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BabaBlast [244]
2 years ago
8

Find out which of the linear equations below have a negative slope (select all found)

Mathematics
1 answer:
Tpy6a [65]2 years ago
4 0

Answer:

E

Step-by-step explanation:

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Distance between parallel lines y=3x+10 and y=3x-20
Alecsey [184]

1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).


2. Use formula d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}} to find the distance from point (x_0,y_0) to the line Ax+By+C=0.


The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:

d=\dfrac{|3\cdot 0-10-20|}{\sqrt{3^2+(-1)^2}}=\dfrac{30}{\sqrt{10}}=3\sqrt{10}.


3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.


Answer: d=3\sqrt{10}.

4 0
2 years ago
In ΔEFG, the measure of ∠G=90°, GE = 40 feet, and EF = 44 feet. Find the measure of ∠F to the nearest degree.
Licemer1 [7]

Answer:

42°

Step-by-step explanation:

It is always good to draw a picture to help you.  In this case

tan F = 40/44

m∠F = arctan (40/44) = 42°

3 0
2 years ago
You are planning a movie marathon. Each movie lasts 3/2 hours. You want to watch 4 movies nonstop. How many hours will your movi
Citrus2011 [14]

Answer:

Your movie marathon will last 6 hours.

Step-by-step explanation:

This question can be solved using a rule of three.

Each movie lasts \frac{3}{2} = 1.5 hours. How much do 4 movies last?

So

1 movie - 1.5 hours

4 movies - x hours

x = 4*1.5 = 6

Your movie marathon will last 6 hours.

5 0
3 years ago
Factor by grouping 9m3-3m2p2-3mp+p3
Setler [38]
(3m^2-p)(3m-p^2)
You factor out the 3m^2 and p from the combined like terms and then group those into a factor and group the two identical factors together and (3m^2-p)(3m-p^2) is your answer.
3 0
3 years ago
What additional steps do you take in order to graph inequality vs graphing equations
inessss [21]
You shade below the line or above depending on the sign (graphing inequalities). > means above. < means below.
8 0
3 years ago
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