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swat32
3 years ago
5

Find the distance between the pair of points.. (-6, -5), (7, -8)

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0

Answer:

\sqrt{178} units

Step-by-step explanation:

Use the distance formula d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2} where d is the positive distance between (x_1,y_1) and (x_2,y_2):

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

d=\sqrt{(-8-(-5))^2+(7-(-6))^2}

d=\sqrt{(-8+5)^2+(7+6)^2}

d=\sqrt{(-3)^2+(13)^2}

d=\sqrt{9+169}

d=\sqrt{178}

Therefore, the distance between (-6,-5) and (7,-8) is \sqrt{178} units.

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nathan smiled at 50 people one day and recorded that 36 people smiled back at him.Based on his observations how many people shou
Olegator [25]

Given :

Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.

To Find :

How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.

Solution :

Ratio of people smiled by total number of people is :

R = \dfrac{36}{50}

Now, it is given that we have to use the given conditions.

Therefore, ratio will be same :

\dfrac{s}{650}=\dfrac{36}{50}\\\\s = \dfrac{36}{50}\times 650\\\\s = 468

Therefore, number of smiles Nathan expect to return is 468.

4 0
3 years ago
if 3000$ is invested at a rate of 12% compounded continuously, find the balance in the account after 5 years. Use the formula A=
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Answer:

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Step-by-step explanation:

This question is pretty cut and dry

just plug in the numbers

3000e^{5*.12}\\3000e^{.6}\\5466.356401\\5466.36

8 0
2 years ago
300 girls were asked to name their favorite sport.12 girls said they like bowling. What is the percentage of girls who like bowl
Andrew [12]
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4 0
3 years ago
What are the solution points for the system graph?
kykrilka [37]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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lbvjy [14]

Answer:

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Step-by-step explanation:

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