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3 years ago

What is the length of segment XY?

Mathematics

2 answers:

Brilliant_brown [7]3 years ago

6 0

Answer:

StartRoot 53 EndRoot units

XY = √53

Step-by-step explanation:

Choose which is point 1 and point 2 so you don't confuse the coordinates.

Point 1 (–4, 0) x₁ = –4 y₁ = 0

Point 2 (3, 2) x₂ = 3 y₂ = 2

Use the formula for the distance between two points.

$L = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}$

$XY = \sqrt{(3-(-4))^{2} + (2-0)^{2}}$

$XY = \sqrt{49 + 4}$

$XY = \sqrt{53}$

Therefore the line of segment XY is √53.

lisabon 2012 [21]3 years ago

3 0

Answer:

sqr root 53

Step-by-step explanation:

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Answer:

$(x,-\frac{3}{2} x+2)$

Step-by-step explanation:

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Answer:

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3 years ago

The weight of water is 62 1/2 per cubic feet. Water that weighs 325 lbs will fill how many cubic feet

yulyashka [42]

Water that weighs 325 lbs will fill 5.2 cubic feet.

Step-by-step explanation:

This is a simple question of cross multiplication

DATA:

1. The weight of water for 1 cubic feet is 62.5

2. The weight of water for 'X' cubic feet is 325

3. To find x, form an equation:

Cubic feet : Weight of water

1 : 62.5

X : 325

4. Cross multiply

X x 62.5 = 1 x 325

62.5X = 325

5. Make X the subject

X = $\frac{325}{62.5}$

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X = 5.2 cubic feet

Therefore, water that weighs 325 lbs will fill 5.2 cubic feet.

Key words: Conversion

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3 years ago

Solve the equation 3/4x+3-2x = -1/4+1/2x+5

elena55 [62]

Hi there! The answer is x = -1

Let's solve this equation step by step!
$\frac{3}{4} x + 3 - 2x = - \frac{1}{4} + \frac{1}{2} x + 5$

First collect terms.
$- 1 \frac{1}{4} x + 3 = \frac{1}{2} x + 4 \frac{3}{4}$

Subtract (1/2)x from both sides.
$- 1\frac{3}{4} x + 3 = 4 \frac{3}{4}$

Subtract 3 from both sides.
$- 1\frac{3}{4} x = 1 \frac{3}{4}$

And finally divide by -1 3/4
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GaryK [48]

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