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2 years ago

Solve for − ∣ x − 2 ∣ + 4 ≤ 0

Mathematics

1 answer:

MakcuM [25]2 years ago

5 0

Answer:

x ≥ 6 or x ≤ -2

Step-by-step explanation:

- I x - 2 I + 4 ≤ 0

- I x - 2 I ≤ -4

I x - 2 I ≥ 4

x - 2 ≥ 4 or x - 2 ≤ -4

x ≥ 6 or x ≤ -2

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2 years ago

What’s the distance between (4,-9) and (5,3)

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Answer: Distance = √145

Concept:

Here, we need to know the concept of the distance formula.

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (4, -9)

(x₂, y₂) = (5, 3)

Given formula

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

Substitute values into the formula

$Distance = \sqrt{(5-4)^2+(3+9)^2}$

Simplify values in the parentheses

$Distance = \sqrt{(1)^2+(12)^2}$

Simplify exponents

$Distance = \sqrt{1+144}$

Simplify by addition

$Distance = \sqrt{145}$

Hope this helps!! :)

Please let me know if you have any questions

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