(05.05 LC)

Mathematics

1 answer:

Setler [38]4 years ago

3 0

The length of side PQ of the polygon is 7 units

Step-by-step explanation:

Given points are:

P(5, 4) and Q(−2, 4)

In order to find the length of PQ, the distance formula for coordinate geometry will be used.

The distance formula is given by:

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Here

(x1,y1) = (5,4)

(x2,y2) = (-2,4)

$PQ = \sqrt{(-2-5)^2+(4-4)^2}\\=\sqrt{(-7)^2+(0)^2}\\= \sqrt{49}\\= 7\ units$

Hence,

The length of side PQ of the polygon is 7 units

Keywords: distance formula, coordinate geometry

Learn more about distance formula at:

#LearnwithBrainly

You might be interested in

The sphere's radius is one-third the radius of the hemisphere. How does the volume of this hemisphere compare with the volume of

liraira [26]

Volume of the sphere = 3/4 pi r^3

The spheres radius is one third of the hemisphere's so radius of hemisphere = 3r
Volume of the hemisphere = 1/2 * 4/3 pi (3r)^3
= 2/3 * 27 pi r^3
= 18 pi r^3
So vol hemisphere / vol sphere = 18 pi r^3 / 4/3 pi r^3 = 18 * 3/4 = 13.5

Hemisphere is 13.5 times the volume of the sphere.

6 0

3 years ago

Read 2 more answers

Gio ran 5 miles yesterday. This distance is 80% of the distance he planned to run.

aleksklad [387]

Answer:

Gio planned to 6 miles.

Step-by-step explanation:

this is because 5 - 80% = 1

which means he wanted to run 1 more mile

which also means that he planned to run 6 miles

3 0