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pychu [463]
3 years ago
11

If L is the line through the point P=(3,2,1) and parallel to the vector v=⟨2,1,−3⟩, what is an equation of the plane that contai

ns L and the point Q=(−2,3,1)?
Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0

Answer:

  3x +15y +7z = 46

Step-by-step explanation:

The cross product of v = <2, 1, -3> and PQ = <-5, 1, 0> is <3, 15, 7>, the normal vector of the plane of interest. That plane contains P and Q, so the constant in the plane's equation will be ...

  <3, 15, 7> · <3, 2, 1> = 46

The desired equation is ...

  3x +15y +7z = 46

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If you spin the spinner below twice, what is P(vowel, then Q)? A. 1/10 B. 1/9 C. 2/9 D. 1/12 Answer correctly and I will give br
bagirrra123 [75]

Answer:

The probability of spinning a vowel, then Q, is 1/12

Step-by-step explanation:

Find the probability of each event occurring. There are three vowels out of 6 letters and 1 Q, so the chances of spinning a vowel is 3/6 or 1/2 and the chances of spinning a Q is 1/6. Multiply the probabilities of the two events occurring to find the probability of a compound event. 1/2*1/6 = 1/12. Hope this helps!

4 0
4 years ago
Read 2 more answers
I need help bbbbbbbb​
Sav [38]
Answer: 180cm


Explanation:

The area of a triangle is 1/2(b)(h).
The height of the triangles is 12cm and the base is 6cm.

1/2(6)(12) = 36cm
Multiply by 4 = 144


For square: 6 • 6 = 36cm


144cm + 36cm = 180cm
8 0
3 years ago
Two numbers have an average of 18, and a difference of 10. Form two equations and solve them to find these
Troyanec [42]
Answer: x = 23 and y = 13

Explanation:

let x and y be the two number.

Where:

(x + y)/2 = 18 => x + y = 18 x 2 = 36

and:

x - y = 10

Thus we get:

x + y = 36 (1)
x - y = 10 (2)

Add (1) and (2):
x + y + x - y = 36 + 10
2x = 46
x = 23

If x = 23

then x - y = 10
23 - y = 10
-y = -13
y = 13
7 0
3 years ago
What's the measure of arc GM if KP=PL and GH=36?
Lostsunrise [7]

Answer:

a

Step-by-step explanation:

I HOPE THIS HELPED!

8 0
3 years ago
There are 25 students in Ms. Turner's English class, and 5 of them are in the Amazing Apples reading group. What percent of the
lesya692 [45]

Answer:

20%

Step-by-step explanation:

100 divided by 5 is 20

#so_smart

5 0
3 years ago
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