What is the distance between the points (5, 1) and (-3,-5)? 2V5 2 V 10

What is the distance between the points (5, 1) and (-3,-5)? 2V5 2 V 10 10 4V5

2 months ago

Solution 1

Guest Guest #1626300
2 months ago

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

📚 Related Questions

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What is the center of the circle that has a diameter whose endpoints are (9, 7) and (-3, -5)? A. (6, 6) B. (3, 1) C. (3, 4)
Solution 1

Answer: OPTION B.

Step-by-step explanation:

Given the endpoints of the diameter of the circle, we  need to find the midpoint, which is the center of the circle.

The following formula is used to calculate the Midpoint:

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Given the endpoints of the diameter of the circle:

(9, 7)\ and\ (-3, -5)

We can identify that:

x_1=9\\x_2=-3\\y_1=7\\y_2=-5

Then, we can substitute these values into the formula:

M=(\frac{9+(-3)}{2},\frac{7+(-5)}{2})\\\\M=(3,1)

Therefore, the center of the circle is: (3,1)

Question
Tyler is 5 years younger than three times his cousin Lejla's age. Tyler is 40 years old. Let l represent Lejla’s age. During the Strategize step of the five-step problem-solving plan, which expression would you use to represent Tyler’s age?
Solution 1

Answer:

3I-5=40

Step-by-step explanation:

See Tyler is 5 years younger than times 3 his cousin's age. So Tyler's age is 40. 3 times Lejla's which is = 3I and the problem states 5 years younger than 3 times Lejla's age. 5 years younger can be represented by -5. So the equation is 3I-5=40

Solution 2

Answer:

I times 3-5

Step-by-step explanation:

   

Their are other ways to do it

Sorry if it is not the answer you were looking for.

Question
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Answer:

5:2

Step-by-step explanation:

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Order the numbers from least to greatest. -4 1/2, -1/2, 1/4, 2/3, 2 1/3
Solution 1

Answer:

-4 1/2, -1/2, 1/4, 2/3, 2 1/3

Step-by-step explanation:

they were already in order lol

Solution 2

Answer:

1/4,2/3,1/2,2 1/3,4 1/2

Step-by-step explanation:

Question
Is 1/1 a positive fraction?
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Yes it is positive because there is no negative sign 
Solution 2
Yes 1/1 is a positive fraction
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Shiloh's basketball team won 9 games this season and lost 5 games. Write the ratio of wins to total games in simplest form.
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Answer:

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Write 2350 million in standard form. Write 25 x 10^6 in standard form.
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Answer: 2350 million

2,350,000,000

2.35 x 10 to the power of 9

Step-by-step explanation:

Question
4a - 3(a - 2) = 2(3a - 2)
Solution 1

Answer:

I got A= -2/5

Step-by-step explanation:

4a-3(a-2)=2(3a-2)

4a -3a -6=6a-4

1a-6=6a-4

-1a    -1a

-6=5a-4

+4    +4

-2 =5a

 5     5

A= -2/5

Hope my answer has helped you and if not I am sorry.

Solution 2

Answer:

a = 2

Step-by-step explanation:

4a - 3a + 6 = 6a - 4

a + 6 = 6a - 4

+4 +4

a + 10 = 6a

-a -a

10 = 5a

-----------

5

2 = a

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The width is 12cm and the length is 8cm

Step-by-step explanation:

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- Simplify the expression. (3-i) - (2 +6i) 1-7i -1 + 7i -6i 5+5i
Solution 1

(3-i) - (2 +6i)

Combine like terms:

3-2 = 1

-i  -  6i = -7i

Combine to get 1 -7i