The points (-3,2) (5,2) and (5,1) are three vertices of a rectangle what is the fourth vortex?

The Points (-3,2) (5,2) And (5,1) Are Three Vertices Of A Rectangle What Is The Fourth Vortex?

Answers

Answer 1
Answer is ( -3, 1 )
Reason
See attached graph
( 5, 2 ) and ( 5, 1 ) are both in quadrant 1, making up two end points.
The third given is in the 2nd quadrant and must match the other two to make a rectangle. So ( -3, 2 ) will match with ( -3, 1 )
The Points (-3,2) (5,2) And (5,1) Are Three Vertices Of A Rectangle What Is The Fourth Vortex?

Related Questions

Jasmine wants to buy a car marked at $5200 at a second hand car dealer. The deposit is two-fifth of the price of the car
for the next weck's delivery. Jasmine's father helped her in the deposit by paying 30% of the price. Will jasmine have
enough for her car deposit? If not, how much more does she need to add to get the deposit?

Answers

Jasmine will not have enough for the car. The amount more that she needs is $520.

Will Jasmine have enough for the car?

The first step is to convert the fraction that represents the amount needed as a deposit to percentage.

(2/5) x 100 = 40%

Difference in the deposit and the amount Jasmine's father deposited: 40% - 30% = 10%

Amount more that she needs : 10% x 5200 = $520

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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

Option D is correct

Step-by-step explanation:

there were no corn muffins sold.

Answer:

No corn muffins were sold at the bake sale :)

Step-by-step explanation:

Lets go thru each answer choice to see why it is incorrect/correct :)

A.

A is incorrect because more cookies were sold than muffins! that is why A is incorrect :)

B.

This calls for adding! lets do that now :)

Chocolate chip: 5

Oatmeal: 1

Peanut: 3

6 + 1 + 3 = 10

10 < 11

10 is not greater than 11 so B is incorrect!! :)

C.

We need to add again so lets do that now!

Corn: 0

Muffin: 2

2 + 0 = 2

2 < 3

2 is less than 3 so C is incorrect!! :)

D.

It is true that 0 corn muffins were sold at the bake sale so D is our answer!! :D

Have an amazing day!!

Please rate and mark brainliest!!

Solve to find the value for x in the linear equation: 3(−4x 5) = 12. 1. use the distributive property: 2. use the subtraction property of equality: 3. division property of equality: 3(−4x) 3(5) = 12 −12x 15 = 12 −12x 15 − 15 = 12 − 15 −12x = −3 x =

Answers

Answer:

1/4

Step-by-step explanation:

I think that you forgot the addition or the subtraction sign between -4x  and 5.  I will assume that it was an addition sign

3(-4x+5) = 12  Multiply everything in the parentheses by 3

-12x + 15 = 12  Subtract 15 from both sides

-12x = -3  Divide both sides by -12

x = -3/-12 = 3/12 =1/4

Identify the recursive formula for the sequence -3, 9, -27, 81, ....

Answers

Answer:

A

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3

this indicates the sequence is geometric.

the recursive formula allows a term in the sequence to be found by multiplying the previous term by the common ratio r , that is

f(n) = - 3f(n - 1) if n > 1 : f(1) = - 3

Find the volume of the sphere.

Answers

Answer:

268.08 (268)

Step-by-step explanation:

The volume of a sphere is 4/3*pie*r^3

A recent survey at a local company showed that 300 employees, or 66⅔% of the company’s employees, carpool to work each day. How many employees work at this company?
I'm sorry for all this trouble just really need help I'm in summer school because I was gone most of the school year and its all online so i don't understand anything

Answers

Answer:

450 employees work at this company.

Step-by-step explanation:

300 = 2/3 of x
300 × 3 = 2x
900 = 2x
450 = x

Can someone please help me on this problem and show work pleasee I’m having trouble doing this!!!

Answers

Let’s start by stating the formula for the area of a rectangle,

A=LW

the letter a represents area, l represents length, and w represents width.

Next let’s substitute known values.

A=x(x+10)

Next let’s use the distributive property

A=(x(x))+(10(x))

Now simplify.

A=x^2 + 10x

So the equation for the area of this rectangle is A=x^2+10x

I believe this is the most simplified answer, please tell me if I am wrong and I will redo my work.

Answer here
x^2 + 10x

The sine, cosine, cosecant, and secant functions have period _______; the tangent and cotangent functions have period _______.

Answers

The sine, cosine, cosecant, and secant functions have period 2π; the tangent and cotangent functions have period π.

Definition for Period of a Trigonometric Function :

The pause between any function's repetitions is known as the function's period. The duration of one complete cycle is the period of a trigonometric function. Trigonometric functions include three basic types: sin, cos, and tan, which have periods of -2π, 2π, and π respectively.

If a function repeats itself repeatedly at a predetermined frequency, it is said to be periodic. The formula for t is f(x) = f(x + p), where p is a real number that denotes the period of the function. Period is the interval between two occurrences of the wave.

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If the value the discriminant is exactly O,
what is true about the graph of the
quadratic equation?

Answers

The last option seems correct

To solve the equation 1. 75n = 7 for n, what operation must be applied to both sides in order to isolate the variable n?

Answers

Answer: Division
Divide both sides by 75 to isolate N

Copy DEF to the line so that S is the
vertex.
This task will be complete when you have
constructed an angle with vertex S that is
congruent to ZDEF.

Answers

Estimate the distance between points G and I with a compass and sketch an arc from point V which bisects the earlier arc U.

How to construct an angle with vertex?

To copy an angle we observe the subsequent steps,

1). Mark a working line with the help of a straightedge.

2). Now we set a point S as the vertex of the angle.

3). Create an arc with a radius 'r' (any length ) from vertex S which bisects the working line V.

4). With the exact radius we mark an arc from point E which bisects the line ED and EF at G and H respectively.

5). Mark an arc from point G which bisects line EF at I.

6). Estimate the distance between points G and I with a compass and sketch an arc from point V which bisects the earlier arc U.

7). Now join the points S and U.

Therefore we copy any angle.

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Write an equation of the line passing through the point (8, 2) that is parallel to the line 6x - 9y = -7.

Answers

The equation passing through the point ()8, 2 and parallel to 6x - 9y = -7 is y = 6 / 7x - 2 / 7

How to find equation of a line?

The equation of the line passes through the point (8, 2) and it is parallel to 6x  - 7y = -7.

The equation of a line can be represented as follows;

y = mx + b

where

m = slope

b = y-intercept

Therefore, parallel line have the same slope.

6x  - 7y = -7

7y = 6x + 7

y = 6 / 7 x + 1

m = 6 / 7

Hence, using (8, 2)

2 = 6 / 7 (8) + b

2 = 16 / 7 + b

b = 2 - 16 / 7

b =  14 - 16/ 7

b = - 2 / 7

Hence, the equation is y = 6 / 7x - 2 / 7

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What is the value of x? Show your work.

(Please hurry and see image for details.)

Answers

Answer:

7

Step-by-step explanation:

By the AA Postulate, triangles JKL and MNP are similar. Segment JK corresponds to segment MN, and segment JL corresponds to segment MP.

JK/MN = JL/MP

25/30 = 20/(4x-4)

25(4x-4) = 20*30

100x - 100 = 600

100x = 700

x = 7

Which type of arc requires another entity to specify its start point?

Answers

The type of arc that requires entity to specify its start point is the tangent arc.

What is the range of the function shown on the graph

Answers

Answer:

[tex]y \geq - 6[/tex]

Step-by-step explanation:

the range is all the y values shown in the graph, so as you can see, the y values are all those greater than or equal to -6

The line plot shows the prices of sunglasses at a department store.
a. Find the mean, median, and mode.
b. Which measure best describes the data? Why?
c. Which measure might be misleading in describing the average price of sunglasses? Explain your reasoning.

Answers

The measure that best describes the data is the median and the measure that might mislead the data is the mode

How to determine the mean, median and mode?

The mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{20* 2 + 50 * 3 + 60 * 6 + 70 * 3 + 80 * 4 + 90 * 4 + 100 * 2 + 130 * 1}{25}[/tex]

This gives

[tex]\bar x = \frac{1770}{25}[/tex]

[tex]\bar x = 70.8[/tex]

So, the mean is 70.8

The median is the middle number, and the position is calculated using

Median = (n + 1)/2 th

This gives

Median = (25 + 1)/2 th

Median = 13th

The 13th element is 70

So, the median is 70

The mode is the data element with the highest frequency.

So, the mode is 60

The measure that best describes the data

The line plot has outliers at 20 and 130.

This is so because 20 and 130 are far from other data values

When a dataset has an outlier, the best measure is the median

Hence, the measure that best describes the data is the median.

The measure that might mislead the data

The measure that might mislead the data is the mode

This is so the highest occurring value does not necessarily represent the dataset

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A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32. 1. How much do you think a bus containing 30 people would be charged?

Answers

The charges of entrance fee for a bus containing 30 people is $98

Equation

let

Fixed charge = xAdditional charge per person = yNumber of person = m

Charges For 2 people = mx + y

14 = 2x + y

Charges For 4 people = mx + y

20 = 4x + y

14 = 2x + y

20 = 4x + y

subtract both equation

20 - 14 = 4x - 2x

6 = 2x

x = 6/2

x = 3

Substitute x = 3 into

14 = 2x + y

14 = 2(3) + y

14 = 6 + y

14 - 6 = y

8 = y

Charges For 8 people = mx + y

= 8(3) + 8

= 24 + 8

= $32

Therefore,

Charges For 30 people = mx + y

= 30(3) + y

= 90 + 8

= $98

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If a problem is 8(2x+4) = 2(1x+3) is the first step done of PEMDAS for THIS SPECIFIC PROBLEM parentheses or multiplication?

Answers

The first step is the parenthesis

How to determine the first step?

The equation is given as:

8(2x+4) = 2(1x+3)

Using PEMDAS, the first step is to open the brackets by multiplication.

So, we have:

16x + 32 = 2x + 6

Hence, the first step is the parenthesis

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Circle O is shown. Line segments B O and O C are radii. Point A is on the circle and is not within angle B O C.

The measure of Arc B A C is 240. What is the ratio of the measure of the major arc to the measure of the minor arc?
3:1
1:3
2:1
1:2

Answers

The ratio of major to minor arc = 2 : 1

What is a Circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

Calculation

The length of an arc (L) with center angle θ is given by:

                                          L = (θ/360) * 2πr

where r is the radius.

Putting the values in the above formula.

For the major arc:

L = (240/360) * 2πr

For the major arc:

l = ((360-240)/360) * 2πr

l = (120/360) * 2πr

The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1

The ratio of major to minor arc = 2 : 1.

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Answer:c

Step-by-step explanation:

Which of the following ordered pairs is a solution of the system?
x + 3y = 12
y-x=12

Answers

Answer:

Step-by-step explanation:

Answer is ( -6, 6 )
Step by step
We have two equations
I like to label them first
x + 3y = 12 we will call A
y - x = 12 we will call B

I like to have the equations be in y intercept form to make the math easier
So I will change equation A to
3y = -x + 12
and change B to
y = x + 12

Now we will substitute the value of y of equation B into equation A

3(x + 12) = -x + 12
distribute
3x + 36 = -x + 12
now Isolate x on one side by adding x to both sides
3x + x + 36 = -x + x + 12
Combine like terms
4x + 36 = 12
Now subtract 36 from both sides to isolate x
4x +36 -36 = 12 - 36
Combine terms
4x = -24
Now solve for x by dividing both sides by 4
4/4x = -24/4
x = -6

Now to find y
Substitute your x value into equation B
y = x + 12
y = -6 + 12
y = 6

So your answer is (-6 , 6)

Check your work with equation
x + 3y = 12 from the original question
Substitute x and y values

-6 + 3(6) = 12
-6+18 = 12
12 = 12

Now do the same with the other equation
y - x = 12
6 - (-6) = 12
6 + 6 = 12
12 = 12

Both are Correct, so problem solved

Question 5 of 15
What would be the best first step in solving this system
x²-3x + 2y = -4
y = 3x + 2

Answers

Isolate y on both equations then equate

x²-3x+2y=-42y=-x²+3x-4y=-x²/2+3/2x-2

Now you can equate it with second one to get x

Answer:

Substitute y = 3x + 2 into x² - 3x + 2y = -4

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}x^2-3x+2y=-4\\y=3x+2\end{cases}[/tex]

Since y is already isolated in the second equation, the best first step would be to substitute the second equation into the first equation, then solve for x.

Substitute equation 2 into equation 1:

[tex]\implies x^2-3x+2(3x+2)=-4[/tex]

Expand the brackets and simplify so that the equation equals zero:

[tex]\implies x^2-3x+6x+4=-4[/tex]

[tex]\implies x^2+3x+4+4=0[/tex]

[tex]\implies x^2+3x+8=0[/tex]

Now use the Quadratic Formula to solve for x.

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Define the variables:

[tex]\implies a=1, \quad b=3, \quad c=8[/tex]

Substitute the values into the formula and solve for x:

[tex]\implies x=\dfrac{-3 \pm \sqrt{3^2-4(1)(8)}}{2(1)}[/tex]

[tex]\implies x=\dfrac{-3 \pm \sqrt{-23}}{2}[/tex]

[tex]\implies x=\dfrac{-3 \pm \sqrt{-1 \cdot 23}}{2}[/tex]

[tex]\implies x=\dfrac{-3 \pm \sqrt{-1}\sqrt{23}}{2}[/tex]

Remember that [tex]i^2=-1[/tex]

[tex]\implies x=\dfrac{-3 \pm i\sqrt{23}}{2}[/tex]

Therefore, the solutions to the system of equations are:

[tex]x=\dfrac{-3 + i\sqrt{23}}{2}, \quad \dfrac{-3 - i\sqrt{23}}{2}[/tex]

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The perimeter of a rectangle is 96 ft and the width is 22 ft what is the length of the rectangle

Answers

The length of the rectangle is 26ft.

What is the perimeter of a rectangle?

The sum of all sides of a rectangle is the perimeter of the rectangle.A rectangle has two equal lengths and two equal widths.Therefore, the perimeter 'P' of a rectangle is the sum of two equal lengths and two equal widths. That is, 'P=2l+2w' where 'l' is the length and 'w' is the width of the rectangle.

What is the length of the rectangle with perimeter 96ft and the width 22ft?

The perimeter of a rectangle is, P = 96 ft.

The width of the rectangle is, w = 22ft.

As we know the perimeter P of a rectangle is given by the formula, P=2l+2w

Therefore, substituting the values in the equation we get,

P = 2l + 2w

96 = 2l + 2*22

96 = 2l + 44

2l = 96 - 44

2l = 52

l = 52/2

l = 26

Hence, the length of the rectangle is 26ft.

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Identify the property being demonstrated for each expression.
3+ (5 + 7) = (3+5)+7
(3)[5(7)] = (3)[7(5)]
Intro
5+0=5
Dor

Answers

The answer of this is 3•5•8 I did the math now I need to pass my test

An interior wall is made up of metal studs with 5/8 gypsum board on each side if the actual width of a stud is 3 5/8 what is the total thickness of the wall

Answers

Add em to get the answer

Measure the length of AD & D B what is the ratio of AD to DB ​

Answers

Based on the calculations, the ratio of AD to DB ​ is equal to 0.6.

What is a ratio?

A ratio is a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

From the graph, we have:

Length of AD = 1.5

Length of DB = 2.5

Ratio = AD/DB

Ratio = 1.5/2.5

Ratio = 0.6.

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What ratios are equivalent to 12:9

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{12:9}[/tex]

[tex]\huge\textbf{Simplifying:}[/tex]

[tex]\mathsf{12:9}[/tex]

[tex]\mathsf{= 12\div3 : 9 \div 3}[/tex]

[tex]\mathsf{= 4:3}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{4:3}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

10 points please help me

Answers

a. Surface area = 172 cm²

Volume = 112 cm²

b. The surface area would be needed.

c. The volume would be needed.

How to Find the Surface Area and Volume of a Box?

Surface area = 2(wl+hl+hw).

Volume = (length)(width)(height)

a. l = 7 cm

w = 2 cm

h = 8 cm

Surface area =2(wl+hl+hw) = 2·(2·7+8·7+8·2) = 172 cm²

Volume = (7)(2)(8) = 112 cm²

b. The surface area would be needed.

c. The volume would be needed to find the amount of juice the box will hold.

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Joe needs to get to his house, which is 106 miles away in 2 hours. How fast does he need to drive? 48 mph 104 mph 0.019 mph 53 mph

Answers

Answer:

53 mph

Step-by-step explanation:

We need to give the answer in terms of miles per hour. This means that we need to find out how many miles Joe needs to travel in one hour. Therefore, this is a ratio problem.

We can set up a proportion where the unknown variable is the number of miles driven in one hour:

[tex]\frac{106}{2} =\frac{x}{1}[/tex]

x is just 106/2, or 53. Therefore, Joe needs to travel 53 mph

Find the length of JN

Answers

The length of JN from the figure is 108

Measure of segment of a line

A line is the shortest distance between two points. Given the following parameters

Required

We need the length of JN

JN = JK + KN

JN = 59 + 49

JN = 108

Hence the length of JN from the figure is 108

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Jenna collects stamps. She puts the same number of stamps on each page and then inserts each page into one of her two stamp books. One of her stamp books has a total of 840 stamps. The other has 1008. What is the largest number of stamps that Jenna could be putting on each page

Answers

168 is  the largest number of stamps that Jenna could be putting on each page

What is the Greatest Common Factor?

The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.

So the largest number of stamps that Jenna could be putting on each page

would be gcd of 1008 and 840.

840 = 2 x 2 x 2 x 3 x 5 x 7

1008 = 2 x 2 x 2 x 2 x 3 x 3 x 7.

∴ The Gcd = 2 x 2 x 2 x 3 x 7 = 168.

Hence 168 is  the largest number of stamps that Jenna could be putting on each page

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47. The binding of erythropoietin to theerythropoietin receptor (EpoR) stimulatesintracellular signaling in certain cells, whichcauses them to differentiate to red blood cells.The EpoR is a transmembrane protein with twocytoplasmic domains, each of which is bound bya kinase protein, JAK2. The binding oferythropoietin to the EpoR causes thecytoplasmic domains of the EpoR to undergoconformational changes that activate the boundJAK2 kinases. The JAK2 kinases thenphosphorylate several intracellular proteins,including STATS, whose resulting activitycauses the cells to differentiate to red bloodcells.Which of the following explains how a mutationthat removes a portion of each cytoplasmicdomain of EpoR most likely affectsdifferentiation of the cells?(A) The cells will differentiate more rapidlythan they typically do because the JAK2kinases will always be active.(B) The cells will mature to another cell typebecause the JAK2 kinases willphosphorylate inappropriate cellularproteins.(C) STATS will not be activated becauseerythropoietin cannot bind to the EpoR.(D) STATS will not be activated because it willnot be phosphorylated by the JAK2kinases. what is the name of code or nucleotide squence that can be found in in dna, but not mrna and protein from the same gene What property is used to do-2y + 15 = -23 Create a problem with a quadratic equation that you would solve graphically and solve it. 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