Three of the vertices of quadrilateral MARY are M (-3,1), A(3,3), and R(5,7). Find the
coordinates of Y, such that, quadrilateral MARY is a parallelogram.

Use coordinate geometry to prove that MARY is a parallelogram.

Three Of The Vertices Of Quadrilateral MARY Are M (-3,1), A(3,3), And R(5,7). Find Thecoordinates Of

Answers

Answer 1

9514 1404 393

Answer:

  Y = (-1, 5)

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so have the same midpoint. That is ...

  (M +R)/2 = (A +Y)/2

  Y = M + R - A . . . . . . multiply by 2 and subtract A

  Y = (-3, 1) +(5, 7) -(3, 3) = (-3 +5 -3, 1 +7, -3) . . . . . substitute point coordinates

  Y = (-1, 5)

Coordinate geometry was used to find Y that makes MARY a parallelogram. The fact that there is a solution is proof enough that MARY is a parallelogram.

_____

Your teacher may expect the "proof" to be either or both of ...

showing opposite sides have the same slopeshowing opposite line segments have the same length

Given the method used above, both of these are unnecessary. However, in the interest of completeness, we will demonstrate.

Slope and Length of MA

  slope = (3 -1)/(3 -(-3)) = 2/6 = 1/3

  length = √(2²+6²) = √40

Slope and Length of AR

  slope = (7 -3)/(5 -3) = 4/2 = 2

  length = √(4² +2²) = √20

Slope and Length of RY

  slope = (5 -7)/(-1 -5) = -2/-6 = 1/3 . . . . same as opposite side MA

  length = √((-2)²+(-6)²) = √40 . . . . . . . same as opposite side MA

Slope and Length of YM

  slope = (1 -5)/(-3 -(-1)) = -4/-2 = 2 . . . . same as opposite side AR

  length = √((-4)² +(-2)²) = √20 . . . . . .  same as opposite side AR

Opposite sides have the same slopes, so the figure is a parallelogram.

Opposite sides have the same lengths, so the figure is a parallelogram.

Three Of The Vertices Of Quadrilateral MARY Are M (-3,1), A(3,3), And R(5,7). Find Thecoordinates Of

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Step-by-step explanation:

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Step-by-step explanation:

1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
JB who weighs 50 kg sits 3 feet from the fulcrum. How far from the fulcrum must JP sit in order to
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pasagot naman mga prii

Answers

Answer:

1) 43/10

3) p = kt/v

4) C

1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.

[tex]\rm d\times w = constant[/tex]

JB who weighs 50 kg sits 3 feet from the fulcrum.

Distance of JP from the fulcrum in order to  balance with JB if he weighs 35 kg?

[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]

So JP must sit at a distance of about 4.28 feet from the fulcrum

2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is  reading.

A. write the variation equation

 let the number of pages read by Ethan be p

let the number of hours he is reading be  h

According to the given situation

[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]

B . According to the given condition

[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]

hence the constant of proportionality c = 1.5  

So let us consider he reads p' pages in 21 minutes

[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]

3. The pressure of the gas is directly proportional to the temperature and inversely proportional to  its volume.

A. Write the variation equation.

Let P = Pressure , V = Volume and T = Temperature

The equation is

[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]

B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?

Since the temperature is doubled and volume is halved  so putting 2T and  and volume V/2 in equation (3.1) we get

[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]

So the values of new pressure become 4 times the value.

4. Given the equation y = k ma, where k is the constant of variation, which of the following

statements are TRUE or FALSE.

A. y and r varies directly.  

B.y and q are directly proportional

C.y and pq2 varies jointly

D. p and r are inversely proportional

E. y and p varies directly.​

It seems that Question 4  has an ambiguity since the equation y = k ma

does not signifies any of the option

For more information please refer to the link  given below

https://brainly.com/question/17948320

Write the ordered pair corresponding to the point B.

Answers

Answer:

The ordered pair for point A is (-2, 0). For point B, move to the right 4 units to get an x-coordinate of 4, then move down 3 units to get a y-coordinate of -3. The ordered pair for point B is (4, -3). For point C, move to the right 3 units to get an x-coordinate of 3, then move up 5 units to get a y-coordinate of 5.

Step-by-step explanation:

hope this helps

Answer:

(-2, -3)

Step-by-step explanation:

PLEASE HELP!!
Graph the line with the equation

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Answer:

Step-by-step explanation:

Multiply to convert pounds to ounces. Write your answer as a fraction.

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Answer:

There is nothing  to multiply.

Include the problem please

289.08 divided by 4 .......?

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Answer:

72.27

Step-by-step explanation:

Answer:

72.27

Step-by-step explanation:

that's what I got on the calculator.

Find the domain of the graphed function

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Answer:

D

Step-by-step explanation:

sorry if its wrong. havent learned this in a while.

Answer:

Ok, so you see here, the demain is described as, to which to point does the x-axis change throught the graph, meaning here, you graph reaches from x = -4, to x = 2, that means that the domain is:

D) -4 ≤ x ≤ 2

Hope this is correct and helps!

Prove the Isosceles Triangle Theorem as a paragraph proof.

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Answer:

Reflexive Property

SAS

<C

Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)

Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.

Answers

The step that is not used when constructing an inscribed equilateral triangle using technology is " create another circle with the same radius as the original".

What is inscribed triangle ?

"The definition of circumscribed means that an object is drawn around another, making it bounded or limited within a certain boundary. And so, a circumscribed circle of a triangle is a circle that limits a triangle's space. In other words, the circle contains a triangle inside it. The vertices of the triangle are located along the boundary of the circle.

Geometric scenarios like this wherein a shape are drawn inside another or containing another; the name is given depending on which object is taken as a reference. Circumscribed circle of a triangle, the circle is outside the triangle in a simpler sense. In other words, the triangle is inside the circle."

Since,

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So what the answer for “Kelly has $5.38 in her account before receiving her $832.19 paycheck. She writes checks for rent and car insurance in the amounts of $359.82 and $72.38. She also withdraws $30. What is her current balance?” ? Please I need this answer right away please

Answers

Answer: $375.37

Step-by-step explanation:

From the question, we are told that Kelly has $5.38 in her account before receiving her $832.19 paycheck. We are further told that she writes checks for rent and car insurance in the amounts of $359.82 and $72.38 and that she also withdraws $30.

Her current balance will be:

= $5.38 + $832.19 - $359.82 - $72.38 - $30

= $375.37

Her current balance is $375.37

which of the following expressions have the greatest value

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Answer:

the Answer is D

Step-by-step explanation:

the answer is 2^5 (D) mate

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Step-by-step explanation:

The slopes of perpindicular lines must be negative reciprocals of each other -- while -4 and 4 are negative to each other, the negative recipricocal for -4 is 1/4 and -1/4 for 4.

The slopes of parallel lines must be the same, so these are not parallel.

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I think your expected to roll the number 5 approximately 4 times out of the 26 time the dice was rolled.

can someone please do this for me and tell me how so I can do the other one pleaseeee I don't know what to do

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Answer:

P(green) =1/4

P(orange)=1/2

Step-by-step explanation:

I'm assuming this is probability but it\s been a while, so i'm not sure

number one is a square being divided into half and then one half is being divided into quarters. (as shown by the dotted lines and right angle)

so the probablity of landing in green is 1/4, because it is one fourth of the square.

the probability of the orange is 1/2 because it is 1/2 of the square

The same logic would apply to the "circle" i can see in the next problem. 120 degrees is 1/3 of 360, 90 is 1/4, and so on.

Hope that helps.

The price of a wakeboard that regularly sells for $600 is reduced to $528 by what percentage is the price reduced?

Answers

Answer:

12%

Step-by-step explanation:

600-528=72. (subtract)

72/600= 3/25. (simplify)

3/25 = 12%. ( convert to percent)

(answer accuracy not garunteed)

Answer:

600-528 = 72

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7 ¾ - 1 2/7 - 3/2 = ?????????????????????

Answers

Answer:

31/8 = 3 7/8 = 3.875

Step-by-step explanation:

7 3/4 /2 = 31/8 = 3 7/8 = 3.875

Anthony scored 28 points in a recent basketball game. He made a total of 12 baskets. How many 2 and 3 point shots did he make? (Consider only the 2 and 3 point shots: no free throws)

Answers

Answer:

8 2-point shots and 4 3-point shots

Step-by-step explanation:

Anthony scored 28 points with 12 baskets. Saying that, (with x-y representing 2 point shots-3 point shots) any combination with a supermajority (at least 75% of) of either shot is out. This leaves just 5 possible combinations. 8-4, 7-5, 6-6, 5-7, and 4-8. Multiply the first number by 2 and the second by 3.

(4 * 2) + (8 * 3) = 8 + 24 = 32 points, so no.

(5 * 2) + (7 * 3) = 10 + 21 = 31 points, so no.

(6 * 2) + (6 * 3) = 12 + 18 = 30 points, so no.

(7 * 2) + (5 * 3) = 14 + 15 = 29 points, so no as well.

(8 * 2) + (4 * 3) = 16 + 12 = 28 points, so this is the combination we're looking for.

pls help i will give u brainliest.

Answers

Well did you find the answer

A cylinder has a diameter of 7 and height of 10.4 . What is its total surface area to two decimal places

Answers

Answer:

305.68

Step-by-step explanation:

π = 3.14(aka pi)

d=diameter

h=height

^=exponent

The formula for doing this types of problem is 2π d/2h + 2π(d/2)^2. So all you do is fill in the diameter and height of the variable.

2π 7/2(10.4) + 2π(7/2)^2=305.68

Hope this was helpful, if not deeply sorry, I'm only in 7th grade...

please help
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Answers

Answer:

x=8

:)

Step-by-step explanation:

the quotient of -7 and y

Answers

Answer:

-7/y

Step-by-step explanation:

The quotient of -7 and y is:

-7/y

Answer:

[tex] \huge \boxed{ \frac{ - 7}{y} }[/tex]

-7/y is the right answer.

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Answer:

25 degrees celcius

Step-by-step explanation:

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Answer:

159.25

Step-by-step explanation:

175 multiplied by 6% is 10.5

If you subtract 10.5 from 175 you will get 164.5

Answer:

100 - 6 = 94

175/100*94 = 164.50

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Answers

Answer:

315/8 GIVES 39.375. But 35.375 Is actually a rational number, because it is terminating after 3 decimal places.

Step-by-step explanation:

Answer:

315/8 is rational.

Step-by-step explanation:

It is rational because 315/8 = 39.375. But 35.375 Is actually a rational number because it is terminating after 3 decimal places.

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Answers

Answer:

-1704

Step-by-step explanation:

5, -14, -33

it goes down by 19 each time

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91st term is 91 times -19=-1729+25=-1704

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5 points
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D) 81m + 271

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The answer is D; could you make me the brainiest? Because the answer is 81m+27t
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