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melamori03 [73]
3 years ago
8

Find the endpoint of the segment with endpoint (4, 12) and midpoint (-1, 13)

Mathematics
1 answer:
ioda3 years ago
3 0

Answer:

(-6,14)

Step-by-step explanation:

We are given one endpoint and the midpoint, so we have to figure out how far apart these two points are:

(4,12) and (-1,13)

First, we take the x values because these two points are using the (x,y) pattern.

How far away are 4 and -1? The answer is 5.

How far away are 12 and 13? Only 1

If we start at the endpoint (4,12) and go to the midpoint at (-1,13), we go 5 to the left. That means we need to go 5 more spaces to the left to get to the other endpoint. The first part of our answer is -6, which is 5 to the left of -1.

Doing the same thing for the y values now, to get from 12 to 13 we go up 1. So we have to go up one more to find the y value of the other endpoint. If you are at 13 and you go up one, you are at 14.

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An art studio charges a start-up fee to cover art supplies, plus an additional fee per class. The graph shows the total cost for
Studentka2010 [4]

Answer/Step-by-step explanation:

✔️The rate of change can be calculated using the coordinates of any two points on the graph. Let's use (2, 60) and (3, 75):

rate of change = \frac{y_2 - y_1}{x_2 - x_1} = \frac{75 - 60}{1} = \frac{15}{1} = 15

Rate of change (m) = 15

✅In the context of this situation, the rate of change can be interpreted to be the additional fee per class. Thus, an additional fee per class cost $15.

✔️Initial value is the same as the y-intercept.

To find the y-intercept (b), substitute m = 15, x = 2, and y = 60 into y = mx + b.

Thus:

60 = 15(2) + b

60 = 30 + b

60 - 30 = b

30 = b

b = 30

The initial value/y-intercept = $30

✅In this context, $30 is the start-up fee to cover art supplies.

5 0
3 years ago
Harper needs to buy some new leotards for gymnastics practice. At the sporting goods store, she finds 2 leotards on sale for $24
Nonamiya [84]

Answer:

34.99

Step-by-step explanation:

22.38 divided by 2= 11.19 24.80 + 11.19= 34.99

hope this helps you :) have a great day and stay safe!

3 0
3 years ago
Mr North spent $144,00 to build a fence around the perimeter of bis vegetable garden.He paid $6.oo per yard for fencing.
NikAS [45]
First, you could see the amount of fence he could buy, or 144/6, which would be 24, so Mr. North can buy 24 yards of fencing.
So now to find the possible plans, we know that there are four sides, but the width and the length occur twice since it's a rectangle.
So since we know that, we can just split 24 in half to find the possibilities for one of the width sides and one of the length sides, if that makes any sense. 24/2 = 12.
So now, you could say some possibilities are length = 6 and width = 6, or length = 4 and width = 8.
And now, to consider which plan would be the best, it would probably be a 6x6 design, because it gives the biggest area to the vegetable garden, and is easy to move around.
width = 6
length = 6
area = 36 square yards (6×6)
perimeter = 24 yards (6+6+6+6)
5 0
3 years ago
What is 6x+3y=-15 in y-intercept form
iren2701 [21]

Answer:

3y = -6x - 15

Step-by-step explanation:

To put 6x + 3y = -15 into Slope Intercept Form you need to know the formula (y = mx + b) so we know we need to get y on its own side so we can -6x  from both side giving us 3y = -6x +-15 or 3y = -6x - 15 There are many different slope intercept forms for this equation depending on how you get y by its self!

8 0
3 years ago
Read 2 more answers
Elizabeth has a swimming pool at home. She wants to build a deck all the way around her rectangular swimming pool. The width of
galben [10]

Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.

<h3>What is the perimeter of a rectangle?</h3>

The perimeter of a rectangle of length l and width w is given by:

P = 2(l + w)

In this problem:

  • She has enough wood to build a deck that is 280ft, hence P = 280.
  • The length is of 10 feet, hence l = 10.
  • Considering that the deck's width will be added to the actual width of 8 feet, we have that w = 8 + w.

Then:

P = 2(l + w)

280 = 2(10 + 8 + w)

36 + 2w = 280

2w = 244

w = \frac{144}{2}

w = 122

She can make a deck of 122 ft wide.

You can learn more about the perimeter of a rectangle at brainly.com/question/10489198

7 0
2 years ago
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