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Alona [7]
2 years ago
9

Find the distance between the pair of points.

Mathematics
1 answer:
SVEN [57.7K]2 years ago
3 0

Answer:

Distance is \sqrt{290} units

Step-by-step explanation:

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

We are given that (x_1,y_1) is (-6,-23) and (x_2,y_2) is (-23,-24), therefore the distance between the two points is:

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

d=\sqrt{(-23-(-6))^2+(-24-(-23))^2}

d=\sqrt{(-23+6))^2+(-24+23))^2}

d=\sqrt{(-17)^2+(-1)^2}

d=\sqrt{289+1}

d=\sqrt{290}

Therefore, the distance between (-6,-23) and (-23,-24) is \sqrt{290} units.

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Answer:

B, D

Step-by-step explanation:

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How do you find the arctan 4/3 ? (Without a calculator)
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3 years ago
The difference between a number x and 3 is at least nine Write an inequality for the following sentence.
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Answer:

3 - x ≥ 9

Step-by-step explanation:

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3 years ago
If y=8 when x =3, find y when x=45
Art [367]
Let's make things easier by simplifying things.

y = 8 and x = 3 is more likely to be understood as a ratio. So for the rest of the answer, their relationship would be represented as y:x

Thus: y:x = 8:3

The problem would be finding y when x = 45

Let us proceed on using the previous equation and substitute x with 45 which would look like this:

y:45 = 8:3

Ratios can also be expressed as fractions which would make things more understandable and easy to solve. So the new form of our equation would be like this:

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Then we proceed with a cross multiplication where the equation becomes like as what is shown below:

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From there, you can solve it by multiplying 45 and 8 then dividing the product with 3 to get y

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Another way of looking at the problem, especially problems like these, is to take the whole question or statement as an equation. it would probably look like this:

y = 8 when x = 3 : y = ? when x = 45

This would make you understand what approach you can use to solve the given problem.
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Step-by-step explanation:

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