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2 years ago

Two lines are perpendicular. The slope of one line is -2, What is the slope of the other line?

1 answer:

8 0

Perpendicular lines have negative reciprocal slopes. All that means is " flip " the slope and change the sign.
slope = -2, or -2/1....so flip the slope...-1/2...and change the sign...1/2.
so the perpendicular slope would be 1/2.

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If you are given the measurements of three angles of a triangle,

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Answer:

B. They will all be similar

Step-by-step explanation:

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3 years ago

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Which figures will have a volume that is greater than 100 cubic units? Select two options.

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1 year ago

Circle B has a center at point (0, 2) and a point W on the circle at (3, 3). Which equation represents a line that is tangent to

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According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

<h3>What is the equation of the circle?</h3>

The equation of a circle of center $(x_0,y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In this problem, we have that the center is at point (0,2), hence:

$x^2 + (y - 2)^2 = r^2$

It goes through point (3,3), hence:

$3^2 + (3 - 2)^2 = r^2$

$r^2 = 10$

Hence, the equation is:

$x^2 + (y - 2)^2 = 10$

<h3>What is the equation of the tangent line at point W?</h3>

It is given by:

$y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))$

Applying implicit differentiation, we have that:

$2x + 2y\frac{dy}{dy} = 0$

$\frac{dy}{dx} = -\frac{x}{y}$

Point W(3,3), hence:

$(x_0, y_0) = (3,3)$

$\frac{dy}{dx} = -\frac{3}{3} = -1$

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

More can be learned about the equation of a tangent line at brainly.com/question/8174665

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2 years ago

Amelia uses 6 patches of fabric per square foot to make a blanket. How many patches of fabric will she need to make a blanket th

sweet [91]

4,320 because if you take 720 and multiply it by 6 you get your answer

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2 years ago

You are carpeting a room in a house for your job. You have a boss that likes to play jokes, so instead of just giving you the di

forsale [732]

Answer:

$x^2-4x+3$

$63\ \text{sq. units}$

Step-by-step explanation:

l = Length = $\dfrac{x^2-x-6}{x-5}$

w = Width = $\dfrac{x^2-6x+5}{x+2}$

Area is given by

$A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3$

Area of the room is $x^2-4x+3$ .

If $x=10$

Area of the room

$A=x^2-4x+3=10^2-4\times 10+3\\\Rightarrow A=63\ \text{sq. units}$

So, the amount of carpet needed would be $63\ \text{sq. units}$ .

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2 years ago