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gavmur [86]
2 years ago
14

What is the distance between the points (5, 1) and (-3,-5)?

Mathematics
1 answer:
Reil [10]2 years ago
8 0

Answer: THIRD OPTION.

Step-by-step explanation:

For this exercise you need to use the formula for calculate the distance between two points. This is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given the following points:

(5, 1) and (-3,-5)

You can identify that:

x_2=-3\\x_1=5\\\\y_2=-5\\y_1=1

Knowing these values, the next step is to substitute them into the equation for calculate the distance between two points and then evaluate.

Therefore, the distance between (5, 1) and (-3,-5) is:

d=\sqrt{(-3-5)^2+(-5-1)^2}\\\\d=10

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The length of 2 sides of a triangle are 12 inches and 4 inches. Which is the third side?
Westkost [7]

Answer:

Let x = the third side

 

In a triangle, the sum of any 2 sides must be larger than the third side.

I believe this is called the triangle inequality theorem.

 

We can construct 3 inequalities to obtain the range of values for the third side.

 

  (Inequality #1)   12 + 4 > x

                                  16 > x

 

  (Inequality#2)    12 + x > 4

                                    x > -8   (we can discard this ... we know all sides will be positive)

 

  (Inequality #3)   4 + x > 12

                                   x > 8

 

So when we combine these together,  

 

   8 < x < 16

 

X (the third side) must be a number between 8 and 16. but not including 8 and 16

7 0
2 years ago
Determine the value c so that each of the following
Levart [38]
This can help you

a) since it is discrete we need to think about the sum thing it it was continuous we would look at an integral thing so I think if I remember correctly we need to find c such that <span><span>∑<span>i=0</span>3</span>c(<span>x2</span>+4)=1
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4 0
3 years ago
Choose the option that best completes the statement. 1. A figure has symmetry with respect to a plane Z if for every point A of
allochka39001 [22]
<span>1.perpendicular bisector.
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Read 2 more answers
The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario.
Elena-2011 [213]

Answer:

CORRECT OPTION is (C) The flight will be late on one of the three days.

Step-by-step explanation:

The 7am flight from Dallas to Chicago is on time 75% of the time.

A spinner with four sections was created by Fran to simulate this scenario.

Since the 4 sections were equal, it means each section was 25% of the spinner.

3 sections were shaded. That implies 25 × 3 = 75% of the spinner was shaded area.

This coincides with the 75% probability that the flight is on time on a given day.

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Now Fran spun the spinner 3 times so she has 3 outcomes. The outcomes are:

- Shaded   - Shaded   - Unshaded

CORRECT OPTION is (C) The flight will be late on one of the three days.

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Answer:

D

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