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Blizzard [7]
3 years ago
9

The following set of coordinates represents which figure?(-5,2), (-3,4), (1,0), (-1,-2)

Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
6 0
It is B, rectangle. Sort of sideways.
faltersainse [42]3 years ago
5 0

Answer:

Rectangle

Step-by-step explanation:

Kite is a quadrilateral in which exactly two pair of adjacent sides are equal.

Rectangle is a quadrilateral in which opposite sides are equal.

Square and rhombus are a quadrilaterals in which all sides are equal.

Given points: (-5,2), (-3,4), (1,0), (-1,-2)

We need to find whether these points represent coordinates of kite , rectangle , rhombus or square .

Let the points be A(-5,2), B(-3,4), C(1,0), D(-1,-2)

We know that distance between points \left (x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is given by \sqrt{\left ( x_2-x_1 \right )^2+\left ( y_2-y_1 \right )^2}

AB=\sqrt{\left (-3+5 \right )^2+\left (4-2 \right )^2}=\sqrt{4+4}=\sqrt{8}\\BC=\sqrt{\left ( 1+3 \right )^2+\left ( 0-4 \right )^2}=\sqrt{16+16}=\sqrt{32}\\CD=\sqrt{\left ( -1-1 \right )^2+\left ( -2-0 \right )^2}=\sqrt{4+4}=\sqrt{8}\\AD=\sqrt{\left ( -1+5 \right )^2+\left ( -2-2 \right )^2}=\sqrt{16+16}=\sqrt{32}

Here, AB = CD and AD = BC, so the given points are coordinates of the rectangle .

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Kim is watching a space shuttle launch from an observation spot 2 miles away. Find the angle of elevation from Kim to the space
hammer [34]

Answer:

<h2><em>46.4°</em></h2>

Step-by-step explanation:

Find the diagrammatic representation in the attachment given.

We can see that the diagram is a right angled triangle. To get the angle of elevation, we will use one of the trigonometry identity SOH, CAH, TOA.

Given the adjacent of the triangle to be 2miles (observation spot from the point of launch)and the opposite (side facing the elevation angle) as 2.1miles (the height), we will use TOA.

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∅ = tan⁻¹1.05

∅ = 46.4°

<em>Hence the angle of elevation from Kim to the space shuttle, which is at a height of 2.1 miles is approximately 46.4°</em>

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One Step Equations<br> solve for x <br><br> 2.4+x=9.8
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Step-by-step explanation:

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Answer:

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