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Rasek [7]
3 years ago
13

Find the perimeter of the triangle to the nearest whole unit. 18. 16. 14. 12.

Mathematics
1 answer:
devlian [24]3 years ago
8 0

Answer:

14

Step-by-step explanation:

Perimeter of the ∆ = sum of the length of the 3 sides.

The length of the 3 sides can be calculated by using the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find the distance between the vertices of the ∆.

The coordinates of the 3 vertices are:

(-1, 3), (2, 2), (-2, -2)

Distance between (-1, 3) and (2, 2):

Let,

(-1, 3) = (x_1, y_1)

(2, 2) = (x_2, y_2)

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

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

d = \sqrt{9 + 1} = \sqrt{10} = 3.2 units

Distance between (2, 2) and (-2, -2)

Let,

(2, 2) = (x_1, y_1)

(-2, -2) = (x_2, y_2)

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

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

d = \sqrt{16 + 16} = \sqrt{32} = 5.7 units

Distance between (-2, -2) and (-1, 3)

Let,

(-2, -2) = (x_1, y_1)

(-1, 3) = (x_2, y_2)

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

d = \sqrt{(1)^2 + (5)^2}

d = \sqrt{1 + 25} = \sqrt{26} = 5.1 units

Perimeter of triangle = 3.2 + 5.7 + 5.1 = 14.0 units

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Perform the following operations and prove closure. Show your work.<br><br> (x/x+3) + (x+2/x+5)
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Answer:

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Step-by-step explanation:

We need to sum the following two expressions:

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expanding the polynomial in the numerator:

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This is the most simplified form we can get:

\frac{2(x^{2} + 5x + 3)}{(x+3)(x+5)}

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3 years ago
Read 2 more answers
Which of the following linear relationships is NOT also a proportional relationship?
katen-ka-za [31]

The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x  , y = - (1/2)x  .

A linear relationship in the form of y = mx + c is said to be a proportional relationship when c = 0  .

in the question

Part(a)

the equation is  y = (2)x - 3

on comparing it with y = mx + c , we get c = -3 , which is not 0 .

So , it is not a proportional relationship .

Part(b)

the equation is  y = (-2)x

on comparing it with y = mx + c , we get c = 0 ,

So , it is a proportional relationship .

Part(c)

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on comparing it with y = mx + c , we get c = 0 ,

So , it is a proportional relationship .

Part(d)

the equation is  y = - (1/2)x

on comparing it with y = mx + c , we get c = 0 ,

So , it is a proportional relationship .

Therefore, The linear relationships that are proportional relationship are y = (-2)x , y = (3/5)x  , y = - (1/2)x  , that are options (b) , (c) and (d) .

The given question is incomplete , the complete question is

Which of the following linear relationships is NOT also a proportional relationship?

(a) y = (2)x - 3

(b) y = (-2)x

(c) y = (3/5)x

(d) y = - (1/2)x

Learn more about Proportionality here

brainly.com/question/14967814

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Step-by-step explanation:

When you divide 8731 by 2 you will get a decimal.

But you will also get a fraction which is 4365 1/2.

Now you will have to answer with the for that best fits your problem.

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