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4 years ago

What value is equivalent to ∣ −14 ∣?

Mathematics

2 answers:

bixtya [17]4 years ago

8 0

It is positive 14
The absolute value of any negative number becomes positive.

denpristay [2]4 years ago

8 0

Your answer is 14

The two lines on each sides mean the number is an absolute value. The absolute value of a number is always positive, even if the number is positive itself!

Hope this helps!

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Find the distance from point A(−14, 5) to the line −x+2y = 14.

Ad libitum [116K]

Answer:

The distance from point A to given line is: 2√5 or 4.472 units

Step-by-step explanation:

Given equation of line is:

$-x+2y= 14$

And the point is:

$A = (x_1,y_1) = (-14,5)$

The standard form of equation of line is:

$Ax+By+C = 0$

Converting the given equation into standard form

$-x+2y-14=0$

The distance of a point (x1,y1) from a line is given by the formula:

$d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}$

In the given details,

A = -1, B = 2, C = -14

x1 = -14, y1 = 5

Putting the values in the formula

$d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units$

Hence,

The distance from point A to given line is: 2√5 or 4.472 units

5 0

3 years ago

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borishaifa [10]

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3 years ago

The scale of a map is 1 in.: 17.5 mi. Find the actual distance corresponding to the map distance of 5 in.

vredina [299]

Answer:

A. 87.5 mi

Step-by-step explanation:

1 in : 17.5 mi Multiply both sides of the ratio by 5

5 in : 87.5 mi

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3 years ago

peyton learned that the brown bear at a local zoo weigh 1,578 pounds. about how much more does the brown bear weigh than the pol

Alexxx [7]

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3 years ago

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Scilla [17]

I think it will be $16.02

8 0

4 years ago

Read 2 more answers