The coordinate of the vertices of parallelogram CDEH are C(-5,5), D(2,5), E(-1,-1), and H(-8,-1). What are the coordinates of P, the point of intersection of diagonals CE and DH?

Answers

Answer 1

Given:

Vertices of a parallelogram are C(-5,5), D(2,5), E(-1,-1), and H(-8,-1).

P is the intersection point of diagonals CE and DH.

To find:

The coordinates of P.

Solution:

We know that, diagonals of a parallelogram always bisect each other. It means the intersection point of the diagonal is the midpoint point of both diagonals.

We can find the midpoint of either diagonal CE or diagonal DH to get the coordinates of intersection point of diagonals, i.e. P.

So, point P is midpoint of CE. So,

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]P=\left(\dfrac{-5+(-1)}{2},\dfrac{5+(-1)}{2}\right)[/tex]

[tex]P=\left(\dfrac{-5-1}{2},\dfrac{5-1}{2}\right)[/tex]

[tex]P=\left(\dfrac{-6}{2},\dfrac{4}{2}\right)[/tex]

[tex]P=\left(-3,2\right)[/tex]

Therefore, the coordinates of point P are (-3,2).


Related Questions

(Help needed pls) Ricks age is 5 years less than three times Jons age. Which equation represents Ricks age (r)
A) j= 3j + 5
B) r= 3j - 5
C) r= 5j - 3
D) j= 3 x 5 = r

Answers

Answer:

It would be B

Step-by-step explanation: 3j represents johns age x 3 - 5 years.

Which is the equation that ultimately represents ricks age.

HELP ASAP I will mark brainliest PLEASE No ones helping me

Answers

Answer:

Option D is the answer hope it helps :)

Step-by-step explanation:

PLEASE help me i will make brainliest if correct

Answers

Answer:

neither

Step-by-step explanation:

there is only one side on the big triangle and each of the little ones

plz help me with question

Answers

Answer:

Q 2 = B

Q3 = B

Q4 = C

Step-by-step explanation:

Q2 = B because if you do: cost per person ÷ Entrance cost

the proportinality will be correct

Q3 = B because 2 x 3.5 =7

4 x 3.5 = 7, so on and so forth.

Q4 = C because a pizza cost $15 with no topings. So if it has 2 toppings that will be 2x2 + 15 = $19. And they're asking you to find the cost of a pizza with two toppings

Hope this was helpful :>

Solve for x :
7x = 2

Answers

Answer:

x=2/7

Step-by-step explanation:

You were offered a loan of $8,450 with an APR of 9.3%. The term for the loan is 5 years. Determine how much your monthly car payment will be.

Answers

I believe that it would be 8,435.7 if it is subtract

Can you help me answer them

Answers

Answer:

a) =5+2p+6

= 11+2p

b)=3+5x-10

= -7+5x

c)= 10+6b+10

= 20+6b

d) = 7s-4s+4

= 3s+4

f)=2x+2+3

= 2x+5

g)= 6w+6+5w

= 11w+6

h)= 2p-2p+7p

= 7p

i)= 8x- 12x + 3x

= -1x

Hope that helped

PLS HELP GIVE BRAINLIEST
An electric company charges Jerome $0.05 per kilowatt-hour of energy he uses in his house. If Jerome was charged $36 by the electric company, how many kilowatt-hours of energy did Jerome use?
A. 0.0014
B. 1.8
C. 180
D. 720

Answers

Answer:

B 1.8

Step-by-step explanation:

Tout teacher las disableu nislali malking Tour airs will apped alle ule uue date
In a class of 34 students, 19 of them are girls.
What percentage of the class are girls?
Give your answer to 1 decimal place.

Answers

9514 1404 393

Answer:

  55.9%

Step-by-step explanation:

The percentage is found by multiplying the fraction by 100%.

  19/34 × 100% ≈ 55.9%

About 55.9% of the class are girls.

Can someone help me please .

Answers

P _< 172 should be correct
I’m pretty sure it’s D

Use the distributive property
write an equivalent expression.
26 + 2.9 =

Answers

28.9 I think is this, I hope this help


please help me i need to solve for RS

Answers

Answer:

        RS = 47

Step-by-step explanation:

RV=VU and SW=WT    ⇒    [tex]VW=\dfrac{RS+UT}{2}[/tex]

So:

[tex]3x+5=\dfrac{2x+15+6x-37}{2}\\\\3x+5=\dfrac{8x-22}{2}\\\\3x+5=4x-11\\^{\qquad-5\qquad-5}\\3x=4x-16\\^{-4x\qquad-4x}\\-x=-16\\^{\div(-1)\quad\div(-1)}\\x=16\\\\RS=2x+15=2\cdot16+15=32+15=47[/tex]

I'm so stuck rn.. AHHHHHHHHHHHHHH

Answers

Given:

5) The expressions are

[tex]16x+24y+32[/tex]

[tex]8(2x+3y+4)[/tex]

[tex]4(4x+24y+8)[/tex]

7) The expression is

[tex]7(3-x)+15x[/tex]

To find:

5) Whether the given expressions are equivalent.

7) simplified form of given expression.

Solution:

5)

First expression is

[tex]16x+24y+32[/tex]

Second expression is

[tex]8(2x+3y+4)[/tex]

[tex]=8(2x)+8(3y)+8(4)[/tex]

[tex]=16x+24y+32[/tex]

Third expression is

[tex]4(4x+24y+8)[/tex]

[tex]=4(4x)+4(24y)+4(8)[/tex]

[tex]=16x+96y+32[/tex]

Therefore, the simplified forms of given expressions are [tex]16x+24y+32,\ 16x+24y+32,\ 16x+96y+32[/tex] respectively. It means only first and second expressions and equivalent.

7)

We have,

[tex]7(3-x)+15x[/tex]

[tex]=7(3)+7(-x)+15x[/tex]

[tex]=21-7x+15x[/tex]

[tex]=21+8x[/tex]

Therefore, the simplified form of given expression is [tex]21+8x[/tex].

Given:

5) The expressions are

7) The expression is

To find:

5) Whether the given expressions are equivalent.

7) simplified form of given expression.

Solution:

5)

First expression is

Second expression is

Third expression is

Therefore, the simplified forms of given expressions are  respectively. It means only first and second expressions and equivalent.

7)

We have,

Therefore, the simplified form of given expression is .

WILL MARK BRAINLIEST TO THE BEST ANSWER. I NEED ANSWERS FOR ALL OF THE QUESTIONS. I EVEN NEED TO KNOW HOW YOU SOLVED IN. (multiply, subtract exponents, etc) THANKS.

Answers

Answer:

a. 10,000

b. 81

c. -8

d. 25

e. 1236

f. 8/27

g. 81/625

h. 1/32

i. 1/36

j. 1

k. 8

Step-by-step explanation:

How I got each of these answers:

a. 10^4

10 * 10 * 10 * 10

100 * 10 * 10

1000 * 10

10000

b. -3^4 (two negatives equal a positive)

-3 * -3 * -3 * -3

9 *-3 * -3

-27 * -3

81

c. -2^3

-2 * -2 * -2

4 * -2

-8

d. -5^2

-5 * -5

25

e. -6^4

-6 * -6 * -6 * -6

36 * -6 * -6

-216 * -6

1236

f. (2/3)^3

(2*2*2)/(3*3*3)

(4*2)/(9*3)

8/27

g. (-3/5)/4

(-3*-3*-3*-3)/(5*5*5*5)

(9*-3*-3)/(25*5*5)

(-27*3)/(125*5)

81/625

h. (1/2)^5

1/(2*2*2*2*2)

1/(4*2*2*2)

1/(8*2*2)

1/(16*2)

1/32

i. (-1/6)^2

(-1 * -1)/(6*6)

1/36

j. (2/5)^9 / (2/5)^9

(2^9)/(5^9) / (2^9)/(5^9)

(512/1953125) / (512/1953125)

1

k. -24t^4/-3t^4

(-24t^4)^1 * (1/-3t^4)

(-24)^1 * (t^4)^1 * (1/-3) * (1/t^4)

(-24)^1 * (1/-3)(t^4) * (1/t^4)

(-24)^1 * (1/-3) * t^4 * t^4(-1)

(-24)^1 * (1/-3) * t^4 * t^-4

(-24)^1 * (1/-3) * t^0

-24 * -1/3 * t^0

8t^0

8 * 1

8

What is the value of A shown in the equation?

7 x 9 = (1 x 10)-(7 x A)


Answers

Answer:

A= -53/7

Step-by-step explanation:

1 x 10 -1 x 7 x A=7 x 9

10-7A =7 X 9

10-7A=63

-10 -10

-7A=53

A= -53/7

Help me pls i really need help

Answers

ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

There are 150 calories in 30 grams of Mary's crackers. How many calories are in 6 grams of crackers? A. 5 B. 10 C. 25 D. 30​

Answers

Answer:

D: 30

Step-by-step explanation:

30/6= 5

150/5=30

please answer the question it would be highly aprriecated

Answers

Answer: d ;)

Step-by-step explanation:

Just match the info on the table to the graph

A computer monitor is 36 inches wide and 15 inches tall. In inches, what is the length of its diagonal?

Answers

Answer:

15

Step-by-step explanation:

If the computer is 36 inches in width

Then it's automatically is 15 inches in .length

how did the ancient greeks Honor their gods​

Answers

Answer: They believed each temple they built should honor only one god, no matter how big or elaborate the temple.

Step-by-step explanation:

IM RUSHING THIS IS A TEST. SOMEONE DO THIS PLEASE. - GIVING BRAINLIEST

Answers

Answer:

Gum is 6 Q 1 D 1 N Raspberries is 12 Q 1 N 1 D

Step-by-step explanation:

Calico Carpets charges $36 per square yard for carpeting, and an additional fee of $125 for installation. Chestnut Carpets charges $40 per square yard for the same carpeting and an additional installation fee of $90

Answers

Answer:

36x + 125 =?

40x + 90 =?

Step-by-step explanation:

Melanie has to determine how much wrapping paper she will need to wrap, her daughter, Ayani's birthday gift. If the box is 3 inches high, 14 inches wide, and 20 inches long, how much wrapping paper is needed to cover the box. (Do not take overlap of paper into consideration).

Answers

Answer:

37

Step-by-step explanation:

3 - 2(b - 2) = 2 - 7b
b =


Please show work

Answers

3- 2b +4 = 2-7b
3+4 = 2 - 5b
7 = 2 -5b
5 = -5b
-5b /-5 = -1
b = -1

HEEEEEELP PLEASE. brainliest

Answers

it would be 5 root 2

If the following ratios are proportional, what is the missing quantity? 10.2/3 ; 17/5; _____/11; 57.8/17

Answers

Answer:

37.4

Step-by-step explanation:

Use one of ratios to find the missing quantity:

17/5 = x/11

Cross-multiply:

5x = 17*11x = 17*11/5x = 37.4

ju-long is making punch. For every 3 cups of juice, he adds 6 cups of selzer Graph this relationship. Is there a proportional relationship between the cups of juice and cups of seltzer? EXPLAIN.

|y

|

|

|__________x

Answers

Answer:

Yes, there is a proportional relationship.

Step-by-step explanation:

I can't put a graph in here unfortunately.

can someone help me pls What operations can be applied to both sides of the inequality 2 <10 so that it remains true?
Select all that apply.
a. Add 4
b. divide by 8
c. multiply by - 1
d. divide by -2
e. add -3
f. multipy by 2

Answers

Answer:

I have concluded using my big brain that the correct answers are a, b, e, and f

The lengths of a trapezoid are represented by 2x + 3 , 4x - 5, 3x + 2, and 5x - 9. What is the perimeter of the trapezoid expressed as a binomial in terms of x?
Answers
14x -9
14x^4 - 9
120x^4 + 270
120x + 270
I need this answer ASAP please!

Answers

Answer: 120x4+270

Step-by-step explanatio:

Umm so I’m only in 8th grade and this was on my test so the 4 is an exponent

can you help me?????​

Answers

Answer:

Step-by-step explanation:

I don't do this question the way it is outlined. My way is a bit shorter.

The general equation is y = mx + b

You want the slope to be - 1/5 which you just read from the given equation.

So, so far you have y = -1/5x + b

Now for the point which is (5,-4)

x = 5

y = - 4

-4 = -1/5 * 5 + b

-4 = -1 + b

b = -4 + 1

b = - 3

the equation is y = -1/5 x - 3

===========================

Now let's do it your way.

y - y1 = m(x - x1)

x1 = 5

y1 = - 4

m = - 1/5

y - - 4 = -1/5(x - 5

y + 4 = -1/5x + 1        Take 4 from both sides

y = -1/5 x + 1 - 4

y = -1/5 x - 3

Same answer. I never knew that was possible.

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