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3 years ago

Name the equation for any horizontal line of your choosing

Mathematics

1 answer:

Lerok [7]3 years ago

5 0

Answer:

y=0 (x-axis itself)

Step-by-step explanation:

A horizontal line is a line which is parallel to x-axis

It has a slope of 0

Any line whose slope is m can be represented as

y = mx + c

Here m=0

y=c where c is a constant

Any line whose equation is of the above form is a horizontal line.

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A rhombus is a four-sided figure with all sides the same length.

kumpel [21]

The perimeter of the rhombus FGHJ is 20 units

<h3>How to graph the rhombus</h3>

The coordinates are given as:

F = (-2, -2)

G = (-2, 3)

H = (2, 6)

From the question, we understand that vertex J is directly below vertex H.

This means that vertices H and J have the same x coordinate.

So, we have

J = (2, y)

The distance between F and G is 5 units,

So, we have

J = (2, y - 5)

Where

y = 6 i.e. the y coordinate of H

This gives

J = (2, 6 - 5)

Evaluate

J = (2, 1)

See attachment for the graph of the rhombus

<h3>The perimeter</h3>

In (a), we have:

The distance between F and G is 5 units,

This means that

FG = 5

The side lengths of a rhombus are equal.

So, the perimeter is

P = 4 * FG

This gives

P =4 * 5

Evaluate

P = 20

Hence, the perimeter of the rhombus is 20 units