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notka56 [123]
2 years ago
11

Quadrilateral ABCD is a rectangle. If the coordinates of A

Mathematics
1 answer:
Neporo4naja [7]2 years ago
5 0
<h3>Answer: A)  -2</h3>

==========================================

Explanation:

Let's find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (2-7)/(-6-4)

m = (-5)/(-10)

m = 1/2

The slope of line AB is 1/2

To get the slope of BC, we flip the fraction and the sign to get the perpendicular slope

1/2 becomes -2/1 or simply -2

----------

Slope of AB = 1/2

Slope of BC = -2

Notice how the two perpendicular slopes multiply to -1.

We know they are perpendicular because the four angles of any rectangle are always 90 degrees each.

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Laura invests $2500 in one account and $1500 in an account paying 2 % higher interest. At the end of one year she had earned $11
Crank

Answer:

$2500 - 2%

$1500 - 4%

Step-by-step explanation:

Say the interest for the $2500 is x, so the interest for the $1500 is x+0.02.

As an equation, they would look like this:

2500x+1500(x+0.02)=110

Now solve

2500+1500x+30=110

4000x=80

x=0.02

That means the interest for the $2500 is 0.02, or 2%, and the interest for the $1500 is 0.04, or 4%.

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S_A_V [24]

Answer:

Step-by-step explanation:

Using the cosine theorem:

c^{2} =a^{2} +b^{2} -abcos\beta

952^{2} =560^{2} +575^{2} -560*575cos\beta

\beta =cos^{-1} (\frac{560^{2}+575^{2}-952^{2}   }{2*560*575} )

The angle is 114.014 degrees if we substract 90 degrees it means that at point L the plane changed its angle by 24 degrees

4 0
3 years ago
1.17 is what percent of 682
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Answer:

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100%/x%=682/1.17

(100/x)*x=(682/1.17)*x       - we multiply both sides of the equation by x

100=582.90598290598*x       - we divide both sides of the equation by (582.90598290598) to get x

100/582.90598290598=x

0.17155425219941=x

x=0.17155425219941

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3 years ago
Which of the following is equivalent to xy3z2 + y2z + xyz when it is completely factored?
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