: 5,957.14

Increase in 3%: 6,135.85

Step-by-step explanation:

So when something increases by x%, the new value is (100+x)% the original value. So 6255, is 105% the original value. This means to find the original value, we have to find the number that has 6255 as 105% of it's value. Whenever you try to find x% of a number, you multiply it by the decimal value of the percentage, which is found by dividing by 100. So to find x%, you do: o*\frac{x}{100} where o = original value, x=percent. In this case the percent is 105%, which when divided by 100 is 1.05. So this gives us the equation: o*1.05=6255 \implies o = \frac{6255}{1.05} = 5,957.14. This is his original salary. You need to do this process, do not make the mistake of subtracting 5% from 6255. This is because 5% of 6255 does not equal the 5% of the original value. 5% of 6255 should be greater than 5% of the original value, since the new value is an increase of 5%. So since we have his original salary, we can calculate the salary increase had it been 3%. to do this we multiply by 1.03 (103% divided by 100). This gives us the equation: 5,957.14*1.03=6,135.85

5 0
1 year ago
PLZ HELP! VERY URGENT!<br> A line passes through (6,3), (8,4), and (n,-2). Find the value of n.
Phantasy [73]

We have a line passing through 3 points. We can use the first
two points to find the equation of the line.
(6,3), (8,4)

slope m = (4-3)/(8-6) = 1/2

We can use the point slope form y-y1 = m(x-x1) or
the slope intercept form y = mx + b
to find the equation of the line.

Let's take the point (6,3) and use y = mx + b to find b
y = 3, x = 6, m = 1/2

3 = (1/2)(6) + b
3 = 3 + b
0 = b

The equation of our line is y = (1/2)x

We have a line of equation y = (1/2)x going through point (n,-2)

Plugging in we have: -2 = (1/2)n
2(-2) = n
-4 = n

Your answer is n = -4

NOTE: looking at the 3 points as given initially: (6,3), (8,4), (n,-2)
We can see that 3 = (1/2)6 and 4 = (1/2)8 so -2 = (1/2)n makes sense

Hope this helps you :)
5 0
3 years ago
Read 2 more answers
Find the length of the line joining the points A(-2,10) and B(-8,2)
Vesnalui [34]

Length of the line

= \sqrt{((-2)-(-8))^{2}+(10-2)^{2}  }

= \sqrt{36+64}

=\sqrt{100}

= 10

6 0
1 year ago
You use a tape measure to measure the dimensions of a canvas, as shown. Estimate the area of the
Kazeer [188]

2000 cm^2

Step-by-step explanation:

we simply round the dimensions of 50.8 cm to 50 cm and 40.6 cm to 40 cm, and we multiply 50*40 cm to get to 2000cm^2 (it is squared because this is area)

8 0
2 years ago
What's the expanded form for 79,031
Sonja [21]
70,000 + 9,000 + 30 + 1
5 0
3 years ago
Read 2 more answers
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