Find the area of the polygon with the coordinates (1, 2), (3, 2), (3, 0), and
(1,0).
2 sq. units
8 sq. units
4 sq. units
16 sq. units

Answers

Answer 1

Answer:

4 sq. units

Step-by-step explanation:

Since the polygon has 4 vertices, hence the polygon is a quadrilateral with four sides and four angles.

We can see that for this polygon, opposite sides are parallel and equal to each other.

To find the area of the polygon, we have to first get the length of the polygon and then the width of the polygon, hence:

The length is the distance between (1, 2) and (3, 2):

[tex]length=\sqrt{(3-1)^2+(2-2)^2} =2\ units\\[/tex]

The breadth is the distance between (3, 2) and (3, 0):

[tex]length=\sqrt{(3-3)^2+(0-2)^2} =2\ units\\[/tex]

Since length = breadth, hence this is a square.

Area= length * breadth = 2 * 2 = 4 sq. units


Related Questions

How many solutions does the nonlinear system of equations graphed below
have?
• A. One
• B. Two
• C. Four
O D. Zero
SUBMIT

Answers

I’m not to sure but I think it’s 4 solutions

What is –70 divided by 700


PLZ HELP ME!!!

Answers

Answer: -0.1

Step-by-step explanation: Calculator

Hello!

-70 : 700 = -0,1 answer

Good luck! :)

What is the value of x?



Enter your answer in the box.

Answers

The answer is x = 9, hope this helps- mark brainliest if you can please thanks
Not 100% sure but I got 9.126 for x

You usually buy a 16.5 16.5 -ounce bottle of shampoo. There is a new bottle that says it gives you 30% 30 % more free. Use the drop-down menus to build an equation that could be used to find the size of the larger bottle,

Answers

Answer:

21.45 oz

Step-by-step explanation:

(16.5*0.3)+16.5=x

(4.95)+16.5=x

21.45

Answer:

top x-16.5

bottom 16.5

Step-by-step explanation:

im right

The current population of Fun City is 21000 people. If the population of the city will double every 51 years then the population after 171 years would be

Answers

Answer:

The population of Fun City after 171 years would be 214563.

Step-by-step explanation:

The statement depicts a case of exponential growth, whose model is described below:

[tex]p(t) = p_{o}\cdot r^{\frac{t}{T} }[/tex] (1)

Where:

[tex]p_{o}[/tex] - Initial population, no unit.

[tex]p(t)[/tex] - Current population, no unit.

[tex]r[/tex] - Growth rate, no unit.

[tex]t[/tex] - Time, in years.

[tex]T[/tex] - Growth period, in years.

If we know that [tex]p_{o} = 21000[/tex], [tex]r = 2[/tex], [tex]t = 171\,yr[/tex] and [tex]T = 51\,yr[/tex], then the population of the city after 171 years is:

[tex]p(t) = 21000\cdot 2^{\frac{171}{51} }[/tex]

[tex]p(t) = 214563[/tex]

The population of Fun City after 171 years would be 214563.

The second number in an ordered pair of numbers that corresponds to a point on a coordinate system is the
y-value.
x-value.
rate.
constant of proportionality.

Answers

Answer:

y value

Step-by-step explanation:

when you write an ordered pair the first number is your x and the second number is your y. these make a point on a graph.

(x,y)

Answer:

a

Step-by-step explanation:

Solve the qn in attachment .​

Answers

Answer:

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Step-by-step explanation:

The given expression to us is ,

[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]

Now take the LCM as ( x - 1 ) and Simplify , we have ,

[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]

Simplifying further , we get ,

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Hence the second option is correct .

Answer:

[tex] \frac{ \frac{3}{x - 1} - 4 }{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1) - 2}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2 - 2 } \\ \frac{7 - 4x}{2(x - 2)} \\ option \: b \: is \: your \: answer \\ thank \: you[/tex]

The graph below have the same shape. What is the equation of the graph?

Answers

Answer:

C

Step-by-step explanation:

The graph has been translated down 4 units and moved to the right 2 units

so correct answer is C (x-2)^2-4.


6. Write an equation of a line that is Parallel to the line: y = 3x -3

Answers

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

[tex]\rm\implies y = 3x - 3 [/tex]

Slope Intercept Form :-

[tex]\rm\implies y = mx + c [/tex]

where ,

m is slopec is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

Using point slope form :-

[tex]\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}[/tex]

Complete the remainder of the table for the given function rule: y= x/4 + 7

Answers

Let's replace x with -4 and simplify

y = (x/4) + 7

y = (-4/4) + 7

y = -1 + 7

y = 6

This means x = -4 and y = 6 pair up together.

So 6 goes in the box under the -4

----------------------------------------------------------

Repeat those steps for x = 0

y = (x/4) + 7

y = (0/4) + 7

y = 0 + 7

y = 7

So 7 goes in the box under the 0

----------------------------------------------------------

Let's repeat those steps for x = 4

y = (x/4) + 7

y = (4/4) + 7

y = 1 + 7

y = 8

So 8 goes in the box under the 4

----------------------------------------------------------

Lastly, for x = 8, we get

y = (x/4) + 7

y = (8/4) + 7

y = 2 + 7

y = 9

9 goes in the box under the 8

----------------------------------------------------------

The y outputs we got were: 6, 7, 8, 9

Notice how each time y increases by 1, x goes up by 4.

This means slope = rise/run = 1/4

We can think of x/4 as (1/4)x to help see that the slope is 1/4.

A function assigns the values. The value of the y in the given table should be 6, 7, 8, and 9, respectively.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function of the x and y is given y=(x/4)+7, use this function to find the value of y for the given values of x. Thus,

x = -4

y = (-4/4)+7

y = -1+7

y = 6

x = 0

y = (0/4)+7

y = 7

x = 4

y = (4/4)+7

y = 8

x = 8

y=(8/4)+7

y = 9

Hence, the value of the y in the given table should be 6, 7, 8, and 9, respectively.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

Simplify:

-4a + 2(a + 9)

A. -2a + 9
B. -2a + 18
C. 2a + 9
D. 2a + 18

Answers

Answer:

B. - 2a + 18

Step-by-step explanation:

- 4a + 2( a + 9 )

= - 4a + 2a + 18

= - 2a + 18

Answer:

B

Step-by-step explanation:

got it right on edge :))

The sum of the angles of all the sectors in a pie chart should add up to ???

a). 180⁰
b). 90⁰
c). 360⁰

Answer me please ... ​

Answers

Answer:

C

Step-by-step explanation:

Since the sectors all meet at the centre of the circle, then

The angles around a point sum to 360° → A

90°... See More

https//90°.com

please answer asap ------------------ ------------------ ------------------ ------------------

Answers

Answer:

Answer :

It's 3v - 9/2

Step-by-step explanation:

....

HELP I AM TIMED. Determine whether the equation is an identity or not an identity.

Answers

Answer:

It is not an identity

Step-by-step explanation:

There are 10 common trig identities which I am aware of.

Some are in the image attached

The first image is known as b

Basic Identities

The second are known as Trigonometric / Pythagorean Identities .

The third : Co-function identities

and many more.

I'm only allowed to post five images so that's all I have.

NEED HELP ON This!! 5 points!!!

Answers

Answer:

Step-by-step explanation:

Relations are functions if you can run a perfectly vertical line through it and it only goes through the graph in one place each time. This is a function.

A relation is one to one if it passes the horizontal line test. In other words, if you run a perfectly horizontal line through this graph, it will pass through in more than one place.

Summary: it is a function, but it is not one to one. Last choice shown.

what is the x-intercept of the line shown below enter your answer as a coordinate pair

Answers

Answer: (-2, 0)

Step-by-step explanation: The x-intercept is the point where a line crosses or intersects the x-axis. In this case, the point is intersecting the x-axis 2 units to the left of the origin or at the point (-2, 0).

Find the area of the figure below

Answers

Answer:

35.2 cm²

Step-by-step explanation:

The area is:

A = 2(3.5*2) + 7*2 + 2(1.8*2) = 35.2 cm²

We can find the area,

→ 2(3.5 × 2)+ (7 × 2) + 2(1.8 × 2)

→ 14 + 14 + 7.2

→ 35.2 cm²

Thus, the area is 35.2 cm².

Problem 2. Joe has 7 shirts 4 pairs of pants and 2 pairs of shoes.He needs to make an outfit containing one of each item.How many different outfits are possible?

Answers

Answer:

56 different outfits

Step-by-step explanation:

Four pounds of tea and 5 pounds of coffee cost $88.30, while 9 pounds of tea and
six pounds of coffee cost $144.60. What is the cost of each per pound?
Cost of 1 pound of tea = $4.78 and cost of 1 pound of coffee = $12.88
Cost of 1 pound of tea = $9.20 and cost of 1 pound of coffee = $10.30
O Cost of 1 pound of tea = $8.20 and cost of 1 pound of coffee = $10.30
O Cost of 1 pound of tea = $9.20 and cost of 1 pound of coffee = $9.30

Answers

Answer:

Cost of 1 pound tea is $ 9.2.

Cost of 1 pound coffee is $ 10.3.

Step-by-step explanation:

Let the cost of tea is $ per pound and cost of coffee is $ q per pound.

4 p + 5 q = 88.30 .... (1)

9 p + 6 q = 144.60 ....(2)

Solving (1) and (2) we get

p = $ 9.2

q = $ 10.3

I need help ASAP!

List the fractions and decimals in order least to greatest.

Question1. 2.3 , 2 4/5 , 2.6

Question 2. 0.5 , 3/16 , 0.75 , 5/48


Who ever helped me thank you :D

Answers

Answer:

Q1: 2.3, 2.6, 2 4/5

Q2: 5/48, 3/16, 0.5, 0.75

Step-by-step explanation:

that should be correct sorry if im wrong

Answer: The answer is already completed

Step-by-step explanation:

find the area of the shape below​

Answers

Answer:

34?

Step-by-step explanation:

I think 34 because 3×3 is equal to 9. 5×5 is equal to 25. If you add 9+25, you would get 34.

Answer:

24 cm²

Step-by-step explanation:

the area = ½× (3+3) × (5+3)

= ½× 6×8

= 3×8

= 24 cm²

Emilio compro 3 bolitas y pago 180 en total. Carlos compro 4 bolitas y pago 200 en total ¿Quién pago menos por cada una de las bolitas que compro?

Answers

Answer:

emilio:

3 bolitas = 180

1 bolita = 60

carlos:

4 bolitas = 200

1 bolita = 50

carlos pago menos.

What fraction of 300 gallons is 117 L? Give your answer in simplest form. 1 gallon = 4.5 L.

Answers

Answer:

Use proportions to find the gallon equivalent of 117 L:

[tex]\frac{1gal}{4.5L} =\frac{Xgal}{117L}[/tex]

Cross-multiply & solve:

[tex]4.5x=117\\x=26[/tex]

So 117 L = 26 gallons

Out of 300 gallons, it's

[tex]\frac{26}{300} =\frac{2(13)}{2(150)} =\frac{13}{150}[/tex]

I hope this is how you're suppose to solve it..


[tex]solve \: this \: \\ \\ 2a + 5b + 7a + 3b - 2a + 3c[/tex]

Answers

Answer:

7a + 8b + 3c

Step-by-step explanation:

Group together like terms and simplifyy

Answer:

7a + 8b + 3c

Step-by-step explanation:

2a + 5b + 7a + 3b - 2a + 3c

= 2a - 2a + 7a + 5b + 3b + 3c

= 7a + 8b + 3c

which eqation represents the line that passes through (-6, 7) and (-3, 6)

Answers

Answer:

The answer is y= - ⅓x + 5 in slope intercept form and y-7 = - ⅓ (x + 6) in point slope form.

A swimmer can swim 50.2 meters in 1 minute. How far can he swim in half an hour? *

Answers

Answer:

1506meters

Step-by-step explanation:

1hour-60minutes

which means half an hour is 30minutes,so it's more like they are asking you to find how far the swimmer can swim in 30minutes

50.2-1min

x -30min

x=50.2×30

x=1506meters

1 hour - 60 mins
Half an hour - 60 x 1/2 = 30

30 minutes = 30 x 50.2 = 1506 metres

3y+30=6x

What is the solution to the system?

Answers

Answer:

6x+y=30

-9x+3y=-18

Solving by substitution means that you have to express one of the variables (from one the equations) through the other one and substitute in the second equation.

In this example it is easier to express y through x in the first equation: y=30-6x. Put the expression for y in the second equation and solve for x.

-9x+3(30-6x)=-18 (divide by -3)

3x-30+6x=6

9x=36

x=4,  

y=30-6x=30-24=6

 

Step-by-step explanation:

en el diagrama de venn donde van ubicados estos numeros?
0,88888....
1 sobre 7 pi
-6 sobre 3
4E
55 sobre 0
56 sobre 9
-0,65999999

Answers

Answer:

Step-by-step explanation:

How would I write this equation? Looking for an answer ASAP.

Answers

Answer:

dssadsasdsa

Step-by-step explanation:

ignore this need points for alt

You offer to sell a used car for $1,895. Yesterday you purchased the car for $1,755. What percentage markup on cost are you charging (to the nearest tenth)?

Answers

Answer:

8.0%

Step-by-step explanation:

1. [tex]1895-1755=140[/tex]

2.[tex]\frac{140}{1755} =0.07977208[/tex]

3. 8.0%

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