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4 years ago

14

Let L be the line through the points(1, 0, −2) and (3, −2, 5). Does L intersect the plane x + 2y + 5z = 1? If not, justify your

answer. If L does intersect the plane, find the intersection.

1 answer:

notka56 [123]4 years ago

8 0

Answer:

The point intersect at (-3/17, 20/17, -4/17)

Step-by-step explanation:

Check attachment for solution

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The school that Mary goes to is selling tickets to a spring musical. On the first day of ticket sales

andrezito [222]

Answer:

The cost of one adult ticket is $13, and the price of one student ticket is $4.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the cost of an adult ticket

y is the cost of a student ticket.

6 adult tickets and 1 student ticket for a total of $82

This means that

$6x + y = 82$

$y = 82 - 6x$

The school took in $51 on the second day by selling 3 adult tickets and 3 student tickets.

This means that

$3x + 3y = 51$

Simplifying by 3

$x + y = 17$

Since $y = 82 - 6x$

$x + 82 - 6x = 17$

$-5x = -65$

$5x = 65$

$x = \frac{65}{5} = 13$

$y = 82 - 6x = 82 - 6*13 = 82-78 = 4$

The cost of one adult ticket is $13, and the price of one student ticket is $4.

4 0

3 years ago

What gaming you tubers should I watch? I like Mark, Jack, Felix and Ethan. But anymore suggestions?

djyliett [7]

Answer:

Phly Daily

Step-by-step explanation:

because he is bomb. also maybe typical gamer

8 0

4 years ago

Read 2 more answers

Translate this into an equation <br> Seven times the sum of a number and 9 equals 8.

zhenek [66]

Answer:

7(9+n)=8

Step-by-step explanation:

I hope this is right :)))

5 0

4 years ago

The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st

anzhelika [568]

Sample standard deviation

Mean of data = 84.4

Calculate deviations from the mean = 23.4, 17.8, 3.4, 1.4, -2.6, -3.6, -4.6, -5.6, -13.6 and -15.6

Squaring these deviations; we get 547.56, 316.84, 11.56, 1.96, 6.76, 12.96, 21.15, 31.36, 184.96, 243.36

Adding these we get 1378.47

As its a sample Std Dev we divide by 10 - 1 = 9. For the popklation Std Dev we divide by the number of scores (10).

Std Deviation for sample = sqrt ( 1378.47 / 9) = 12.4 to nearest tenth (answer)

Population Std Dev = sqrt (1378.47 / 10) = 11.7 answer

Theres a lot of arithmetic there so hope i haven't slipped up anywhere!

6 0

3 years ago

Whats the surface area of a cylinder with height of 12in.and the radius is 4in

emmainna [20.7K]

Answer:

401.92 in²

Step-by-step explanation:

S.A. = 2πr²+2πrh

S.A. = 2π4²+2π4·12

S.A. = 100.48 + 301.44

S.A. = 401.92 in²

7 0

4 years ago