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3 years ago

Find the distance between the two points.

Mathematics

1 answer:

NemiM [27]3 years ago

6 0

Answer:

≈ 17.03 ( to 2 dec. places )

Step-by-step explanation:

Calculate the distance (d) using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 7, - 2) and (x₂, y₂ ) = (6, 9)

d = $\sqrt{(6+7)^2+(9+2)^2}$

= $\sqrt{13^2+11^2}$

= $\sqrt{169+121}$

= $\sqrt{290}$ ≈≈ 17.03

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Softa [21]

Answer:

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

Explanation:

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

Mathematically, an inverse variation relation is represented as follows:

$y = \frac{k}{x}$

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Now, let's check the givens:

Part a:

We are given that y = 3 and k = 33

Substitute in the original relation and solve for x as follows:

$y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11$

Part b:

We are given that y = 11 and x = 5.2

Substitute in the original relation and solve for k as follows:

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Part c:

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Hope this helps :)

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2 years ago

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