Mathematics College

Review the following information about vectors q and r.

q = ⟨–4, 1⟩

r = ⟨a, 3⟩

7(q + r) = ⟨–35, 28⟩

What is the value of a?

–31
–7
–5
–1

Answers

Answer 1

Answer:

D) -1

Step-by-step explanation:

got it right on edge :)

Review The Following Information About Vectors Q And R.q = 4, 1r = A, 37(q + R) = 35, 28What Is The Value
Answer 2

Vector addition is done by addition of the components

The value of a is -1

a = –1

Reason:

The given parameters are;

q = <-4, 1>

r = <a, 3>

7·(q + r) = <-35, 28>

Required:

The value of a

Solution;

By vector addition of the components of q, and r, we have;

q + r = <-4 + a, 1 + 3> = <-4 + a, 4>

q + r =  <(-4 + a),    4>

By plugging in the value of q + r from the above step, we have;

7·(q + r) = <7 ×(-4 + a), 7 × 4> distribution property

7·(q + r)  = <-35, 28> Given

Therefore, by comparison of components, we have;

7 ×(-4 + a) = -35

[tex]-4 + a = -\dfrac{35}{7} = -5[/tex]

a = -5 + 4 = -1

a = –1

The correct option for the value of a is –1

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Given

Ski Resort

[tex]Base\ Snow = 75in[/tex]

[tex]Rate = 1in[/tex] hourly

Mt. Winterpark

[tex]Base\ Snow = 68in[/tex]

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Ski Resort

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Mt. Winterpark

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Mt. Winterpark: [tex]y = 68 + 2(0) = 68[/tex]

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Mt. Winterpark: [tex]y = 68 + 2(1) = 70[/tex]

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Mt. Winterpark: [tex]y = 68 + 2(2) = 72[/tex]

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Mt. Winterpark: [tex]y = 68 + 2(3) = 74[/tex]

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Mt. Winterpark: [tex]y = 68 + 2(4) = 76[/tex]

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x ---- Ski Resort ---- Mt. Winterpark

0 --------75 ----------- 68

1 --------76 ----------- 70

2 --------77 ----------- 72

3 --------78 ----------- 74

4 --------79 ----------- 76

5 --------80 ----------- 78

6 --------81 ----------- 80

7 --------82 ----------- 82

8 --------83 ----------- 84

9 --------84 ----------- 86

10 -------85 ----------- 88

(b)

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Answers

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Answer:

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