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gizmo_the_mogwai [7]
3 years ago
12

The perimeter of the triangle is 13 inches. What is the length of the shortest side?

Mathematics
1 answer:
vlabodo [156]3 years ago
6 0

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

x - 5 + \frac{x}{2} + 6 = 13

Solve to find the value of x

\frac{2x - 10 + x + 12}{2} = 13

\frac{3x + 2}{2} = 13

Multiply both sides by 2

\frac{3x + 2}{2}*2 = 13*2

3x + 2 = 26

Subtract 2 from both sides

3x + 2 - 2 = 26 - 2

3x = 24

Divide both sides by 3

\frac{3x}{3} = \frac{24}{3}

x = 8

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

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The perimeter of a rectangle is 36m. If its length is increased by 1m and the width is increased by 2m, its area will increase b
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Answer:

  80 m^2

Step-by-step explanation:

The given information lets you write two equations involving length (x) and width (y).

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The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.

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Dividing the first equation by 2 gives

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and subtracting this from the above equation gives ...

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I’m this geometric sequence, what is the common ratio
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Answer:

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a. The total share is the capital of the two partners together = 6·x² + 11·x - 35

∴ When their total share is equal to 0, we have;

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Factorizing the above equation with a graphing calculator gives;

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Therefore;

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b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;

When x = 10

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The total expenditure of Vicky and Micky when x = 10 is 675

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