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djverab [1.8K]
3 years ago
10

Find a parametrization of the line in which the planes x + y + z = -6 and y + z = -8 intersect.

Mathematics
1 answer:
rewona [7]3 years ago
6 0

Answer:

L(x,y) = (2,-8,0) + (0,-1,1)*t

Step-by-step explanation:

for the planes

x + y + z = -6  and y + z = -8

the intersection can be found subtracting the equation of the planes

x + y + z - ( y + z ) = -6 - (-8)

x= 2

therefore

x=2

z=z

y= -8 - z

using z as parameter t and the point (2,-8,0) as reference point , then

x= 2

y= -8 - t

z= 0 + t

another way of writing it is

L(x,y) = (2,-8,0) + (0,-1,1)*t

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C. 5/6

30 people with soda + 45 people with lemonade = 75/90 people

simplifies to 5/6.


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3 years ago
Algebra: Solve for x
Irina-Kira [14]

Answer:

2

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A rectangle has a length of x + 5 and width of x - 3. What is the area of the rectangle? Write the answer as a polynomial in sta
goldfiish [28.3K]

Answer:

Step-by-step explanation:

Area = length * width

length: x + 3

width: x - 5

A = (x + 3)(x - 5)

Simplify (x + 3)(x - 5) using the FOIL method:

 

1. First numbers: multiply the first number of each binomial together--x*x = x%5E2

2. Outer numbers: multiply the outer number of each binomial (out of the entire expression, the number farthest to the left (x) and the number farthest to the right (-5))--x*-5 = -5x

3. Inner numbers: multiply the inner number of each binomial--3*x = 3x

4. Last numbers: multiply the last number of each binomial--3*-5 = -15

==> Now, add all of the results together and combine like terms: x%5E2+-+5x+%2B+3x+-+15 = x%5E2+-+2x+-+15

Therefore, A = x%5E2+-+2x+-+15

8 0
3 years ago
If tan theta = startfraction 11 over 60 endfraction, what is the value of cot theta?
Dennis_Churaev [7]

The value of cot\theta when tan\theta =\frac{11}{60} comes to be \frac{60}{11}.

Given that trigonometric ratio:

tan\theta = \frac{11}{60}

<h3>What is the tangent of an angle?</h3>

The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).

So, for the given problem

Opposite side to \theta = 11

Adjacent side to \theta = 60

So, cot \theta =\frac{AdjacentSide }{OppositeSide}

cot\theta =\frac{60}{11}

Therefore, the value of cot\theta when tan\theta =\frac{11}{60} comes to be \frac{60}{11}.

To get more about trigonometric ratios visit:

brainly.com/question/24349828

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2 years ago
4(2x + 3) ÷ 5y
Murrr4er [49]
I won’t give a actual answer to the equation, because I want you and anyone else to learn it. but I do want to help!

the sum is the answer to a addition problem. that means you should choose anything that falls under that.

The term is anything that is being separated by + or - so for this, choose anything like that.

The product is the final answer to a multiplication problem.

Factor- any number leading up to a answer in a problem. Example: 3 times 4 is 12. The 3 and the 4 are the factors.

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Coefficient- the number separated from the rest of the problem or the number at the beginning of the problem that stands alone. Because this one is a bit harder to explain, I’ll go ahead and tell you it is 4.

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I hope this helps, and good luck!! :)
8 0
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