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VMariaS [17]
3 years ago
11

Find the sum of vectors u = <-2, 6> and v = <4, -9>, and then find the magnitude of u + v.

Mathematics
1 answer:
ycow [4]3 years ago
5 0

Answer:

u + v = <2, -3>

Magnitude: |u+v| = \sqrt{13}

Step-by-step explanation:

If there are 2 vector:

a = <b,c>

and

z = <x,y>

Then a + z is  <b+x,c+y>

Also, the magnitude would be

|a+z| = \sqrt{(b+x)^2 + (c+y)^2}

Now, let find the sum for the problem shown:

u + v = <-2+4, 6 -9>

u + v = <2, -3>

And the magnitude is:

|u+v| = \sqrt{(2)^2 + (-3)^2}=\sqrt{13}

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The midtown middle school cheerleaders earned $175 at a car wash. If this amount is 25% of the cost of a new set of uniforms, wh
Helga [31]

Answer:

700

Step-by-step explanation:

multiple 175 × 4 to get to 100%

6 0
2 years ago
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Use the rule x + 7 to find the missing number in the table.
dexar [7]

Step-by-step explanation:

<u>Given:</u>

  • Rule, x + 7.
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The rule is telling us to add 7 to the given value of x.

Add 7 to 12.

7 + 12 = 19

The missing number is 19.

3 0
2 years ago
Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different
N76 [4]

Answer:

(a)  As time increases, the amount of water in the pool increases.

     11 gallons per minute

(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

Choose 2 ordered pairs from the table:

\textsf{let}\:(x_1,y_1)=(8, 153)

\textsf{let}\:(x_2,y_2)=(12,197)

Input these into the slope formula:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

y-y_1=m(x-x_1)

\implies y-153=11(x-8)

\implies y-153=11x-88

\implies y=11x-88+153

\implies y=11x+65

When Ann had added no water, x = 0.  Therefore,

y=11(0)+65

y=65

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

3 0
2 years ago
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27. Stuart wants to play a trick on his friend by hiding his pencil in the box of tissues shown below. If
Alex17521 [72]

Answer:

Well if it’s a regular box I’m sure it will fit, because a box of tissues is at least 10 inches long in diameter.

5 0
3 years ago
Pls help me! I'm confused
zepelin [54]
The question is asking you to organize the data in line plot form. to do so you must create a number line (which in this case is provided for you) and put X's above the numbers. for example lets say your given the following data :
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this is how you would graph it in line plot form 



x .      x
x .      x .           x .         x .          x

_________________________________________
1 . . .   2 .          3 .         4 .          5
  
but in your case not al the numbers listed are on the plot so instead you do this:
x .    x
x .    x .      x .      x .        x
___________________________________
1 .              3 .                5 . 
plot as if the numbers are there. ( as usual spacing is important)

8 0
3 years ago
Read 2 more answers
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