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Sedaia [141]
3 years ago
11

What is the length of the line segment shown on this coordinate grid?PLEASE HELP :-)

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0
 The line is 4 units in length.
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Given the function graphed below, what is the average rate of change between f(3) and f(7)?
Shkiper50 [21]
Answer: choice D) 20

-------------------------------

Explanation:

Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.

Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.

We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.

To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope

In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20

The slope of the line is 20, so therefore, the average rate of change is 20.

6 0
3 years ago
In any linear relationship, explain why the slope is always the same.
7nadin3 [17]
Because if it is linear it is a straight line so the slope must always be equal to eachother
7 0
3 years ago
Caleb wants to rent a kayak. Kayak rentals cost $14.50 for half an hour. If Caleb rents a kayak for a hour and forty-five minute
butalik [34]
14.50 x 2 (2 1/2 hours = 1 hour) = $29.00 + $14.50 (for another 1/2 an hour) = $43.50. Then, divide 14.50 in half for the other 15 minutes that weren't accounted for yet, so: $14.50/2 = $7.25 then add it to our previous total: $43.50 + $7.25 = $50.75 is your answer :) Hope I helped 
7 0
3 years ago
Read 2 more answers
G
Blababa [14]

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The y-coordinates of the points are the same, so the distance between those points will be the difference of the x-coordinates. The first number line shows those x-coordinates plotted properly. It can be used to find the difference between them.

4 0
3 years ago
Gym a: $20 joining fee and $ 40 monthly charges
LUCKY_DIMON [66]

Answer:

4 months

Step-by-step explanation:

A

20 + 40(4) = 180

B

45 x 4 = 180

5 0
3 years ago
Read 2 more answers
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