ANSWER ASAP (WILL MARK BRAINLIEST)

(05.05 LC)

Setler [38]

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

3 0

4 years ago

Express 28^1/2 in simplest radical form.

Reptile [31]

Answer:

Step-by-step explanation:

28^1/2=√(28)=√(4×7)=2√7

3 0

3 years ago

The following data represents the serum HDL cholesterol level for a random sample of 40 male 20- to 29-year old patients. 70 56

Afina-wow [57]

This is too much good luck finding the answer

3 0

3 years ago

Three houses A B and Clie on the same line on a map. House Blies exactly in the middle of house A and house C The point (3,6) on

Svetlanka [38]

Answer:

(-13, -12)

Step-by-step explanation:

The midpoint (x,y) between two points ( $x_1,y_1$ ) and ( $x_2,y_2$ ) on the coordinate plane is given by:

$x=\frac{x_1+x_2}{2};\\\\y=\frac{y_1+y_2}{2}$

Hence given that house A is at (3, 6) and house B is at (-5, -3). Since house B is placed at the middle of house A and house B, let the coordinates of house C be ( $x_2,y_2$ ). Hence:

$-5=\frac{3+x_2}{2\\} \\3+x_2=-10\\\\x_2=-10-3\\\\x_2=-13$

$-3=\frac{6+y_2}{2\\} \\6+y_2=-6\\\\y_2=-6-6\\\\y_2=-12$

Therefore house C is at (-13, -12)

3 0

3 years ago

In a group of 50 patrons, 12 patrons like lattes and espressos, 9 patrons like espressos and cappuccinos, 8 patrons like lattes

quester [9]

I used a Venn Diagram which I attached.
Think of it as a flower and work your way from the center out to the doubles (two kinds of coffee) and finally the singles (only one kind of coffee)
I place 4 in the center to represent the people that like all three.
Then I put 8 in the Latte Espresso group since they along with the 4 who like all three, make up the 12 who like lattes and espresso. I put 4 in the Latte & Cappuccino group since they and the 4 who like all coffees, make up the 8 who like lattes and cappuccinos. And then I put 5 in the Espresso Cappuccino group who along with the 4 in the middle make up the 9 who like both of those.
In all 20 like lattes and my latte circle already has 16 so I added 4 (who only like lattes). 22 like espresso and I have accounted for 17 (8+4+5) so that means there are 5 who only like espresso. Finally out of the 17 who like cappuccinos, 13 are already accounted for so I will add 4 who like only cappuccinos.
Since there are 50 people and I can account for 34 of them (add all the numbers in all three circles), there must be 50-34 people who don't like any. The correct answer is d.16

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3 0

4 years ago

Read 2 more answers