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2 years ago

Can someone help me with these problems, DUE today!

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

6 0

Answer:

1. m=5

2. p=12

3. x=-9

4. n=2

5. b=4

6. x=7

7. r=9

8. n=-42

9. x=6

10. a=-8

11. x=-5

12. n=-8

13. v=-5

14. k=3

15. p=-8

16. n=0

Step-by-step explanation:

Just do the opposite symbol on the other side-a balance scale.

Ex:

1. m+2=7

-2 -2

m=7-2=5

P.S. Don't go fully on my answers because it could be wrong. Check my math.

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Answer:

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Step-by-step explanation:

Given

$(x_1,y_1) = (3,4)$ --- Team hotel

$(x_2,y_2) = (7,1)$ --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

$(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)$

This gives:

$(x,y) = \frac{1}{2}(3+7,4+1)$

$(x,y) = \frac{1}{2}(10,5)$

Open bracket

$(x,y) = (5,2.5)$

Solving (b): Distance between the hotel and the stadium

We have:

$(x_1,y_1) = (3,4)$ --- Team hotel

$(x_2,y_2) = (7,1)$ --- Stadium

The distance (d) is:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

So, we have:

$d = \sqrt{(3 - 7)^2 + (4 - 1)^2}$

$d = \sqrt{(-4)^2 + 3^2}$

$d = \sqrt{16 + 9}$

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From the question, we have:

$1\ unit = 6.4\ miles$

So:

$d =5 * 6.4\ miles$

$d =32\ miles$

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