Mathematics High School

Prove whether the quadrilateral is a parallelogram using the Distance & Slope Formulas D(-5, -6), E(5, 2), F(4, -4), G(-6, -12)

Answers

Answer 1

Answer:

See the distances bellow

Step-by-step explanation:

Given data

D(-5, -6), E(5, 2)

substitute into the expression for the distance

[tex]d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((5+5)^2 + (2+6)^2)\\\\d= \sqrt((10)^2 + (8)^2)\\\\d= \sqrt(100 +64)\\\\d= \sqrt((164)\\\\d= 12.80[/tex]

E(5, 2), F(4, -4)

[tex]d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((4-5)^2 + (-4-2)^2)\\\\d= \sqrt((-1)^2 + (-6)^2)\\\\d= \sqrt(1+36)\\\\d= \sqrt((37)\\\\d= 6.08[/tex]

F(4, -4), G(-6, -12)

[tex]d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((-6-4)^2 + (-12+4)^2)\\\\d= \sqrt((-10)^2 + (-8)^2)\\\\d= \sqrt(100+64)\\\\d= \sqrt((164)\\\\d= 12.80[/tex]

G(-6, -12),  D(-5, -6)

[tex]d= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\d= \sqrt((-6+5)^2 + (-12+6)^2)\\\\d= \sqrt((-1)^2 + (-6)^2)\\\\d= \sqrt(1+36)\\\\d= \sqrt((37)\\\\d= 6.08[/tex]

Related Questions

What is are the numbers to P.I.E

Answers

Answer:

Step-by-step explanation:

Answer:wow

Step-by-step explanation:I have no answer but Cool

Evaluate.
5.002 - 4.3


Answers

Answer:

0.702

Step-by-step explanation:

the answer is 0.702 :) hope this helps

At a school
The ratio of the number of boys to number of girls = 9:7
There are 100 more boys than girls.
Work out the total number of students at the school.

Answers

Answer:

1600

Step-by-step explanation:

b : g : total

9 : 7 : 16

difference-> 9-7=2

2u->100

1u-> 50

16u-> 1600

HELP!!! PLEASEEEEEE!!!!!
Write in point-slope form an equation of the line that passes through the point (9, 5) with slope 3

Answers

Answer:

[tex]y _{1} - y = m(x _{1} - x) \\ \\ 5 - y = 3(x - 9) \\ \\ 5 - y = 3x - 27 \\ - y = 3x - 27 - 5 \\ - y = 3x - 32 \\ y = - 3x + 32[/tex]

I hope this help

PLEASE HELP ME!!!ITS DUE TODAY!!

Answers

PONLE QUE ES A LA MIERDA IEUFJEUNFUF

Answer:

17.28 is around

23.76 is the area

Step-by-step explanation:

Please help, i really need help

Answers

Answer :

35 hot dogs and 52 sodas were sold.

Step-by-step explanation:

Let the no. of hot dogs sold be x and no. of sodas sold be y .

Put together your two equations, and find the values of x and y, to know exactly how many hot dogs and sodas were sold.

Hope i was able to help:)))

[b] A right circular cylinder whose volume is 704 cm and its diameter length is 8 cmn.
» then find its height
​HELP ASAP!!

Answers

Answer:

volume of cylinder=704 cm³

πr² h=704

22/7 ×(8/2)²h=704

50.28h=704

h=704/50.28=14.001=14cm

Please help anyone???

Answers

Answer:

i think bca would be the same

Step-by-step explanation:

Stephanie spent $46.20 on 12 gallons of gasoline. What was the price per gallon?

Answers

Answer: $3.85 per/gal.

Step-by-step explanation:

$46.20/ 12 =

HELP QUICK, I WILL DO ANYTHING, I WILL GIVE BRAINLIEST AND 15 POINTS HELP QUICK
I need help with writing an expression for this figure.

Answers

Answer:

2bs + b^2, this is the equation to find the surface area. B is base length and s is slant height.

Step-by-step explanation:

bro help bro this is due in 24 min

Answers

Answer:

120 square cm

Step-by-step explanation:

Area of the given figure

= Area of rectangle + Area of trapezoid

[tex] = 12 \times 8 + \frac{1}{2} \times ( 8 + 4) \times 4 \\ \\ = 96 + 12 \times 2 \\ \\ = 96 + 24 \\ \\ = 120 \: {cm}^{2} [/tex]

Answer:

Answer:

120 square cm  

Area of the given figure

= Area of rectangle + Area of trapezoid

Step-by-step explanation:

9 x 7 = (? x 7) - (1 x 7)
= 70- ?
= ?

Answers

Answer:

70 / 7

? = 10

Step-by-step explanation:

63 = 7 * ? - 7

70 = 7 x ?

70 / 7 = ?

? = 10

Answer:

-364

Step-by-step explanation:

ok so just followed the equation and got that

(6, -3) answer choices
(3, -6)
(0, 0)
(0, 5)

Answers

Answer:

(6, - 3 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (6, - 3 ) ← solution

you mow 3 lawns in 5 hours. How long will it take to mow 9 lawns? Explain your thinking​

Answers

it will take 15 hours to mow 9 lawns

y=-x+5

Find the slope of each line

Answers

Answer: m = -1

Step-by-step explanation:

The price of a bicycle Rocco wants to pay is $282. If the sales cost is 4% of the total price how much sales tax will Rocco pay?

Answers

Answer:

$11.28

Step-by-step explanation:

Given data

Cost of bicycle= $282

tax= 4%

let us find the sales tax

=4/100*282

=0.04*282

=$11.28

Hence the sales tax is $11.28

can someone help on this?
please

Answers

Answer:

3848.45cm^2

Step-by-step explanation:

A group of friends were working on a student film that had a budget of $700. They used 42% of their budget on equipment. How much money did they spend on equipment?

Answers

Answer:

294

Step-by-step explanation:

100%-> 700

42%->294

The total cost for potatoes, y, at a grocery store can be modeled by the equation y = 0.59x, where x is the number of pound of potatoes.
What is the most appropriate domain of the function?

Answers

Answer:

all nonnegative rational numbers

Step-by-step explanation:

What is the area of this figure?

Answers

the answer is 360, remember its length x width x height

HELP DUE IN 30 MINS!


Are the following triangles congruent? If so, identify the postulate and finish the congruent statement.


If they are not congruent or there is not enough information, then write not possible in each blank.


Postulate:

Congruence Statement: ΔTAF ≅ Δ:

Answers

Answer:

Step-by-step explanation:

TAF ~=TUG

Postulate : AAS

Alyssa’s family has completed 80% of a trip. They have driven 40 miles. How far is the trip?

Answers

Answer:

50 miles

Step-by-step explanation:

i just know

Mr. Crain wants to decorate his door for the first day of school. The door is 7 feet tall and 3 feet wide. How many square feet of paper will Mr. Crain need to cover the door before he decorates it?

Answers

Answer:

wirebdjd

Step-by-step explanation:

dkejdkenfjzmdmf

how to change a fractiion in decimal example 108/30 change this in decimal

Answers

Step-by-step explanation:

decimal decimal six

it is helpful

Need help on this please help

Answers

262 is the answer :)

Solve the simultaneous equations by substitution
5x+6y=−11
5x=2y−3

Answers

Answer:

y= -1, x= -1

5x+6y=-11

-(5x-2y=-3)

     8y=-8

      y=-8/8

      y= -1

5x+6(-1)=-11

5x-6     = -11

        5x=-11+6

        5x=-5

          x=-5/5

          x=-1

The required solution of the simultaneous equation is x = -1 and y = -1.

Given that,
To solve the given simultaneous equation,
5x+6y= −11
5x = 2y −3

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
5x = 2y −3 - - - - - (1)
5x+6y= −11
By substitution, from equation 1
2y - 3 + 6y = -11
8y = -8
y = -1
Now,
5x = -2 - 3
x = -1

Thus, The required solution of the simultaneous equation is x = -1 and y = -1.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ2

Which set of characteristics produces one unique triangle

Answers

Answer:

The first one because all characteristics mentioned in other options makes an scalene triangle but the first option makes isosceles triangle.

Please help I’m a 4 grader need help with this I’m not sure how to do this

Answers

10 divided by 5 = 2 times 2 = four :)

Answer:

10 ÷ 5 = 2 × 2= 4. 4 is your answer

Step-by-step explanation:

its easy. when you see a number () thats just multiplication. so basically the equation is really just saying 10 ÷ 5 × 2

If represents the number of bacteria in a culture at time t, how many will there be at time

Answers

Answer:

Population of bacteria at  time [tex]t = 6[/tex] is [tex]2441[/tex]

Step-by-step explanation:

The complete question is

If [tex]y = 10 (2.5)^t[/tex]represents the number of bacteria in a culture at time t, how many will there be at time [tex]t = 6[/tex]

Solution

Given

The population of bacteria after time t is equal to [tex]y = 10 (2.5)^t[/tex]

Population when at time [tex]t = 6[/tex]

We will substitute the value of time in above equation.

[tex]y = 10 (2.5)^6\\y = 10 *244.14\\y = 2441.4 = 2441[/tex]

justine and her cousin natalie are picking out snacks at the corner store for movie night. natalie spends $5.30. justine spends 1 1/3 times as much as natalie. how much money do the girls spend in all?

Answers

Answer:

$12.35

Step-by-step explanation:

to figure out how much justine spends we need to multiply 1  1/3 with 5.30

1  1/3=4/3

4/3=1.33(decimal for easy calculations)

1.33*5.30=7.05

so now to figure out how much BOTH the girls spend:

7.05+5.30=12.35

$12.35

Answer:13.25

Step-by-step explanation:

13.25

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