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nexus9112 [7]
4 years ago
14

Choose the correct ordered pair. Can someone explain how to do this ?

Mathematics
1 answer:
jenyasd209 [6]4 years ago
3 0
3x+2 = x + 12
2x = 10
  x = 5

y = 5 + 12 = 17

solution
(5,17)

answer
D. solution
(5,17)

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HELP PLS!! <br> Adding and subtracting vectors in component form
tino4ka555 [31]
<h3>Answers:</h3>
  1. u+v = <3,12>
  2. w+g = <7,0>
  3. g-z = <2,4>
  4. v-u = <9,4>
  5. y+v = <7,9>
  6. u+v+y = <4,13>

===================================================

Explanation:

Problem 1

If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us

u+v = <a+c,b+d>

The corresponding coordinates pair up and add together.

In this case we have

u = <-3,4>

v = <6,8>

So,

u+v = <-3+6,4+8>

u+v = <3,12>

---------------------

Problem 2

We follow the same idea as the previous problem.

w = <8,-1>

g = <-1,1>

w+g = <8+(-1),-1+1>

w+g = <7,0>

---------------------

Problem 3

Similar to addition, subtracting vectors has us subtract the corresponding coordinates.

The general template is:

u = <a,b>

v = <c,d>

u-v = <a-c,b-d>

With this in mind, we can say the following:

g = <-1,1>

z = <-3,-3>

g-z = <-1-(-3),1-(-3)>

g-z = <-1+3,1+3>

g-z = <2,4>

---------------------

Problem 4

Follow the same idea as problem 3 above.

v = <6,8>

u = <-3,4>

v-u = <6-(-3),8-4>

v-u = <6+3,8-4>

v-u = <9,4>

---------------------

Problem 5

Refer to problem 1.

y = <1,1>

v = <6,8>

y+v = <1+6,1+8>

y+v = <7,9>

---------------------

Problem 6

u = <-3,4>

h = v+y = y+v = <7,9>

u+v+y = u + h

u+v+y = <-3,4> + <7,9>

u+v+y = <-3+7,4+9>

u+v+y = <4,13>

Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.

3 0
3 years ago
a rectangular fish pond fish pond is 21 square feet in area. if the owner can surround the pond with a 20-foot fence, what are t
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The perimeter is 20 feet, half the perimeter Would be 10 feet.

Need 2 numbers when added together equal 10 and when multiplied together equal the area of 21.

3 and 7 The pond is 3 feet by 7 feet.

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With a line plot. i think
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Are the ratios 12/4 and 3/1 equivalent<br> yes<br> Or <br> no
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Step-by-step explanation:

12    3

4     1

to get to 3 from 12 you divide by 4 and to get from 4 to 1 you also divided by 4

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Answer:

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Step-by-step explanation:

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