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30.01.2021 •

Mathematics

Variable g is 5 more than variable w. Variable g is also 2 less than w. Which pair of equations best models the relationship between g and w? (1 point)

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Ответ:

biju10775

23.04.2021

Mathematics

The perimeter of the polygon to the nearest tenth of a unit $\boxed{12.4{\text{ units}}}$ . Option (a) is correct.

Further explanation:

The distance between the two points can be calculated as follows,

$\boxed{{\text{Distance}} = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} }$

Given:

The coordinates of the vertices of the polygon are $\left( { -1, 6} \right),\left( {2, 4} \right),\left( {- 1, 3} \right)$ , and $\left( { - 3, 3} \right).$

Explanation:

The coordinates of the vertices of the polygon are $\left( { -1, 6} \right),\left( {2, 4} \right),\left( {- 1, 3} \right)$ , and $\left( { - 3, 3} \right).$

The distance between point E and point F can be calculated as follows,

$\begin{aligned}{\text{Distance}}&= \sqrt {{{\left( { - 1 - 2} \right)}^2} + {{\left( {6 - 4} \right)}^2}}\\&= \sqrt {9 + 4}\\&= \sqrt {13}\\&= 3.6\\\end{aligned}$

The distance between points $\left( {2, 4} \right)$ and $\left( {- 1, 3} \right)$ can be calculated as follows,

$\begin{aligned}{\text{Distance}}&= \sqrt {{{\left( { - 1 - 2} \right)}^2} + {{\left( {3 - 4} \right)}^2}}\\&= \sqrt {9 + 1}\\&= \sqrt {10}\\&= 3.2\\\end{aligned}$

The distance between points $\left( {- 1, 3} \right)$ , and $\left( { - 3, 3} \right)$ can be calculated as follows,

$\begin{aligned}{\text{Distance}}&= \sqrt {{{\left( { - 1 + 3} \right)}^2} + {{\left( {3 - 3} \right)}^2}}\\&= \sqrt {4 + 0}\\&= \sqrt4\\&= 2\\\end{aligned}$

The distance between point $\left( { -1, 6} \right)$ and $\left( { - 3, 3} \right)$ can be calculated as follows,

$\begin{aligned}{\text{Distance}} ^&= \sqrt {{{\left( { - 3 + 1} \right)}^2} + {{\left( {3 - 6} \right)}^2}}\\&= \sqrt {4 + 9}\\&= \sqrt {13}\\&= 3.6\\\end{aligned}$

The perimeter of the polygon can be calculated as follows,

$\begin{aligned}{\text{Perimeter}} &= 3.6 + 3.6 + 2 + 3.2\\&= 12.4\\\end{aligned}$

Option (a) is not correct.

Option (b) is not correct.

Option (c) is not correct.

The perimeter of the polygon to the nearest tenth of a unit $\boxed{12.4{\text{ units}}}$ . Option (a) is correct.

Learn more:

Learn more about inverse of the Learn more about equation of circle Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: perimeter, shape, perimeter of shape below, Coordinates, vertices, polygon, x-coordinate, y-coordinate, perimeter, circumference, nearest tenth unit, distance formula.

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