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:
D) -1
Step-by-step explanation:
got it right on edge :)
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 property7·(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
Learn more here:
https://brainly.com/question/2927458
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Step-by-step explanation:
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Answers
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a) Make a table or a graph showing the amount of snow from 0 to 10 hours at each resort if the snow continues falling at this rate.
b) Indicate on your table or graph where the amount of snow will be the same at both resorts.
Answers
Answer:
a. See explanation for table
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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]
[tex]Rate = 2in[/tex] hourly
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Ski Resort
[tex]y= 75 + 1* x[/tex]
[tex]y= 75 + x[/tex]
Mt. Winterpark
[tex]y= 68 + 2 * x[/tex]
[tex]y= 68 + 2x[/tex]
Next, we make a table to show the data.
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Ski Resort: [tex]y = 75 + 0 = 75[/tex]
Mt. Winterpark: [tex]y = 68 + 2(0) = 68[/tex]
When [tex]x = 1[/tex]
Ski Resort: [tex]y = 75 + 1 = 76[/tex]
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]
When [tex]x = 4[/tex]
Ski Resort: [tex]y = 75 + 4 = 79[/tex]
Mt. Winterpark: [tex]y = 68 + 2(4) = 76[/tex]
When [tex]x = 5[/tex]
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Mt. Winterpark: [tex]y = 68 + 2(5) = 78[/tex]
When [tex]x = 6[/tex]
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Mt. Winterpark: [tex]y = 68 + 2(6) = 80[/tex]
When [tex]x = 7[/tex]
Ski Resort: [tex]y = 75 + 7 = 82[/tex]
Mt. Winterpark: [tex]y = 68 + 2(7) = 82[/tex]
When [tex]x = 8[/tex]
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Mt. Winterpark: [tex]y = 68 + 2(8) = 84[/tex]
When [tex]x = 9[/tex]
Ski Resort: [tex]y = 75 + 9 = 84[/tex]
Mt. Winterpark: [tex]y = 68 + 2(9) = 86[/tex]
When [tex]x = 10[/tex]
Ski Resort: [tex]y = 75 + 10 = 85[/tex]
Mt. Winterpark: [tex]y = 68 + 2(10) = 88[/tex]
Hence, the table is:
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)
From the table, the amount of snow is the same at the 7th hour and the snow is 82 inches
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Answers
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Step-by-step explanation:
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b
6SX <-3
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Answers
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Step-by-step explanation:
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Answers
Answer:
student A- can run 2/3 mile in six minutes
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Step-by-step explanation:
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Answers
Answer:
15
Step-by-step explanation:
the expression is (x+y)+5
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