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4 years ago

The coordinates of the vertices of a polygon are shown below

Mathematics

1 answer:

kakasveta [241]4 years ago

8 0

Answer:

Option D.

Step-by-step explanation:

The given vertices of a polygon are D(-4,5),E(-1,5),F(1,2), and G(-1,-1).

Here, number of vertices is 4.

In heptagon, number of vertices = 7

In hexagon, number of vertices = 6

In octagon, number of vertices = 8

In quadrilateral, number of vertices = 4

Since the given polygon has 4 vertices, therefore it is a quadrilateral.

Hence, option D is correct.

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Find the slope of the line perpendicular to the line graphed below. MUST BE IN ITS SIMPLEST FORM.

NNADVOKAT [17]

The slope of the line perpendicular to the line seen in the picture is - 2 / 3.

<h3>How to determine the slope of a line perpendicular to another line</h3>

The slope of a function is determined by the secant line formula and is defined by the following expression:

m = Δy / Δx (1)

Where:

Δx - Change in the independent variable.
Δy - Change in the dependent variable.
m - Slope of the line.

Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:

m' = - 1 / m

If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:

m = 3 / 2

m' = - 1 / (3 / 2)

m' = - 2 / 3

The slope of the line perpendicular to the line seen in the picture is - 2 / 3.

To learn more on slopes: brainly.com/question/2491620

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2 years ago

Which certificate does Jenny require?

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3 years ago

Find the sum of-10x^2-x+6 and <br> 10x^2-5

Sindrei [870]

Answer:

=-10x^2-x+6adn

Step-by-step explanation:

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3 years ago

Which of the following inequalities matches the graph?

miv72 [106K]

Answer:

$\large\boxed{x\leq0}$

Step-by-step explanation:

x ≤ 0 - the region below the line x = 0 (x axis)

x ≥ 0 - the region above the line x = 0 (x axis)

y ≤ 0 - the region on the left of the line y = 0 (y axis)

y ≥ 0 - the region on the right side of the line y = 0 (y axis)

all region with lines (axes)

We have the region below the x axis (x = 0).

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3 years ago

Find an equation of the line passing through the pair of points (5,4) and (4,5). Write in slope intercept form

Lostsunrise [7]

$\text{Slope =} \dfrac{Y_2-Y_1}{X_2 - X_1}$

$\text{Slope =} \dfrac{5-4}{4-5} = -1$

Plug slope in the general equation : y = mx + b

y = -x + b

5 = -4 + b

b = 9

Plug y-intercept int the general equation:

y = -x + 9

Answer: y = -x + 9

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4 years ago