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san4es73 [151]
3 years ago
9

Write an equation for the line parallel to the given line that contains C C(2,6); y= -4x + 7

Mathematics
1 answer:
MrRa [10]3 years ago
6 0

Answer:

y=-4x+14

Step-by-step explanation:

step 1

Find the slope of the given line

we have

y=-4x+7

This is the equation of the given line in slope intercept form

The slope is m=-4

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

therefore

The slope of the line parallel to to the given line is m=-4

step 3

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=-4

C\ (2,6)

substitute

y-6=-4(x-2)

step 4

Convert to slope intercept form

y-6=-4(x-2)

isolate the variable y

y-6=-4x+8

y=-4x+8+6

y=-4x+14

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There are currently 17 frogs in a (large) pond. The frog population grows exponentially, tripling every 6 days. How long will it
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3 years ago
A debate team of 4 members for a high school will be chosen randomly from a potential group of 15 students. Ten of the 15 studen
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Answer:

A) 0.1538

Step-by-step explanation:

4 members are going to be chosen:

M1 - M2 - M3 - M4

We have to find the probability that for each member, one without experience is chosen. There is no replacents.

Initially, we have 15 students, of which 10 have none experience. So the probability that M1 is chosen as a student with no experience is \frac{10}{15}.

Then, there are 14 students, of which 9 have no experience. So the probability that M2 is chosen as a student with no experience is \frac{9}{14}.

For the third member, there are 13 students, of which 8 have no experience. So the probability that M3 is chosen as a student with no experience is \frac{8}{13}.

For the last member, there are 12 students, of which 7 have no experience. So the probability that M4 is chosen as a student with no experience is \frac{7}{12}.

What is the probability that none of the members chosen for the team have any competition experience?

This is

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The correct answer is:

A) 0.1538

7 0
3 years ago
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