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slega [8]
4 years ago
9

Please solve each equation

Mathematics
1 answer:
natima [27]4 years ago
8 0

There are two ways to solve problems like this. One way is to work them in the usual fashion, doing the necessary arithmetic with fractions and mixed numbers as required. The other way is to multiply the equations by a number that eliminates fractions, then solve the problem in the usual way. Here, we'll use the latter approach.

2) Multiply by 2 to eliminate fractions.

... 22 = x + 6

... 16 = x . . . . . . subtract 6

4) Multiply by 40 to eliminate fractions.

... 91 = -10x +72

... 19 = -10x . . . . . subtract 72

... -1.9 = x . . . . . . divide by -10

As a mixed number, x = -1 9/10

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Someone please help me with this question !!!!
Lyrx [107]

Answer:

34.3 in, 36.3 in

Step-by-step explanation:

From the question given above, the following data were obtained:

Hypothenus = 50 in

1st leg (L₁) = L

2nd leg (L₂) = 2 + L

Thus, we can obtain the value of L by using the pythagoras theory as follow:

Hypo² = L₁² + L₂²

50² = L² + (2 + L)²

2500 = L² + 4 + 4L + L²

2500 = 2L² + 4L + 4

Rearrange

2L² + 4L + 4 – 2500 = 0

2L² + 4L – 2496 = 0

Coefficient of L² (a) = 2

Coefficient of L (n) = 4

Constant (c) = –2496

L = –b ± √(b² – 4ac) / 2a

L = –4 ± √(4² – 4 × 2 × –2496) / 2 × 2

L = –4 ± √(16 + 19968) / 4

L = –4 ± √(19984) / 4

L = –4 ± 141.36 / 4

L = –4 + 141.36 / 4 or –4 – 141.36 / 4

L = 137.36/ 4 or –145.36 / 4

L = 34.3 or –36.3

Since measurement can not be negative, the value of L is 34.3 in

Finally, we shall determine the lengths of the legs of the right triangle. This is illustrated below:

1st leg (L₁) = L

L = 34.4

1st leg (L₁) = 34.3 in

2nd leg (L₂) = 2 + L

L = 34.4

2nd leg (L₂) = 2 + 34.3

2nd leg (L₂) = 36.3 in

Therefore, the lengths of the legs of the right triangle are 34.3 in, 36.3 in

5 0
3 years ago
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