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kumpel [21]
3 years ago
5

Given that P = (-4, 11) and Q = (-5, 8), find the component form and magnitude of vector QP

Mathematics
1 answer:
Svetach [21]3 years ago
8 0
The given points are
P = (-4,11)
Q = (-5,8)

The x-component of vector QP is
-4 - (-5) = 1
The y-component of vector QP is
11 - 8 = 3

The vector QP is 
(1,3) or
\vec{QP} = \hat{i} + 3\hat{j}

The magnitude of the vector is
√(1² + 3²) = √(10)

Answer:
\vec{QP} = \hat{i}+3\hat{j} \,\, or \,\, (1,3)
The magnitude is √(10).

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Answer:

14 and 16.

Step-by-step explanation:

We know that two consecutive even numbers is 30.

Let's let n be <em>any number</em>.

Then the first <em>even</em> number must be 2n.

This is because n can be any number, either even or odd. However, if we multiply it by 2, this <em>ensures</em> that 2n is even. Remember that any number multiplied by 2 yields an even number.

Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.

We know that they sum to 30. So, we can write the following equation.

(2n)+(2n+2)=30

And we solve from there:

4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7

So, the value of n is 7.

Therefore, the first even number is 7(2)=14.

And the consecutive even number is 16.

Edit: Typo

7 0
3 years ago
A regular hexagon is rotated 360° about its center. How many times does the image of the hexagon coincide with the pre image dur
lianna [129]

The image of the regular hexagon coincides with the pre-image 6 times during rotation.

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In a single rotation which is usually the rotation of an object at 360°, the number of times in which the regular hexagon coincides with its pre-image is 6 times, this is because it has 6 equal sides and 6 equal angles.

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brainly.com/question/1592456

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Lady_Fox [76]

Given:

A car traveled 150 km in 3 hour.

To find:

The unit rate.

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Substituting the given values, we get

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4 0
4 years ago
There are 8 students one the minibus. What fraction of the students are boys
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7 0
3 years ago
Read 2 more answers
Find all solutions of the equation. 5 sin x − 82√ = 3 sin x − 72√
Andrei [34K]

Answer:

  • x = arcsin(√20.5 -3√2) +2kπ . . . k any integer
  • x = π - arcsin(√20.5 -3√2) +2kπ . . . k any integer

Step-by-step explanation:

Add √(82) -3sin(x) to both sides to get ...

  2sin(x) = √82 -√72

Now, divide by 2 and find the arcsine:

  sin(x) = (√82 -√72)/2

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Of course, the supplement of this angle is also a solution, along with all the aliases of these angles.

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In degrees, the solutions are approximately 16.562° and 163.438° and integer multiples of 360° added to these.

6 0
4 years ago
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