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3 years ago

Tell whether the lines through the given points are parallel, perpendicular, or neither.

Mathematics

1 answer:

Nataly_w [17]3 years ago

5 0

Step-by-step explanation:

The slope of a line connecting two points is:

m = (y₂ − y₁) / (x₂ − x₁)

The slope of line 1 is:

m = (4 − 0) / (7 − 1)

m = 2/3

The slope of line 2 is:

m = (6 − 0) / (3 − 7)

m = -3/2

Parallel lines have equal slopes.

Perpendicular lines have opposite inverse slopes.

2/3 and -3/2 are opposite inverses, so the lines are perpendicular.

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Sergeeva-Olga [200]

Step-by-step explanation:

157×23
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3 years ago

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A rectangle has an area of 0.24 of a square. What are some possibility for the length and width of the rectangle? Tell why

VLD [36.1K]

Answer:

<h3>The possibilities of length and width of the rectangle are </h3><h3>x=1, y=0.24;</h3><h3>x=0.5, y=0.48;</h3><h3>x=0.25, y=0.96;</h3><h3>x=2, y=0.12</h3>

Step-by-step explanation:

Given that the area is 0.24 square meter

The area of a rectangle is given by

$Area=length\times width$ square units

Let x be the length and y be the width.

Since the area is 0.24 square meter, we have the equation:

$Area=x\times y = 0.24$ , with x and y measures in meters

If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.

Now choosing some values for "x", we have:

Put x = 1

$1\times y = 0.24$

∴ y = 0.24

Now put x = 0.5 we get

$0.5\times y = 0.24$

∴ y = 0.48

Put x = 0.25

$0.25\times y = 0.24$

∴ y = 0.96

Put x = 2

$2\times y = 0.24$

∴ y = 0.12

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3 years ago

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A string is tied to the top of a plant to keep it stabilized. The plant is 5 feet tall and the string is connected to the ground

Rasek [7]

R<span> = √(2² + 5²) = √29 = 5 and change. Simple Pythagorean calc. Draw a picture and you will see it.</span>

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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serious [3.7K]

In this problem the big angle will be equal to two times the smaller angle so the correct expression is:

$\angle TUV=2\angle VUW$

Now we can rewrite the equation so:

$\angle VUW=\frac{1}{2}\angle TUV$

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1 year ago