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Inga [223]
3 years ago
9

Which components are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15?

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

<-3,4>

<0,-5>

Step-by-step explanation:

|-3w| = 15

3|-w| = 3|w| = 15

|w| = \frac{15}{3}

|w| = 5

  • If vector w is represented by <1,-9>

Then |w| = \sqrt{(1)^{2}+(-9)^{2}}=\sqrt{1+81}=\sqrt{82}\neq5 .

Therefore this is not possible.

  • If vector w is represented by <-3,4>

Then |w| = \sqrt{(-3)^{2}+(4)^{2}}=\sqrt{9+16}=\sqrt{25}=5 .

Therefore this is possible.

  • If vector w is represented by <4,5>

Then |w| = \sqrt{(4)^{2}+(5)^{2}}=\sqrt{16+25}=\sqrt{41}\neq5 .

Therefore this is not possible.

  • If vector w is represented by <-5,-3>

Then |w| = \sqrt{(-5)^{2}+(-3)^{2}}=\sqrt{25+9}=\sqrt{34}\neq5 .

Therefore this is not possible.

  • If vector w is represented by <0,-5>

Then |w| = \sqrt{(0)^{2}+(-5)^{2}}=\sqrt{0+25}=\sqrt{25}=5 .

Therefore this is possible.

(NOTE : if z vector is represented by <x,y> then |z| = \mathbf{\sqrt{x^{2}+y^{2}}} )

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no

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Bob sold 5 toaster ovens and 3 blenders for $500. if a blender is $20 less than a toaster oven, how much is a blender?
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The answer would be $50 per blender. 
To explain the way I did it --
Toaster ovens - 70 * 5 = 350
70 - 20 = 50
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1) g(x) = 4x + 3<br> h(x) = 3x + 3<br> Find g(x) + (x)
Nuetrik [128]

Answer:

Step-by-step explanation:

g(x) = 4x + 3

h(x) = 3x + 3

g(x) + h(x) = 7x + 6

4 0
3 years ago
Can somebody help me? Thanks you!
natima [27]

Answer: it’s B

Step-by-step explanation: I’m 100% sure hope this helps :D

8 0
3 years ago
5. A, b, c plsssssss rn
Over [174]

5a. a° = 128°

5b. b° = 1.3°

5c. c° = 341°

<h3>How to determine the unknown sides</h3>

5a

a° = 128°

This is because parallel angles are equal and angles a° and 128° are parallel to each other

5b

Angles (4b-10)° and (2b - 2)° are equal.

This is because alternate angles are equal and they are alternate to each other

To find b , equate both angles

4b - 10 = 2b - 2

collect  like terms

4b + 2b = -2 + 10

6b = 8

Make 'b' subject of formula

b = 8/6

b = 1.3°

5c.

c° is at angle at a point.

19° is alternate to the other part of the point

We have, c° + 19° = 360° (angle at a point)

c° + 19° = 360°

Make 'c' subject of formula

c° = 360° - 19°

c° = 341°

Thus, the unknown angles are given as a = 128°, b = 1.3°, c = 341°

Learn more about interior angles here:

brainly.com/question/24839702

#SPJ1

5 0
2 years ago
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