What is the perimeter, in terms of x, of the triangle shown here?

Mathematics

1 answer:

Pie3 years ago

3 0

Answer:

The perimeter of triangle is: $\mathbf{10x^2-x+18}$

Step-by-step explanation:

We need to find perimeter, in terms of x, of the triangle shown here.

The length of side 1: $(7x^2 - 12)$

The length of side 2: $(-5x + 30)$

The length of side 3: $(3x^2 + 4x)$

The formula used to find perimeter of triangle is: $Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides$

Putting values and finding perimeter:

$Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18$

So, The perimeter of triangle is: $\mathbf{10x^2-x+18}$

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wolverine [178]

Answer:

see below

Step-by-step explanation:

Each point moves to half its previous distance from P. It is probably easier to count grid squares on the graph than it is to do the math on the coordinates.

If you're doing the math on the coordinates, it is convenient to use P = (0, 0), then multiply each of the coordinates of A, B, and C by 1/2. For example:

A' = (1/2)A = (1/2)(8, 4) = (4, 2)