What is the area of a rectangle with vertices at ​(0, −4)​, ​(−1, −3)​ , (2, 0), and (3, −1)? Enter your answer in the box. units²

Answers

Answer 1

Answer:

12

Step-by-step explanation:

Answer 2

Answer:

Area of the rectangle is [tex]6u^{2}[/tex]

How to find area of rectangle if the vertices are given:

Let the vertices be or the given vertices:

A [0,-4]

B [-1,-3]

C [2,0]

D [3,-1]

Area of rectangle is twice the area of triangle, i.e. if the area of rectangle is ABCD and area of triangle is ABC.

Area of triangle is given by determinant:

Area of triangle = 1/2 [x1, y1]

                              1/2 [x2, y2]

                              1/2 [x3, y3]

                              1/2 [x4,y4]

Putting all the values in this format we  will get :

Area of triangle = 1/2 [0×-4]

                              [-1×-3]

                               [2×0]

Because we have assume 0 as x1 and -4 as y2

-1 as x2 and -3 as y2

2 as x3 and 0 as y3

By solving that equation we will get:

1/2[ −4 0 1]

[−3,1,1]

[0,−2,1]

=1/2(−4⋅(1⋅1+1⋅2)−0+1⋅(6−0))

=1/2|-6|= [tex]3u^{2}[/tex]

= -3=[tex]3u^{2}[/tex]

= [tex]6u^{2}[/tex]

In a two-dimensional plane, a triangle's area is the space it encloses. Known for having three sides and three vertices, a triangle is a closed shape. The sum of the spaces occupied by a triangle's three sides is known as its area. Half of the product of a triangle's base and height is the usual formula for calculating its area.The area that is included within the perimeter of a flat object or figure is generally considered to be the definition of the word "area." The square units used for measuring are square meters as the standard unit (m2). There are already established formulas for calculating the area of squares, rectangles, circles, triangles, etc.

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Related Questions

if 5y -4 = 21, then y=

Answers

5y-4 = 21

Add 4 on both sides to isolate y. (get rid of -4)

5y = 25

Divide 5 on both sides to solve for y.

y = 5

Answer:

Y is equal to 5

Step-by-step explanation:

5y - 4 = 21

5y = 21+4

5y = 25

Y = 25 ÷5

Y = 5

HI GUYS PLEASE HELP ME...
NO ONES ANSWERINGGGGG I HAVE TIME LIMITT..
(u dont have to answer both..)

Answers

Answer:

The first one is 48

Step-by-step explanation:


$1200 are invested for three years at 6% compound interest.

a) How much is the investment worth at the end of three years?

b) How much interest has been earned?

Answers

Answer:

I think its A 1200

Step-by-step explanation:

a/27=16. What is the value for a? A 428 B 430 C 432 D 434

Answers

Answer:

C) a = 432

Step-by-step explanation:

[tex]\frac{a}{27}=16\\\rule{150}{0.5}\\(\frac{a}{27})27 = 16 (27)\\\\\boxed{a = 432}[/tex]

1. The Sky Tower in Auckland, New Zealand is the tallest man-made structure in the southern

hemisphere at a height of 328 meters. One of the popular tourist attractions in Auckland is

to jump off the top of the tower or to walk around the outside observation deck. On vacation, Sydney was walking around the outside of the Sky Tower and threw an apple with an initial velocity of 40 mph or 17.882 meters per second.

Part A: How many seconds will it take the apple to hit the ground (ignoring air resistance)? Round your answer to the nearest tenth of a second.

Answers




Explanation:It’s correct I just took the test .

Sophie is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $1.25 per mile driven. How much would a taxi ride cost if Sophie is riding for 4 miles? How much would a taxi ride cost that is m miles long?

Answers

Answer:

8.50 dollars

Step-by-step explanation:

1.25 per mile ==> 5 dollars for 4 miles

5+3.50(original cost) = 8.50

Complete the missing parts of the table for the following function. y = 3x X-2 - 2 - 1 У 1 9 [?] 0 1 2 3 1 [] 9 []​

Answers

Answer:

1/9, 1/3, 1, 3, 9, 27

Step-by-step explanation:

If 14+4=7+11 and 7+11 is equal to?

Answers

Answer:

18.

Step-by-step explanation:

11

+7

18

Basic addition.

What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?
–7
–3
0
4

i forgot how?

Answers

Answer:i can see what you write?

Step-by-step explanation: send it again

the y-intercept would be (0, -7) because that’s where it crosses on the y axis

You want to buy roses for your mother. Roses cost $2 per rose and a $10 fee for delivery. Write the equation to model this situation.

Answers

Answer:

10+2x

Step-by-step explanation:

The number of roses is the dependent variable but the fee is the constant.

What is X^4-82x^2+81=0

Answers

Answer:

The answer is either 9, -9, 1, or -1

Please help me I will give brainliest

Answers

Answer:

1/9 is c -2/12 is a -0.1 is b

Step-by-step explanation:

PLEASE PUT IN THE ANSWER THEN GIVE BRAINLEIST

If each of the following quadrilaterals are trapezoids, find the missing measures. Show your work.

Answers

Answer:

Step-by-step explanation:

Since this is a trapezoid, then we have TS is parallel to QR

so we have:

[tex]\angle T+\angle Q = 180^\circ\\\angle S + \angle R = 180^\circ[/tex]

since[tex]\angle T = 91^\circ, \angle R = 27^\circ[/tex]

The  measure of angle Q is 89 degree

The measure of angle S is 153 degree

Help me please. It’s for my geometry class and I don’t understand it.

Answers

Answer:

the answer is 29 degrees

Step-by-step explanation:

180 is the total of all the angles added together so if you subtract the 122 from 180 and divide by 2 you can get 29 for both and if you add it all together you should get 180 :)

Answer:

29

Step-by-step explanation:

pretty ez, so like a triangle got 180 degress total. what u gota do my man, is substract 122 from it.  And u get 58 and they both are equal so u divide by 2 and u get 29.

Find the area of the green region

Answers

Answer:

Step-by-step explanation:

so imagine each of the 4 white spaces are like 1/4 of a circle. In this case 3.5 cm would be the radius(r) of the circle, agree?

the area of a circle is pi * r²

pi =~3.14

circle area = 3.14 * (3.5 * 3.5)

circle area = 3.14 * 12.25

circle area = 38.465 cm²

Ok, now that we have the white area, the green area is basically the full area of the square minus the white area, agree?

the side of the square is 3.5 + 3.5, which is 7 cm

square area = 7 * 7

square area = 49 cm²

green area = 49 - 38.465

green area = 10.535 cm²

The fifth part of a number when increased by 5 equals its fourth part decreased by 5. Find the number.​

Answers

Question :-

The fifth part of a number when increased by 5 equals its fourth part decreased by 5. Find the number.

Required Solution :-

The number will be 200.

Explanation :-

Let the number be " x "

[tex]\qquad[/tex] ☀️It's given, the fifth part of a number when increased by 5 equals its fourth part decreased by 5.

[tex]\qquad[/tex] According to the question :-

[tex]\qquad \pmb{\sf\longrightarrow \dfrac{x}{5} + 5 = \dfrac{x}{4} - 5}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow \dfrac{x}{5 }- \dfrac{x}{4} = -5 -5}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow \dfrac{(4x - 5x)}{20} = -10}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow \dfrac{-x}{20} = -10}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow -x = -10 \times 20}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow -x = -200}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 200}}}}}}[/tex]

Therefore

The number will be 200.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Stacy shares 164 peppers equally between 5 of her friends. How many peppers does each friend get? How many are left over?

Answers

each friend will get 32 fully peppers and 4 will be leftovers
pls make me brainliest:)

Solve for each variable. Remember to SHOW YOUR WORK!
3(4n − 2) = 2n + 74

Answers

Answer:

n = 8

Step-by-step explanation:

3(4n − 2) = 2n + 74

12n - 6 = 2n + 74

12n - 2n = 74 +6

10n = 80

divided by 10

n = 8

write the equation of a line that is perpendicular to y=7/5x+6 and that passes through the point (2,-6)

Answers

Answer:

y=-5x/7-32/7

Step-by-step explanation:

Find the value of x.
16
40°
D
(Round to the nearest tenth as needed.)

Answers

Answer:

Hi

Step-by-step explanation:

So

Please awnser this question in the image

Answers

Answer:

The answer is B! :)

Step-by-step explanation:

The answer is b because -radical 7 is -2,64575

help asap for brainlist help asap

Answers

Answer:

4[tex]\sqrt{3}[/tex]

[tex]\frac{3x4}{\sqrt{3} }[/tex]

[tex]\frac{\sqrt{3}\sqrt{3}\cdot \:4}{\sqrt{3}}[/tex]

[tex]=\sqrt{3}\cdot \:4[/tex]

[tex]=4\sqrt{3}[/tex]

Step-by-step explanation:

not sure what to do here plz help

Answers

am i looking for the slope or what??

Paul needs to buy $50% more wood so he can make a workbench. He already has 12 square metres. If he buys 50% more, how much more will he have, and now how much will he have in total?

Answers

Answer:

Total 18

Much more will he have: 6

Step-by-step explanation:

50%= 6

12

Hello I need help
A farmer wants to fence in a rectangular area that is mile wide by mile long, as shown in the picture.

Which of the following proportions can the farmer use to calculate how many feet of fencing he will need?

No links pls 100 pts

Answers

Answer:

its number four the last one

Step-by-step explanation:

Answer:

[tex]\frac{\frac{3}{4} mi}{x}[/tex]=[tex]\frac{1 mi}{5,280 ft}[/tex]

Step-by-step explanation:

First find the perimeter of the rectangle to see the total length

2([tex]\frac{1}{8}[/tex])+2([tex]\frac{1}{4}[/tex])

[tex]\frac{3}{4}[/tex]

Then, because you are converting from miles to ft, you can use the ratio of miles/feet to determinte the correct ratio for the perimeter.

The correct ratio is [tex]\frac{1 mi}{5,280 ft}[/tex]

To set these ratios equal to eachother, first see that one side of the equation has miles as the unit, the other side has miles/feet, so you must divide the perimeter by feet to set the ratios equal to eachother.

Therefore, the correct equation is [tex]\frac{\frac{3}{4} mi}{x}[/tex]=[tex]\frac{1 mi}{5,280 ft}[/tex]

Please help with this?

Answers

Answer:

100987

Step-by-step explanation:

So you would need to times all of them and then after that you would need to divide the bottom and top by your choice of number like divide by 5 and walla your answer

https://media.tenor.com/images/fdd35e278f84fbff5d3ffbb197b174a8/tenor.gif

Which equation represents a constant of proportionality of 25? *

12 points

F. x + 25 = y

G. 25x = y

H. x − 25 = y

J. 5x = y

Answers

Answer:

G

Step-by-step explanation:

An equation of proportionality has the form

y = kx ← k is the constant of proportionality

y = 25x ← has this form with k = 25

y = 5x ← has this form with k = 5

The required equation is y = 25x with k = 25 → G

Can anyone help me with this question please ?

Answers

Answer:

A

Step-by-step explanation:

y intercept x=0

y= 3(2)^0

y=3

Help please and thank you

Answers

Answer:

A --> 57

Step-by-step explanation:

you can find the linear pair on YH by getting 180 and subtracting it by 106 giving 74. Add 74 and 49 to get 123. The rule with triangles is that all angles inside one equal 180 so get 180 and subtract it by 123 which gets you 57.

The ratio of the ages of father and son is 5:2. The summation of their present ages is 49 years. After how many years, the age of the father will be triple the age of son?

Answers

The answer to your question is 147 yrs if u add them both but if not then 70 yrs because 1 ratio is equal to 7 yrs so if 5:2 then 5 for father is 35 and 2 for son is 14
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