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Effectus [21]
3 years ago
8

Match the answer to the question.

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

1. B= -3

2. X= -5

3. X= 6

4. X= 6

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Find the vector and parametric equations for the line through the point P(0, 0, 5) and orthogonal to the plane −1x+3y−3z=1. Vect
yulyashka [42]

Answer:

Note that orthogonal to the plane means perpendicular to the plane.

Step-by-step explanation:

-1x+3y-3z=1 can also be written as -1x+3y-3z=0

The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).

Let us find a point on this  line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively

Therefore, the vector equation is given as:

-1(x-0) + 3(y-0) + -3(z-5) = 0

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Multiply through by - to get a positive x coordinate to give

x - 3y + 3z - 15 = 0

4 0
3 years ago
Difference between<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B5%7D%20%20-%20%20%5Cfrac%7B3%7D%7B10%7D%20" id="TexF
vampirchik [111]

Step-by-step explanation:

  • see below

\longrightarrow \:  \frac{4}{5}  -  \frac{3}{10}

\longrightarrow \:  \frac{8 - 3}{10}

\longrightarrow \: \cancel{\frac{5}{10} }

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3 0
2 years ago
Read 2 more answers
Bella cycled a total of 12 kilometers by making 4 trips to work. How many trips will Bella have to make to cycle a total of 18 k
UkoKoshka [18]
6 trips because 1 trip = 3 km
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3 years ago
The length of a rectangle is five times its width.
Vera_Pavlovna [14]

Answer:

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l = 5w

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180 = 5w^2

Divide each side by 5

180/5 = 5w^2 /5

36 = w^2

Taking the square root of each side

sqrt(36) = sqrt(w)^2

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l = 5w = 5*6 = 30

The perimeter is

P = 2(l+w)

P = 2(6+30) = 2(36) = 72

4 0
3 years ago
What is the distance between Nicholas’s school and the post office?
Lelechka [254]

Answer:

B. 5.2

Step-by-step explanation:

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