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Viktor [21]
3 years ago
10

Which of the following is a correct equation for the line passing through the point (-1,4) and having slope m=-3

Mathematics
1 answer:
timurjin [86]3 years ago
5 0

Answer:

y = -3x + 1

Step-by-step explanation:

Starting with the point (-1, 4) and the slope m = -3, write out the point-slope equation of a straight line:  y - k = m(x - h) becomes y - 4 = -3(x + 1), or:

y = -3x - 3 + 4

y = -3x + 1    This is the same as answer choice (b).

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The answer to your question is 120
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ordered pairs in which of these formats do not have to represent a function? (Length of side of a square,perimeter of square)​
Daniel [21]

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

b) Substitute general point of L in the plane to find the intersecting point

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

i.e. same point given.

3 0
3 years ago
How many different committees of 4 people can be chosen from a group of 21?
sdas [7]

Answer:

There are 21 ways to choose the first person, 20 ways to choose the second, 19 ways for the third and 18 ways for the fourth so the answer is 21 * 20 * 19 * 18 = 143640.

4 0
3 years ago
Jeff rode his bike around a bike trail that was 1/3 of a mile long. He rode around the trail 9 times. Write a fraction greater t
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8 0
3 years ago
Read 2 more answers
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