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sveticcg [70]
3 years ago
8

describe how do you know if two lines are parallel if all you knew were the equations of the two lines

Mathematics
2 answers:
Marrrta [24]3 years ago
7 0
Two lines are parallel if they intersect.
Andreyy893 years ago
5 0

Answer:

Step-by-step explanation:

Put what you are given in the form of

y = mx + b

If both equations have the same m, the lines are parallel. For example

y = 4x + 10

y = 4x + 20

These two lines are parallel.

However

y = 8x + 40

y = 4x + 10   are not parallel even though it looks like m could be made the same by taking out 4 in each. Check them out on the graph below.

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to solve the equation |x-9|=0.5x, kiana graphed the functions f(x)=|x-9| and g(x)=0.5x on the same set of coordinate axes. She t
Pani-rosa [81]

Answer:

The answer is the option D

f(6)=g(6) and f(18)=g(18)

Step-by-step explanation:

we have

f\left(x\right)=\left|x-9\right|

g(x)=0.5x

we know that

The solution of the system of equations is the intersection point both graphs

Using a graphing tool

see the attached figure

The solution are the points (6,3) and (18,9)

therefore

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so

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For x=18

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If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.

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