Ava wants to draw a parallelogram on the coordinate plane. She
plots these 3 points.

Part A
Find and label the coordinates of the fourth vertex, K, of the
parallelogram. Draw the parallelogram.

Part B
What is the length of side JK? How do you know?​

Answers

Answer 1

Answer:

[tex]k =(2,1)[/tex]

[tex]JK = 2[/tex]

Step-by-step explanation:

Given

[tex]J = (0,1)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]H = (1,-2)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]I = (3,-2)[/tex] --- [tex](x_3,y_3)[/tex]

See attachment for grid

Solving (a): The coordinates of K

The parallelogram has the following diagonals: IJ and HK

Diagonals bisect one another. So:

Midpoint of IJ = Midpoint of HK

This gives:

[tex]\frac{1}{2}(I + J) = \frac{1}{2}(H+K)[/tex]

[tex]\frac{1}{2}(x_3+x_1,y_3+y_1) = \frac{1}{2}(x_2+x,y_2+y)[/tex]

[tex]\frac{1}{2}(3+0,-2+1) = \frac{1}{2}(1+x,-2+y)[/tex]

[tex]\frac{1}{2}(3,-1) = \frac{1}{2}(1+x,-2+y)[/tex]

Multiply through by 2

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

By comparison:

[tex]1 + x = 3[/tex]

[tex]-2 + y = -1[/tex]

Solve for x and y

[tex]x = 3 - 1 =2[/tex]

[tex]y = -1 +2 = 1[/tex]

So, the coordinates of k is:

[tex]k =(2,1)[/tex]

The length of JK is calculated using distance (d) formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

[tex]J = (0,1)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]k =(2,1)[/tex] ---- [tex](x_2,y_2)[/tex]

So:

[tex]d = \sqrt{(0 - 2)^2 + (1 - 1)^2[/tex]

[tex]d = \sqrt{(- 2)^2 + (0)^2[/tex]

[tex]d = \sqrt{4 + 0[/tex]

[tex]d = \sqrt{4[/tex]

[tex]d = 2[/tex]

Hence:

[tex]JK = 2[/tex]

Ava Wants To Draw A Parallelogram On The Coordinate Plane. Sheplots These 3 Points. Part AFind And Label

Related Questions

would someone pls help me this is math and rn I have a D+ so if I get all my question or at least some I will get an A or A+

Answers

Answer:

The probability of getting a 1, 2, 3 on three rolls respectively is [tex]\frac{1}{216}[/tex].

Step-by-step explanation:

Since you are rolling three dies, and each die has six sides, that means there are a total of 216 possible outcomes. Out of the 216 different outcomes, only 1 of them meet the requirement of rolling a '1' on the first die, a '2' on the second die, and a '3' on the third die, so the fraction to represent the situation would be [tex]\frac{1}{216}[/tex].

Someone plz help me

Answers

Answer:

C - Triangle, Pentagon, Hexagon, Decagon

Step-by-step explanation:

Triangle - 3 sides

Pentagon - 5 sides

Hexagon - 6 sides

Decagon - 10 sides

From Least to greatest!

:)

Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

f(x) = 6x2 + x − 12

A. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12

B. linear function; linear term: x; constant term: −12

C. linear function; linear term: 6x2; constant term: −12

D. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12

Answers

Answer:

D

Step-by-step explanation:

The function f(x) = 6x2 +x -12 is a quadratic since the highest degree polynomial term is 2. So that eliminates B and C. Option A is incorrect because the quadratic term is 6 not double the constant. There for the correct choice is D because the function is a quadratic and the quadratic term is 6x2, the linear term is x and the constant term is -12.

Which expression is equivalent to5(h+9)

Answers

Answer:

The answer would be 5h+45

Step-by-step explanation

5 (h+9)

You need to convert this equation into the equation

you multiply 5 by h and get 5h

Then multiply the same number outside the parenthesis, 5, by 9 which will give you the answer 45

Once you have 5h and 45 just put it together with the addition symbol which will will equal:

5 (h+9) = 5h + 45

Your Welcome! (hopefully this answers your question)

what is the value of x squared + 2 x y / 2 * W + 3 * z for w=2, x=5, y=8 and z=3​

Answers

Answer: 114

Step-by-step explanation:

Plug in the numbers. 5*5+2*5*8/2*2+3*3=25+80+9=114

Can someone tell me the answer to this?

Answers

Answer:

option 1 n<4

Step-by-step explanation:

Answer:

the packers fan is right, it's option 1: n<4

Step-by-step explanation:

2. In 1990, there were 1,200 cell phone subscribers in a small-town of Stephenville. The number of subscribers increased by 75% per year after 1990. How many cell phone subscribers were in Stephenville in 1999?

Answers

Answer: [tex]184,724.153[/tex]

Step-by-step explanation:

Given

In 1990, there were 1200 cell phone subscriber in small town of stephenville

It is increasing by 75% per year after 1990

In year 1991 it is

[tex]\Rightarrow 1200+1200\times 0.75\\\Rightarrow 122(1.75)[/tex]

In year 1992 it is

[tex]\Rightarrow 1200(1.75)+1200(1.75)\times 0.75\\\Rightarrow 1200(1.75)(1+0.75)\\\Rightarrow 1200(1.75)^2[/tex]

So, it is increasing as [tex]1200(1.75)^x[/tex]

where [tex]x=[/tex]no of years spent

After 9 years, it is

[tex]\Rightarrow 1200(1.75)^9=184,724.153[/tex]

does the letter v contain a corresponding angle?

Answers

I think you forgot the photo

At the amusement park, Janine bought a bottle of water for $2. She also bought game tickets for $0.50 each. Janine spent a total of $15.
Which of the following equations can be used to find the number of game tickets, g. Janine bought?
O 0.509 + 2 = 15
O2g +0.50 = 15
O 0.50g - 2 = 15
O 2g -0.50 = 15

Answers

Answer:

15 = 2 + 0.5g

Total number of ticket purchase by Janine = 26

Step-by-step explanation:

Given:

Cost of water bottle = $2

Cost of each ticket = $0.50

Total amount spend by Janine = $15

Find:

Equation

Computation:

Assume;

Total number of ticket purchase by Janine = g

Total amount spend by Janine = Cost of water bottle + (Cost of each ticket)(Total number of ticket purchase by Janine)

15 = 2 + (0.5)(g)

15 = 2 + 0.5g

0.5g = 13

g = 13 / 0.5

Total number of ticket purchase by Janine = 26

what's the slope of (-2,-1) and (4,3)

Answers

Answer:

4/6

Step-by-step explanation:

→ Write the slope formula

(y₂ - y₁) ÷ (x₂ - x₁)

→ Substitute in the numbers

(3 - -1) ÷ (4 - -2)

→ Simplify

4/6

Answer:

m = 2/3

Step-by-step explanation:

Valley high school's football team played a total of 16 games. They won twice as many games as they lost. If they tied one game, how many games did the team won

Answers

Answer:

The team won 10 games.

Step-by-step explanation:

The statement indicates  that the football team played a total of 16 games, which means that  the total number of games they won, lost or tied is equal to 16 and you can express this as:

x+y+z=16, where:

x is the number of games the team won

y is the number of games the team lost

z is the number of games the team tied

As you know that they tied one game, it means that z=1:

x+y+1=16

x+y=16-1

x+y=15

Also, the statement says that they won twice as many games as they lost which means that the number of games they won is equal to two times the number of games they lost, which is:

x=2y

Now, you can replace x=2y in x+y=15 and solve for y:

2y+y=15

3y=15

y=15/3

y=5

Finally, you can replace the value of y in x=2y in order to find the value of x:

x=2(5)

x=10

According to this, the answer is that the team won 10 games.

No links need help ASAP

Answers

I think it’s (3,-2) not 100 percent but if ur rotating counterclockwise the x should be positive and the y negative... I think

classify the pair of angles shown.​

Answers

Answer:

complementary angle

Step-by-step explanation:

hope this helps u

Find x rounded to the nearest while number

Answers

Answer:

10.35

Step-by-step explanation:

The given triangle is a right angled ∆ .The data given is ,

Base = x Hypontenuse = 23 Angle = 63° .

We can use ratio of cosine here , as ,

=> cos∅ = b/h

=> cos 63° = x/23

=> 0.45 = x/23

=> x = 23 × 0.45

=> x = 10.35

Hence the value of x is 10.35

Find the equation of a line that passes through the points (1,-5) and (3,-6).
Leave your answer in the form y =mx+c

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)

m = [tex]\frac{-6+5}{3=2}[/tex] = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, - 5 ) , then

- 5 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = - 5 + [tex]\frac{1}{2}[/tex] = - [tex]\frac{9}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex] ← equation of line

C. If Stephanie was short of wrapping paper, how much more did she need? If Stephanie had enough wrapping paper, how much of the ten feet was left over?

Answers

Complete question :

Stephanie has six identical gift boxes to wrap. Each box is a cube that measures 6 inches on each side. She would like to wrap them all using the same gift wrapping paper. The roll of wrapping paper she has is 30 inches wide and 10 feet long.

Answer:

Left over = 2292 in²

Step-by-step explanation:

Given that :

Gift boxes are identical ;

Each gift box is a cube with side length, s = 6 inches

Area of gift box, Surface area of a cube = 6s²

Area = 6(6²) = 6 * 36 = 216 in²

Area of one gift box = 216 in²

6 gift boxes will be : 216 in² * 6 = 1296 in²

Allowing 2 inches to cover for overlap in each box : 2 inches * 6 = 12 in²

Dimension of wrapping paper = 30 inches by 10 feets

Recall :

1 Feet = 12 inches

Hence ; dimension of wrapping paper becomes :

30 inches by (10*12) inches

30 inches by 120 inches

Area of wrapping paper = 30 * 120 = 3600 in²

Total area of paper - area of gifbox - area of overlap

(3600 - 1296 - 12) in²

= 2292 in²

Leftover = 2292 in²

23.
20m + on ?
Which expression is equivalent to 54n

Answers

Answer:

Choice A, 20(3n-m)

Step-by-step explanation:

First, lets combine like terms for the question 54n - 20m + 6n,

60n - 20m.

Next, lets rule out the choices that are visibly wrong. This includes Choice B, because it wouldn't equal what is above and Choice C, as it ignores unlike terms.

Now, it is down to Choices A and D. Let's use the distributive property to simplify these options.

Choice A:

20(3n-m)

60n-20m

Choice D:

20(m-3n)

20m-60m

With this, it can be concluded that the correct answer is Choice A since it equals 60n-20m, which is equal to the original question when like terms are combined.

Answer:

Which inequality has the solution set shown on the graph?

-54n < 1080

-54n > 1080

594 > -11n <<<<<This one

594 < -11n

Step-by-step explanation: I couldnt find my question so here is the answer if you have this on edg :))))

In 20P9, how many choices are
there for the second batter if the
total number on the team is 20?
(Only 9 players will be in the lineup.)

Answers

Answer:

The answer is 19.

Step-by-step explanation:

Theres already a first batter which means that there are only 19 people that can be second batter

Company is testing a robot.The robot is 12 inches tall and weigh 4 pounds.The employees of the company marked a grid on the floor and set the robot at(4,4). They programmed the robot to walk 4 yards east and 6 yards north each minute.What will the robot's location be after 7 minutes? The x coordinate and the y coordinate

Answers

Answer:

[tex]P(2)=(32,46)[/tex]

Step-by-step explanation:

From the question we are told that:

Height of robot [tex]h=12 inches[/tex]

Weight of robot [tex]W=4[/tex]

Start position [tex]P(1)=(4,4)[/tex]

Per minute distance [tex]d=(4,6)[/tex]

Total time [tex]T=7min[/tex]

Generally the distance traveled in 7 minutes [tex]d_T[/tex] is mathematically given by

 [tex]d_T=d*T[/tex]

 [tex]d_T=(4.6)*7[/tex]

 [tex]d_T=(28,42)[/tex]

Generally the position of the robot after 7 minutes is  mathematically given by

 [tex]P(2)=P(1)+d_T[/tex]

 [tex]P(2)=(4,4)+(28,42)[/tex]

 [tex]P(2)=(32,46)[/tex]

Therefore the position of the robot after 7 minutes is

 [tex]P(2)=(32,46)[/tex]

Find the area of the compound figure. Round your answer to 2 decimal places if required. (Use π = 3.14)

Hello! I’ve been stuck on this problem for a while and—though I know the answer—I’m not sure how to get to it? Please help!

Answers

Answer:

first you will need to break the shape into a semi circle and a triangle.

then solve the area of the semi circle. which is

[tex] \frac{(3.14) \times r ^{2} }{2} \\ [/tex]

[tex] \frac{(3.14) \times 4.6^{2} }{2} \\ = 33.22[/tex]

Then solve the area of the triangle.

First work out the height of the triangle, which is

[tex]13.4 - 4.6 = 8.8[/tex]

then the area. which is

[tex] \frac{1}{2} 4.6 \times 8.8 \\ = 20.24[/tex]

now calc. the two figures. which is

[tex]20.24 + 33.22 \\ = 53.46[/tex]

❗️❗️HELP ❗️❗️Triangle ABC is shown below.
98
46
B
Use the drop-down menus to explain how to determine the measure of angle A. Click the arrows to
choose an answer from each menu.
degrees, so the measure of
The measure of angle A is
The sum of the interior angles of a triangle equals Choose...
angle A can be found by calculating Choose...
Choose... degrees

Answers

Answer: I need this one too

Step-by-step explanation:

Answer:

180

180 - (98 + 46)

36

Step-by-step explanation:

Calculate the value of this

Answers

Answer: here’s your answer

Step-by-step explanation:

What is the midpoint of AB when A (-2, 5) and B (4, -5)?

Answers

Answer:

Answer attached

Step-by-step explanation:

Midpoint of AB = (1,0)

Let's check

midpoint of AB

(-2+4/2,5-5/2)(2/2,0/2)(1,0)

GIVING BRAInLY !!!!! Which expression shows the result of applying the distributive property to 3(1/5x-1/7)?
(A) -3/5x-3/7
(B) 3/5x-3/7
(C) 3/5x+3/7
(D) -3/5x+3/7

Answers

Answer:

B. 3/5x-3/7

Step-by-step explanation:

You multiply when applying the distributative property

3(1/5x-1/7)

3/5x-3/7 multiply 3 by each value in parentheses.

Multiply 3 by each fraction given.
1/5x times 3 = 3/5x
-1/7 times 3 = -3/7.
Answer = b when you put the two back together. Don’t forget about your negative sign when multiplying!!

Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena’s sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.


Select all the true statements.


Who every can answer this I will give brainliest!! Please help!

Answers

Complete question is;

Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena's sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.

Select all the true statements. Make your selections bold.

A. The median height of the sample must be between 59 and 63 inches.

B. Another random sample of 20 students is likely to have a mean between 57 and 65 inches.

C. The mean height of these 20 students is likely to be the same as the mean height of all students in the district.

D. The mean height of these 20 students is likely to be the same as the mean height of a second random sample of 20 students.

E. Elena would be more likely to get an accurate estimate of the mean height of the population by sampling 40 people instead of sampling 20 people.

Answer:

Options A, B & E are true.

Step-by-step explanation:

We are told that Elena's mean absolute deviation is 2 inches.

This means that the distance between each data point and the mean is equal to 2. This value gives us a good idea about the variability present in the dataset.

This is calculated from the difference between the mean of the absolute value of the initial mean and each data set.

Now, looking at the options. In option A, since mean height of the 20 students is given as 61, it means the median will be close to that figure too. Thus, between 59 and 63 inches given is appropriate.

In option B, if another random sample is taken, the mean would likely be close to 61 too since the MAD is 2.

Thus range given is okay.

In options C & D, there is no evidence to prove that the new mean would be the same as the district or the second random sample. This, both options are not appropriate.

In option E, if she uses a Sample of 40, she will obviously get a more accurate figure because the more the sample the more accurate the average result that represents the population.

- A box of specialty baking flour holds 2 kilograms. How many angel food cakes can be made with a recipe that calls for 100 grams of flour?

Answers

Answer:

20

Step-by-step explanation:

1000g = 1 kil0

2 x 1000 = 2000g

Number of cakes = 2000 / 100 = 20

Find the diameter and circumference

6.2 mi

PLS HELP I NEED AN ANSWER PLS

Answers

Answer:

diameter: 2.4 mi

circumference = 38.96 mi

Step-by-step explanation:

d=2r=2·6.2=12.4

C=2πr=2·π·6.2≈38.95575

Mrs. James is making snow cone cups using a special-coated paper to sell at a school
fundraiser. The snow cone cups have a diameter of 4 inches across the widest part of the
snow cone and are 5 inches tall.
What value most closely represents the amount of coated paper in square inches that Mrs.
James will need to make 150 snow cone cups?

Answers

Answer:

6957  inches squared

Step-by-step explanation:

surface area of a cone  = πr × (r + √[h² + r²])

h = height

r = radius = 4/2 = 2 inches

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

(3.14 x 2) x (2 + √5² + 2²) = 6.28  x 7.39 = 46.38 inches squared

the amount of coated paper needed for 1 cup is 46.38 inches squared

Amount needed for 150 cups = 46.38 x 150 = 6957

x 150

Write an equation for the graph

Answers

y=1/2x

Also why is the picture upside down

Who listens to NF (Nathan Feuerstein) and enjoys his music?

Write a short paragraph about your favorite song and why you like it. Also include what you think the song means.

I will give Brainliest to the answer I like best and 10 points.

Good luck,
Paul

Answers

Answer: I like NF and can I do it later I’m in class

Step-by-step explanation:

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