A parallelogram has vertices (5,0), (3, -3), (-4, -3) and (-2, 0) The
diagonals of the parallelogram intersect at their midpoints. A. What are the coordinates of the
intersection of their diagonals? Justify the answer algebraically.

Answers

Answer 1

Answer:

(0.5 , -1.5)

Step-by-step explanation:

intersection of their diagonals (E): right at the mid-point of segment AC or BD

A (5 , 0)  and C (-4 , -3): E (x , y)

x = (5 + -4 ) / 2 = 0.5

y = (0 + -3 ) / 2 = - 1.5

E ( 0.5 , - 1.5)

check with BD: x = (3 + -2) / 2 = 0.5        y = (-3 + 0) / 2 = - 1.5

A Parallelogram Has Vertices (5,0), (3, -3), (-4, -3) And (-2, 0) Thediagonals Of The Parallelogram Intersect

Related Questions

Stefan sells Jin a bicycle for ​$125 and a helmet for ​$18. The total cost for Jin is ​130% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

PLEASE TELL ME AN ANSWER, THIS TEST IS DUE IN 5 MINUTES.

Answers

Answer: The selling cost for Stefan bicycle = $114 and

the selling cost of a helmet = $18.

The total cost for Jin is 120% of the money spent.

Let us assume purchasing cost of a bicycle = $x.

Purchasing cost of a halmet = $y.

For bicycle

120% of x is $114  

=>  1.20 × x = 114

Dividing both sides by 1.20, we get

x=$95.

For helmet.

120% of y is $18.

=> 1.20 × y = 18.

Dividing both sides by 1.20, we get

y = $15.

Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet.

$114 - 95 = $19

$18 - 15 = $3.

Therefore, he made $19 by selling the bicycle and $3 by selling the helmet to Jin.

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

how many rectangles with an area of 10 square feet can fit within a large rectangle with dimensions 25 feet by 40 feet?​

Answers

Answer:

100 small rectangles

Step-by-step explanation:

Number of small rectangles = Area of large rectangle ÷ area of small rectangle

               [tex]= \frac{25*40}{10}\\\\= 25*4\\= 100[/tex]

What is the equation of the line that passes through the point (4, 12) and has a y-intercept of -2?
A y = 12 x - 2
B. y = {x-2
C y = 2x - 2
D. y = 6x - 2

Answers

Answer:

The answer is D.

Step-by-step explanation:

:DDDDDDDDD

An ice cream factory makes 120 quarts of ice cream in 2 hours. How many quarts could be made in 36 hours?

Answers

Answer:

2,160

Step-by-step explanation:

Answer:

2160 quarts in 36 hours would be made

Step-by-step explanation:

120÷2=60

60×36=2160

Help I will be marking brainliest!!!

A. 4.95 feet
B. 21.44 feet
C. 22.58 feet
D. 21.99 feet

Show work, if possible. Thanks❤️

Answers

Answer:

B

Step-by-step explanation:

A right triangle is formed by the ground, the side of the house and the ladder.

The hypotenuse is the ladder

let the side of the house be h

Using the sine ratio in the right triangle formed, then

sin77° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{22}[/tex] ( multiply both sides by 22 )

22 × sin77° = h , then

h ≈ 21.44 ( to the nearest hundredth )

The ladder reaches 21.44 ft up the side of the house

How do you solve g(x)=x^2 - 324

Answers

Answer:

I don't see how you can get a solution.

Step-by-step explanation:

You cannot factor or evaluate that problem with values for x or g(x)

A cylinder has a height of 10 inches and a radius of 5.5 inches. What is the
approximate volume of this cylinder?

A. 949.85 in 2
B. 949.85 in 3
C. 550.2 in 3
D. 550.2 in 2

Answers

Answer: 949.85 in 3

Step-by-step explanation:i took the test lol

1) The region enclosed by the x-axis, the line x=3 and the curve y = sq. Rt x is rotated about the x-axis. What is the volume of the solid generated? *

Answers

Using the disk method, the volume would be

[tex]\displaystyle \pi \int_0^3 (\sqrt x)^2 \,\mathrm dx=\pi \int_0^3 x\,\mathrm dx=\frac\pi2 x^2\bigg|_0^3=\boxed{\frac{9\pi}2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral.

In this exercise we have to use the knowledge of the integral to calculate the volume of the disk that will correspond to:

[tex]V= \frac{9\pi }{2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral. Using the disk method, the volume would be:

[tex]\pi \int\limits^3_0 {(\sqrt{x})^2} \, dx = \pi \int\limits^3_0 {x} \, dx = \frac{\pi x^2}{2} = \frac{9 \pi }{2}[/tex]

See more about volume at brainly.com/question/1578538

PLEASE HELP ME!!! ILL MARK BRAINLIESY

Answers

Answer:

So, the answer is 7 y

Step-by-step explanation:

Both arrows are pointing toward the 7 and it is in y! I have been in 12 grade already so dont worry :)

3w+16>6+4w

I’ll mark brainless

Answers

Answer:

w<10

Step-by-step explanation:

 I am really tired and I dont feel like showing all my work, unless you want me to then just ask

Answer:

3w+16=0>6+4w=0

3w=-16>4w=-6

w=-16/3>w=-6/4

w=-16/3>w=-3/2

Please help and please don't answer just for the points I'll report you

Answers

Answer:

Length of sandbox (3w + 1) = 9.1 m

Width of sandbox = 2.7 m

Step-by-step explanation:

[tex]w(3w + 1) = {5}^{2} \\ \\ 3 {w}^{2} + w = 25 \\ \\ 3 {w}^{2} + w - 25 = 0 \\ \\ equating \: it \: with \\ \\ a {x}^{2} + bx + c = 0 \\ \\ a = 3 \\ b = 1 \\ c = - 25 \\ \\ {b}^{2} - 4ac \\ = {1}^{2} - 4 \times 3( - 25) \\ \\ = 1 + 300 \\ \\ = 301 \\ \\ w = \frac{ - 1 \pm \sqrt{301} }{2 \times 3} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ considering \: only \: + ve \: sign \\ \\ w = \frac{ - 1 + 17.3493516 }{6} \\ \\ w = \frac{16.3493516 }{6} \\ \\ w = 2.72489193 \\ \\ w = 2.7 \: m[/tex]

3w + 1 = 3*2.7 + 1 = 8.1 + 1 = 9.1 m

What is the explicit rule for the sequence:
11, 22, 44, 88...

Answers

Answer:

Geometric Progression is the explicit rule for the given sequence: 11, 22, 44, 88...

First term (a) = 11

Common ratio (r) = 22/11 = 44/22 = 88/44 = 2

Formula used in Geometric Progression is :---

[tex]\boxed{a_n = a {r}^{(n - 1)}}✓\\ [/tex]

where, 'n' is the required term

1. Find the slope and the y-intercept
of the graph of the linear equation.
y = -7x + 2
1
A) slope: -1/7; y-intercept: 2
B) slope: 1/2; y-intercept: -7
C) slope: -7; y-intercept: 2
D) slope: 2; y-intercept: -7

Answers

Answer:

the answer is C..................

plz help me with this and plz show ur work!?! :)

Answers

Answer:

Total height lowered = 75m

No of times balloon lowered = 5

Height lowered in each lowering = Total height lowered / No of times balloon lowered

                                                      = 75 / 5

                                                     = 15 m

The number indicated that each time balloon is lowered by 15 m

If Evan has 3 Jars of Cookies and each jar holds 18 cookies how many cookies does Evan have?

Answers

Answer:54 cookies in total

Step-by-step explanation: 3x18=54

Answer: 54 cookies in all

Step-by-step explanation: Evan has 54 cookies because if you do 18x3 you get 54, or if you do 18+18+18 you get 54.

=

Write the equation of the line in fully simplified slope intercept form”

Answers

Answer:

I think y=-5 , x = 3

Answer:

y = 5/3x - 5

Step-by-step explanation:

Slope = rise / run

The distance between two points is 5 up and 3 right. Hence, 5/3x is the slope.

-5 is where the line crosses the y axis, making it the y-intercept.

what is 10 to the 100th power

Answers

Answer:

EZ!!! 1e+100

Step-by-step explanation:

A $400 deposit for 7 years at a compound interest rate of 2%

Answers

Answer:

The final balance is $853.63.

The total compound interest is $453.63.

The compound interest on initial balance is $59.47.

The compound interest on additional deposits is $394.16.

The final balance of initial money is $459.47.

The final balance of additional deposit is $394.16.

The sum of the additional deposits is $0.

The total principal (initial balance plus total additional deposits) is $400.

Step-by-step explanation:

with the information you provided

choose as brainliest



A local florist has roses $35 per dozen.
You only want to buy 1.
How much will it cost you?

Answers

Answer:

$2.92

Step-by-step explanation:

35/12 = 2.91666666667

1 rose = 2.91666666667 = $2.92

PLSSS HELPP I BEGG What is the solution to the system of linear equations graphed below?​

Answers

Answer:

No solution

Step-by-step explanation:

because the are parallel lines they never meet so they are inconsistent so there is no solution

what is 72% of 250? I need help I have a d in math

Answers

Answer:

180

Step-by-step explanation:

72% of 250

72% x 250

72/100 x 250 = 180

I hope im right!!

The answer is 180
72/100*250= 180

Find the sale price of a $45 item after a 20% discount.

Answers

Answer:

36$

Step-by-step explanation:

the answer is $36, becau

An apple pie that has a 9-inch diameter is cut into six pieces. Lucas takes one slice of pie and sprays whipped cream in an arc along the curved edge of his piece. What is the length of Logan's arc
of whipped cream?
A
4.71 in
B
9.42 in
С
18.8 in
D
10.6 in

Answers

the answer would be A 4.71 inches

How Do I solve this? Answer too please.

Answers

The answer is 5/4 because that’s what you multiply the left triangle dimensions by to get the right triangle dimensions

Steph has 7 gallons of water josh has 26 quarts of water how many more cups of water does Steph have than josh

Answers

Answer:

8 CUPS

Step-by-step explanation:

We have to convert gallons and quarts to cups and subtract the values

1 gallon = 16 cups

7 gallons = 7 x 16 = 112 cups

1 quart = 4 cups

26 quarts = 26 x 4 = 104 cups

112 - 104 = 8 cups

WILL GIVE BRAINLIEST Find the solution of the system of equations.
−x−3y= −3
x−6y= −24

Answers

ur answer is hopefully be 4

Calculate the rise and run between any two coordinates to find the slope of each line ...

Answers

For the first one its a slope of -2/3

The second one is 4/5

and the third one is -1/7

PLS HELP I'LL GIVE THE BRAINLEST
Select the correct graph
Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles/hour. If x represents the time spent driving and y represents the distance from his aunt's house, which scatter plot could represent this situation?​

Answers

Answer: The graph on bottom right

Step-by-step explanation:

It’s the only one that correctly depicts the time (6 hours) and distance (300 miles) traveled. Starting at zero miles and zero drive time, it’s the only one that goes through 300 miles over a period of 6 hours.

Answer:

top right

Step-by-step explanation:

sorry if wrong

Help me with this please! And thanks

Answers

The answer is 6,8,10.

Not only it is in perfect ratio with 3,4,5 as stated above, it also proves right in the equation. I can assume that a=6,b=8,and c=10, so [look in image]

Find the value of x. *

Answers

Answer:

x = 11

Step-by-step explanation:

6x + 7 = 73   {Alternate interior angles}

    6x  = 73 - 7

    6x = 66

      x = 66/6

     x = 11

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