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Ierofanga [76]
3 years ago
7

Solve the simultaneous equations: 3a-2b=14 4a+3b=13

Mathematics
2 answers:
Nastasia [14]3 years ago
7 0

Answer:

a = 4 b = -1

Step-by-step explanation:

13 = 4a - 3b  (1)

14 = 3a + 2b  (2)

(1) x 2

(2) x 3

26 = 8a - 6b   (3)

42 = 9a + 6b   (4)

(3) + (4)

68 = 17a

68/17 = 17a/17

a = 4

Substitute back in to original equation

14 = 3(4) - 2b

14 = 12 - 2b

14 - 12 = 12 -12 - 2b

2 = -2b

Divide by -2 both sides

b = -1

Check

3(4) - 2(-1)

12 + 2 = 14

DaniilM [7]3 years ago
4 0

Answer:

Step-by-step explanation:

3a-2b=14 multiply by 3

9a - 6b = 42 (1)

4a+3b=13 multiply by 2

8a +6b = 26 (2)

sum up (1) and (2)

17a = 68

a =4

b=-1

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Find the length of the third side. If necessary, round to the nearest tenth.
leva [86]

Answer:

Your answer is 15.2

Step-by-step explanation:

use the formula a² + b² = c²

In this case, you know what a and c are.

a = 13

c = 20

Put those two into the formula.

13² + b² = 20²

13² = 169

20² = 400

169 + b² = 400

Bring 169 over to the other side to get b² by itself. do this by subtracting it from 400.

400 - 169 = 231

b² = 231

Now we need to get rid of the exponent. To do this, get the square root of both sides.

√b² = √231

b = 15.1986841536...

Finally, round your answer to the nearest tenth like the question tells you to.

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Second one the real answer is 

<span>0.219512195122</span>
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Imagine the center of the Ferris wheel is located at (0,0) on a coordinate grid, and the radius lies in the x-axis. Write an equ
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Answer:

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Step-by-step explanation:

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2 years ago
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timurjin [86]

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Step-by-step explanation:

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