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maksim [4K]
3 years ago
9

What is the answer to this question?

Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0

Answer:

Perpendicular

Step-by-step explanation:

Parallel lines have equal slopes.

The product of perpendicular slopes = - 1

Calculate the slopes of u and v using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 51, 65) and (x₂, y₂ ) = (- 46, 96)

m = \frac{96-65}{-46+51} = \frac{31}{5}

Repeat with (x₁, y₁ ) = (- 37, 85) and (x₂, y₂ ) = (- 6, 80)

m = \frac{80-85}{-6+37} = - \frac{5}{31}

Since \frac{31}{5} × - \frac{5}{31} = - 1

Then the lines are Perpendicular

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what is the length of the diagonal of a non-regulation tennis court with length 20 feet and width 15 feet?
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Answer:

25 feet

Step-by-step explanation:

Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse.  So....

H² = A² + B²

H² = 20² + 15² = 400 + 225 = 625

H = 25 feet.

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Consider the function f(x) = the quantity x squared minus x minus 12 all over the quantity x plus 3. Describe the graph of this
FromTheMoon [43]

Answer:

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Step-by-step explanation:

The given function is

f(x)=\frac{x^2-x-12}{x+3}

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f(x)=\frac{x(x-4)+3(x-4)}{x+3}

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f(x)=0-4

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Therefore the y-intercept is (0,-4).

Put x=0, to find the x-intercept.

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Therefore the x-intercept is (4,0).

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As x approaches toward x=-3 from left and right, the value of function approaches towards y=-7.

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Step-by-step explanation:


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