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Gekata [30.6K]
3 years ago
13

Which of the following points have a distance of five units between them? Select all that apply 

Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0

Answer:

C. (1, 10) and (6, 5)

Step-by-step explanation:

To find the point with a distance of 5 units.

Let the points be x and y.

x = x1 and x2

y = y1 and y2

x2 - x1 = 5 units

y2 - y1 = 5 units.

A quick look at the options, we can tell that the correct option is C.

From points (1, 10) and (6, 5)

x1 = 1, x2 = 6, y1 = 10 and y2 = 5

Substituting into the equation above, we have;

x2 - x1 = 6 - 1 = 5 units

y2 - y1 = 5 - 10 = -5 units.

Therefore, option C with points (1,10) and (6,5) have a distance of five units between them.

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To get the daily rate we take the total cost and divide by days:

220 / 5 = 44

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The measure of angle 0 is 7pie the measure is ___° and sin0 is ____.
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3 0
3 years ago
Once his parachute is open, a skydiver descends at a rate of 25 feet per second. 90 seconds after the parachute opens, his altit
ss7ja [257]

Using the information given and linear function concepts, it is found that:

  • a) The equation is: y(t) = -25t + 5000.
  • b) The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.
  • c) It takes 200 seconds for the skydiver to reach the ground.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y(t) = mt + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when t changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

Item a:

  • The skydiver descends at a rate of 25 feet per second, hence m = -25.

Then:

y(t) = -25t + b

<u>90 seconds after the parachute opens, his altitude is 2750 feet</u>, which means that when t = 90, y = 2750, which is used to find b. Then:

2750 = -25(90) + b

b = 5000

Hence, the equation is:

y(t) = -25t + 5000.

Item b:

Time is in seconds, hence, this is y(120).

y(120) = -25(120) + 5000 = 2000

The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.

Item c:

The time it takes to reach the ground is t for which y(t) = 0, hence:

-25t + 5000 = 0

25t = 5000

t = \frac{5000}{25}

t = 200

It takes 200 seconds for the skydiver to reach the ground.

You can learn more about linear functions at brainly.com/question/26065573

8 0
3 years ago
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