Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices Q(-1,3), R(5,2), S(1, - 2), and
T(-5, -1)
Find the coordinates of the intersection.​

Answers

Answer 1

Answer:0,0.5

Step-by-step explanation:

Answer 2

The coordinates of the intersection of the diagonals of the parallelogram will be (0, 0.50).

What is the equation of a line passing through two points?

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The coordinates of the parallelogram are given below.

Q(-1,3), R(5,2), S(1, - 2), and T(-5, -1)

The equation of the QS diagonal line is given as,

(y - 3) = [(3 + 2) / (- 1 - 1)](x + 1)

y - 3 = - 2.5 x  - 2.5

y = - 2.5 x + 0.5       ...1

The equation of the RT diagonal line is given as,

(y - 2) = [(2 + 1) / (5 + 5)](x - 5)

y - 2 = 0.3 x  - 1.5

y = 0.3 x + 0.50       ...2

From equations 1 and 2, then we have

0.3 x + 0.50 = - 2.5 x + 0.50

x = 0

Then the value of y is calculated as,

y = 0.3 (0) + 0.50

y = 0.50

The coordinates of the intersection of the diagonals of the parallelogram will be (0, 0.50).

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

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Related Questions

Pls help ASAP.......

Answers

Answer:$25.50

Step-by-step explanation:

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10. Im not sure if this is the nearest cent but here are the steps to find the nearest cent.

Answer:

it will cost $25.5

Step- by-step explanation:

so $30 by 15 divide it by 1 hundred so and will by equal to $4.5

hey I'm chloe can you help me, i will give Brainlest, Thank you :)
Cylender A has a radius of 4 inches and height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of cylinder B if both cylinders have the same volume?

Answers

Answer:

Cylinder B: The height would be 8 inches.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

V = A * h

CA = 4² = 16 * 2 = 32π

CB = 2² = 4 * 8 = 32π

Find the exact value of cos0. Express your answer as a fraction.

Answers

Trigonometric Functions -

[tex] \cos = \frac{adjacent}{hypotenuse} [/tex]

Find the opposite side, first of all.

Pythagorean Theorem -

[tex]a^{2} + b^{2} = c^{2} [/tex]

Input the hypotenuse and opposite sides to find b^2.

[tex]49 + {b}^{2} = 64[/tex]

Minus 49 from equations to get b^2 by itself.

[tex] {b}^{2} = 15[/tex]

Square root b^2 and 15 to get b by itself.

[tex]b = \sqrt{15} [/tex]

Now we can get to the trigonometry functioms!

[tex] \frac{ \sqrt{15} }{8} [/tex]

Divide them up, then find the percentage!

48% or...

[tex] \frac{ \sqrt{15} }{8} [/tex]

Explain how you would find 90% of 120 will give brainliest if correct

Answers

Answer:
12
Explanation:
Turn 90% into a decimal , 0.9
Multiple it by 120, 120x0.9=108
Now that we know 108 is 90% of 120
subtract it to see the remaining amount, 120-108=12
Hope this helps!

Justin's pay is represented by this line graph.
Pay (dollars)
300
280
260
240
220
200
180
160
140
120
100
80
60
40+
20+
0
10 20 30 40
Time Worked (hours)
How much is Justin paid for one hour of work?
$6.50
$7.50
$8.00

Answers

$6.50 an hour of work
6.50 is the answer hope it’s helps

Roland bought 6 tickets for him and his family to attend the high school basketball game. He bought a combination of student tickets for $3 each and adult tickets for $5 each. If he spent a total of $24 on the tickets, which system of equations could be used to find the number of student tickets, x, and the number of adult tickets, y, he bought?

Answers

Answer:

RM 21 for student and for adults

Which equation has imaginary roots?
A. x(5 + x) = 8
B. x(5 - x) = -3
C. x(x + 6) = -10
D.(2x + 1)(x – 3) = 7

Answers

im not sure but it could possibly be A because x(5+x)=8 would come out to xx=3 which could mean that each x is equal to 1.5.

B comes out to xx=2 which could be x=1.

C comes out to xx=-16 which could mean that x equals -8.

D simplified is 3x-2=7 and comes out to 3x=9 which means x could equal 3.

For each fraction, select the most appropriate estimate. 36 40 choose.. 1 3 choose.. 70 100 choose.. 1 8 choose.. Options: Closest to 0 Closest to one half Closest to 1

Answers

Answer:

Convert each fraction to its percentage form:

= 36 / 40

= 90%

= 1/3

= 33.3%

= 70/100

= 70%

= 1 / 8

= 12.5%

Looking at the percentages:

= 36 / 40 is closest to 1.

= 1/3 and 70/100 are closest to one half which is 50%

= 1/8 is closest to 0.

i need the area of a rectangle, the middle is 5ft the right is 6ft and the bottom is 5ft. thank u

Answers

Answer:

length times width for area so its 5x6=30

James had a collection of 400 baseball cards at the beginning of the summer. After the summer, James had traded some of his baseball cards and now he has only 388 baseball cards. What is the percent decrease of his baseball card collection?

Answers

Answer:

3%

Step-by-step explanation:

how do you prove something as a parallelogram?

Answers

when there’s two sets of parallel lines

8x^{3}-7x^{3}+16x^{3}


combining like terms

Answers

Answer:

17x^3

Step-by-step explanation:

8-7+16=17 keep the like terms

- 3(x - 7) + 2 = 20 I need help to solve it​

Answers

the answer is
X=1

-3(x-7)+2=20
-3x + 21 + 2 = 20
-3x + 23 = 20
-23. -23
-3x=-3
Divide by -3
X=1

Answer:

x=1

Step-by-step explanation:

First you will distribute it

U basically multiply the 3 by the X and the 7 here

-3 x (x = -3x And the 7 becomes a 21

Then you add the 2

21 + 2 = 23

Then you add the -3

-3x + 23 =20

Then using the equation above you subtract 23 from both sides

(-3 + 23) - 23 = 20 - 23

Then you simplify it

-3x = -3

Then you divide them using the same term

  -3

÷ -3

Then you simplfy it and you get

x=1

What is (7/8) * 3 * 4?

Answers

Answer:

10.5

Step-by-step explanation:

calculatorrrrrrrrrrrrr

Answer:

10.5

Step-by-step explanation:

just search up  7/8 x 3x4  and u get it

HELP ME PLEASE ASAP

1) Analia thought of two different ways to define this quantity. Identify these two definitions among the
following options.
Choose 2 answers:
Number of sports medals won divided by budget per student
Number of sports medals won divided by teachers per student
% of students in sports club divided by budget per student
% of students in sports club divided by graduation rate

Answers

The twο different quantities tο measure which school has higher academic performance are :

Graduation rate / Budget per student

SAT average / Budget per student

How to define quantity which measures academic achievement?

In οther to define a quantity which measures academic achievement;

We take the ratio of a related metric οr parameter which is a measure of the academic perfοrmance of the student in each school and the budget per student for each schοol .

The parameters which cοuld be used to measure academic achievement are :

• The graduation rate οf each school.

• The SAT average of each schοol.

Hence, defining the quantity tο measure academic achievement relative to budget per student cοuld be expressed as :

Graduation rate / Budget per student

SAT average / Budget per student

Learn mοre about graduation rate at  :

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Find the total surface area of a cuboid whose length,breadth,and height are 9cm,7cm,and 4cm respectively.pls help me guys.and I will make you brainliest.it is not false I am saying true

Answers

Answer:

length=9 cm breadth=7cm height=4cm area of a cubid=: we know that area of a cuboid= 252

Answer:

254

Step-by-step explanation:

Length : a

Width : b

Height : c

Surface : s

s = 2(ab + bc + ca)

s = 2(9x7 + 7x4 + 4x9)

s = 2(63 + 28 + 36)

s = 2(127)

s = 2 x 127

s = 254

An angle measures 56° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

62,118

Step-by-step explanation:

Let one angle = x

So, other angle = x +56

x +x +56 = 180       {Combine like terms}

2x  + 5 6 = 180      {Subtract 56 form both sides}

        2x = 180 - 56

        2x = 124     {Divide both sides by 2}

        x   = 124/2

        x = 62

Other angle = 62 + 56  = 118

Find the area of the polygon.

2cm 2cm 3m

Answers

Answer:

If its a specific shape then probably the formula would be different.

If it were to be a parallelogram then multiply all given lengths

2 x 2 x 3 = 12cm

Please help me guys !

Answers

Answer:

A) 3 cents difference

Step-by-step explanation:

Fresh fruity mints costs 20 cents per piece:

$2.40 / 12 = 20 cents

Circle mints costs 17 cents per piece:

$5.00 / 30 = 16.6666 cents which rounds to 17

20 - 17 = 3

Answer is A

A sports tournament has d teams. Each team has 15 players. Using d, write an expression for the total number of players in the tournament.

Answers

Answer:

d x 15=total players.

Step-by-step explanation:

dx15=total number of players in the tournament.

Answer:

15d

Step-by-step explanation:

If there are d teams and 15 people in each team d x 15 = 15d

The combined height of one fur tree and one pine tree is 21 meters. The higher of 4 fir trees stacked on top of each other is 24 meters taller that the one pine tree. How tall are the types of trees that Logan genetically engineered?

Answers

Answer: Fur tree = 6 meters, pine tree = 15 meters

Step-by-step explanation:

Lets say the height of one fur tree is x

the height of one pine tree is y

so x+y=21 and 4x=24

x = 6

y = 15

The radius of a circle is 17 m. Find its area in terms of pi.​

Answers

Answer:

289m²

Step-by-step explanation:

Area of circle =πr²=π×17²=289m² when r=radius =17m

What is the area of the image below?
I will mark brainliest!!!

Answers

Answer:

116 square cm

Step-by-step explanation:

Find the area of each shape

7*10=70

4*4=16

1/2(15)*4=30

70+16+30=116

I REALLY NEED HELP WITH THIS PROBLEM

Answers

Answer:

B

Step-by-step explanation:

it would be (4^2=16-1=15)/(-4+1=-3)

-15/3=-5

A: f(x) = -100(4)^x
B: f(x) = -200(2)^x
C: f(x) = -50(4)^x
D: f(x) = -400(2)^2
PLEASE HELP!!!!

Answers

A is the correct answers
Hope it helps
Answer: A
Hope this helps :)

Find the missing side (to 2dp)

Answers

Answer:

x = 17.74 cm

Step-by-step explanation:

tan 29 = x/32

0.5543 = x/32

x = 17.74 cm

Answer:

17.74  to 2 dp.

Step-by-step explanation:

tan 29 = x/32

x = 32 tan 29

= 17.7379.

find the value of x3-1 if x= 0, 1,-1​

Answers

Step-by-step explanation:

Given

x³ - 1

When x = 0

0³ - 1 = - 1

When x = 1

1³ - 1 = 0

when x = - 1

( -1)³ - 1 = - 2

Hope it will help :)❤

make p the subject of the formula A=p+prt÷100​

Answers

Answer:

p = a - prt x 100

Step-by-step explanation:

a = p + prt ÷ 100

a - prt = p ÷ 100

a - prt x 100 = p

Hope this helps. :)

can someone please Solve this equation for me 2x – 3 = 9

Answers

Answer:

x=6

Step-by-step explanation:

Hello There!

Our whole objective is to isolate the variable (x) by using inverse operations

2x-3=9

to get rid of the -3 we add 3

Remember whatever we do to one side we have to do to the other side so we add 3 to each side

-3+3 cancels out

9+3=12

now we have

12=2x

now to get rid of the 2 we divide by 2

so we divide each side by 2

2x/2=x

12/2=6

we´re left with

x=6

Solve for b. b + 2 = 4.6

b=6.6

b=4.12

b=2.6

b=2.3

Answers

Answer:

b=2.6

Step-by-step explanation:

b+2=4.6

Subtract both sides by 2 to isolate b

b+2-2=4.6-2

b=2.6

Therefore, b is equal to 2.6.

I hope this helps!

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