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Lelu [443]
3 years ago
10

Y-4=3(x-1) identify the slope

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0
Slope is 1/1 hope this helps
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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
What is the value of 6^0
Tema [17]

Answer:

1

Step-by-step explanation:

Any base with an exponent of 0 equals to 1.

6^0 = 1

7 0
3 years ago
Read 2 more answers
Is the answer a, b, c, or d?
lbvjy [14]
I hope this helps you

6 0
3 years ago
Which pair of words describes this system of equations? 3y=9x+6 2y−6x=4?
deff fn [24]
No answers

parallel lines

same slope

3 0
3 years ago
Read 2 more answers
Systems of equations with different slopes and different y-intercepts have more than one solution.
FrozenT [24]

Answer: OPTION C.

Step-by-step explanation:

The systems of linear equations can have:

1. <u>No solution:</u> When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. <u>One solution</u>: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. I<u>nfinitely many solutions</u>: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts <em><u>never</u></em> have more than one solution.

7 0
3 years ago
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