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Gelneren [198K]
3 years ago
12

Find the equation of the line that goes through (2,4) and has a slope of -2

Mathematics
1 answer:
AleksAgata [21]3 years ago
3 0

Answer:

y=-2x+8

Step-by-step explanation:

y-y1=m(x-x1)

y-4=-2(x-2)

y-4=-2x+4

y=-2x+4+4

y=-2x+8

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Herman Melville had worked at the University Medical Center for 20 years when he became permanently disabled while at work. He c
lidiya [134]

Answer:

Herman Melville's annual disability benefit is $46,114.8

Step-by-step explanation:

Given the data in the question;

Herman Melville is 55 years, worked for 20 years, planned to retire in the next 10 years i.e at the age of 65.

so since he planned to work for the next 10 years;

total duration of work will be; ( 20 + 10) years = 30 years

Average salary per year = $76,908

Total salary in 30 years will be; $76,908 × 30 = $2,307,240

Hospital rate benefits = 2%

So, total annual disability benefit will be;

⇒ 2% of Total salary in 30 years

⇒ 2/100 × $2,307,240

= $46,114.8

Therefore, Herman Melville's annual disability benefit is $46,114.8

4 0
3 years ago
ABCDEFGHIJKLMNOPQRSTUVWXYZ
ExtremeBDS [4]

Answer:

ABCDEFGHIJKLMNOPQRSTUVWXYZ

5 0
2 years ago
Michelle ordered 200 t shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total order for shipping.
kap26 [50]

Answer:

12.75 dollars

Step-by-step explanation:

5% = 2.94$

150% = 7$

2.80 + 5% + 150% = 12.75 for each t-shirt she sale

5 0
3 years ago
Graph the image of the figure after a dilation with a scale factor of 3 centered at (2,−7) . Use the Polygon tool to graph the q
Luba_88 [7]

Answer:

  see attached

Step-by-step explanation:

Each point moves 3 times the distance from the center of dilation that it was.

You can compute the new coordinates by ...

  L = P - O . . . . . the length from O to P is P-O for some point P and origin O

Then 3 times that distance is

  3L = 3P -3O

We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O. We get ...

  P' = 3L +O = 3P -3O +O

  P' = 3P -2O

So, for the lower left point A(-2, -7), the dilated image point A' is ...

  A' = 3(-2, -7) -2(2, -7) = (-6, -21) +(-4, 14) = (-10, -7)

That is, ...

  A' = 3A +(-4, 14)

The coordinates of the remaining points can be found similarly.

___

On a graph, it is usually fairly easy to count the grid squares in each direction between the point of interest and the center of dilation. The image point is 3 times the distance in each direction (horizontally, vertically).

7 0
3 years ago
If 4(r+2)-13=11, what is the value of r ?
vichka [17]

Answer:

r=4

Step-by-step explanation:

First you multiply 4 by r which gives you 4r. Then you multiply 4 by 2 to give you 8.So it looks like this now

4r+8-13=11

Now you add thirteen to both sides and get

4r+8= 24

Then you subtract both sides by 8 to get 16

4r=16

Then you divide both sides by 4 to get 4

r=4

3 0
3 years ago
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