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PIT_PIT [208]
3 years ago
15

Vector u has its initial point at (17, 5) and its terminal point at (9, -12). Vector v has its initial point at (12, 4) and its

terminal point at (3, -2). Find ||3u − 2v||. Round your answer to the nearest hundredth.
Mathematics
1 answer:
Ratling [72]3 years ago
3 0

\bf \vec{u}~~ \begin{cases} (17,5)\\ (9,12) \end{cases}\implies \implies \stackrel{\textit{component form}}{} \\\\\\ \vec{v}~~ \begin{cases} (12,4)\\ (3,-2) \end{cases}\implies \implies \stackrel{\textit{component form}}{} \\\\[-0.35em] ~\dotfill

\bf 3\vec{u}\implies 3\implies  \\\\\\ 2\vec{v}\implies 2\implies  \\\\\\ 3\vec{u}-2\vec{v}\implies -\implies + \\\\\\ \implies  \\\\[-0.35em] ~\dotfill\\\\ ||3\vec{u}-2\vec{v}||\implies ||||\implies \sqrt{(-16)^2+33^2} \\\\\\ \sqrt{1345}\implies 36.67

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56.3 degrees is the answer.

Explanation:

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2 years ago
A park is mapped on a coordinate plane, where C1, C2, C3, and C4 represent chairs and SW1, SW2, and SW3 represent swings. How fa
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Answer:

Option (B)

Step-by-step explanation:

To calculate the distance between C2 and SW1 we will use the formula of distance between two points (x_1,y_1) and (x_2,y_2).

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By substituting these coordinates in the formula,

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3 years ago
Read 2 more answers
The school that Imani goes to is selling tickets to the annual dance competition. On the first day of the ticket sales the schoo
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Answer:

The adult and the child ticket are both 8 dollars

Step-by-step explanation:

x =adult ticket price

y = child ticket price

I will assume you forget to put that they sold 2 child tickets on the second day

7x+5y=96 and 3x+2y= 40

I will use elimination.  Multiply the first equation by 2 and the second equation by -5 to eliminate y

2(7x+5y)=96*2

14x + 10y = 192

The second equation

-5(3x+2y)= 40*-5

-15x -10y = -200

Add the equations together

14x + 10y = 192

-15x -10y = -200

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Multiply by -1

x = 8

Now we need to find y

3x+2y= 40

3(8) +2y = 40

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Subtract 24 from each side

24-24 +2y = 40-24

2y = 16

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8 0
3 years ago
Which calculation could not be used to find the percentage change
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Answer:

Option (B).

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Therefore, %change between 16 and 24 may be 16% or 20%.

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Option (D),

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Therefore, we can not use the calculation used in Option (B).

6 0
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