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My name is Ann [436]
3 years ago
5

Math help, please? 20 points ! Find the indicated limit, if it exists.

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0

I think this the correct solution. but please correct me if I'm wrong

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Equation of the line contains the points (-3,2) and (5,-5)
makkiz [27]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}): (- 3,2)\\(x_ {2}, y_ {2}) :( 5, -5)

So the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5-2} {5 - (- 3)} = \frac {-7} {5 + 3} = - \frac {7} {8}

Thus, the equation of the line is of the form:

y = - \frac {7} {8} x + b

We substitute one of the points and find "b":

2 = - \frac {7} {8} (- 3) + b\\2 = \frac {21} {8} + b\\b = 2- \frac {21} {8}\\b = \frac {16-21} {8}\\b = - \frac {5} {8}

Finally, the equation is:

y = - \frac {7} {8} x- \frac {5} {8}

Answer:

y = - \frac {7} {8} x- \frac {5} {8}

6 0
3 years ago
An artist pours 60 gallons of paint equally into 8 containers how much paint is in each container?
uranmaximum [27]

Answer:

7.5

Step-by-step explanation:

cause you can divide the 60 with the 8

4 0
3 years ago
Read 2 more answers
13. What is the surface area of the rectangular solid below using its net?
loris [4]

<u><em>Answer:</em></u>

108 square units

<h3><u><em>Step-by-step explanation:</em></u></h3>

3 x 4 = 12

3 x 4 = 12

6 x 3 = 18

6 x 3 = 18

6 x 4 = 24

6 x 4 = 24

24(2) + 18(2) + 12(2) = 108 square units

Therefore, the surface area of the rectangular solid below using its net is <u>108 square units</u>

4 0
2 years ago
Geometry help. If x is the image of U under a dilation centered at P, what is the scale factor.
kupik [55]
A dilation pushes all points outwards, a factor of 2 would double the distance (in this case the point V)
every further step is then also an increase of the factor so
1->U (nothing changes)
2->V
3->W
4->X

so the correct answer is 4
4 0
3 years ago
Find the sum of (6d+5)-(2-3d)
devlian [24]
I think you have to combine like terms to solve this one. (6d - 3d) + (5 - 2) = 3d + 3
7 0
3 years ago
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