P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7) Using the information above, answer the following questions. Find the length of RS Find the length of SP Find the length of PQ Find the length of RQ Use this information to determine if the quadrilateral a parallelogram.

Answers

Answer 1

Answer:

Yes the Quadrilateral is a Parallelogram.

Step-by-step explanation:

A parallelogram can be defined as a quadrilateral i.e a geometric shape with four sides that has opposite sides parallel and equal in length.

From the question, we are given the following points

P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7)

Given points: (x1, y1) and (x2, y2)

The formula would be

√(x2 - x1)² +(y2 - y1)²

a) P(2, 2), Q(1, -3)

Length PQ = √(1 - 2)² +(-3 - 2)² = √-1² + -5² = √26

b) R(-4, 2), S(-3, 7)

Length RS = √(-3 - (-4))² + (7 - 2) ² = √ 1² + 5² = √26

c) R(-4, 2), Q(1, -3)

Length RQ = √(1 - (-4))² + (-3 - 2)² = √5² + 5² = √(25 + 25) = √50

d) S(-3, 7), P(2, 2)

Length SP = √(2 - (-3))² + (2 - 7)² = √5² +(-5)² = √(25 + 25) = √50

From the above solution, we can see that

Length PQ = Length RS

Length RQ = Length SP

This means the opposite sides are parallel and equal in length, hence it is a Parallelogram.


Related Questions

Help please, I'm not timed

Answers

Answer:

B 30% you can divide 160 the total by 10then multiply and you can check B and C


Jerry's motorcycle tank holds 6gallons of gas. There are 3 gallons of gas currently in the tank. How much more gasoline will
it take to fill the tank? (Simplify your answer and write it as a mixed numner

Answers

Answer:

It takes 3 more gallons to fill the tank.

Step-by-step explanation:

6-3=3

does this graph represents a function? why or why not?

Answers

Answer:

Yes, it passes the vertical line test

Step-by-step explanation:

This graph has a one to one correspondence and will pass the vertical line test, there fore it is a function

4. Which regions contain more than 3 million males?

Answers

Europe and Australia and the us

Answer:

The Eastern region has more than 3 million males.

Gabe can wrap 1 2/3 presents in 1/3 hour. how many presents can Gabe wrap per hour?

Answers

Answer:

5.06

Step-by-step explanation:

1 2/3 = 1/3

x = 1                                         (cross multiply)

1/3 x = 1 2/3                             (divide both sides by 1/3)

x = 5.06

Sorry the final answer is in decimal. I think better in decimal.

Answer:

Gabe can wrap 5 presents in an hour.

Step-by-step explanation:

So, to find the answer all you have to do is just multiply how many presents he can wrap in 1/3 hours and multiply that by 3. That is then your answer.

Brainliest would be appreciated.

I hope that I was able to help you.

21%
For all values of x
(2)
f(x) = (x + 2)2 and g(x) = 3(x - 1)
a) Find gf(x), giving your answer in the form a(x2 + bx + c)
where a, b and care integers.
(x² +
x +
b) Find g '(12)
(2)

Answers

Answer:

f(x) = (x + 2)2 = 2x + 4

g(x) = 3(x - 1) = 3x - 3

gf(x) = (2x + 4)(3x - 3)

= 6x² - 6x + 12x - 12

= 6x² + 6x - 12

To write the final answer in the form

a(x² + bx + c) we factorize the expression

Thus

6x² + 6x - 12

= 6( x² + x - 2)

where a = 6, b = 1 and c = - 2

b.) to find g '(12) we first find g ′

To find g′ equate g(x) to y

Thus

g(x) = y

y = 3x - 3

x = 3y - 3

3y = x + 3

Divide both sides by 3

We get

y = x+3/3

That's g′ = x + 3 / 3

g′(12) = 12 + 3 / 3

= 15/3

= 5

Hope this helps

Find the area of this circle. Area = _______ in2. Use 3.14 for pi and round to the nearest tenth. A. 35.8 B. 28.3 C. 254.3 D. 1017.4

Answers

Answer:

A ≈ 254.5 in²

Option C

Step-by-step explanation:

Area of a Circle Formula: A = πr²

d = 2r

Since we are given diameter d, we simply divide by 2 to get radius r:

r = 18/2 = 9

Then we simply plug it into the formula:

A = π(9)²

A = 81π

A = 254.469

A circle with a radius of 9 inches has an area of 254.3 square inches. The of aarea  circle is calculated using the formula πr², where π is a mathematical constant approximately equal to 3.14 and r is the radius of the circle.

Hence, the correct option is C.

The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius of the circle. In this case, the radius is 9 inches, so the area is given by:

In this case, the radius is 9 inches, so the area of circle is given by,

Area = pi × [tex]9^{2}[/tex]

Area = 3.14 × 81

Area= 254.3

The value of pi is approximately 3.14, so the area of the circle is approximately 254.3. However, the question asks for the area rounded to the nearest tenth, so the answer is 254.3.

Learn more about area here: brainly.com/question/30307509

#SPJ2

what is the recursive formula for this geometric sequence? 2,-10,50,-250,...

Answers

Answer:

an = an-1 * (-5)

a1= 2

Step-by-step explanation:

The recursive formula is

an = an-1 * r

a1= initial term

where a1 is the initial term and r is the common ratio

a1 =2 or the starting term

r = second term / first term = -10/2 = -5

an = an-1 * (-5)

a1= 2

Answer:

The correct answer is D

Step-by-step explanation:

2 and -5

Which of the following best describes the slope of the line below?



O A. Undefined
O B. Negative
O c. Positive
O D. Zero

Answers

Answer:

zero or undefined

Answer:

it's d zero.

Step-by-step explanation:

just took the test

Can someone help me out please :)
Students in a class sit two major exams.
75% of students pass the maths exam.
80% of those who pass
the maths exam
also pass the science exam. 40% of those
who fail the maths exam pass the science
exam. Find the probability that a student
chosen at random:
(b) fails both exams.
%​

Answers

Answer:

15%

Step-by-step explanation:

25% fail math

60% of the 25% above fail science

thus,

[tex] \frac{25}{100} \times 60\%[/tex]

=15% of total student

Est. Length: 2:00:00
x
Wyatt Stewart: Attempt 1
(06.01 MC)
What is the value of the expression shown below?
(2) 12 point)
4 + 16 +2244
O 1) 20
O 2 16
0 3 2
O 4) 5​

Answers

Answer:

Step-by-step explanation:

B

An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an=-6+(n-2)8 B. an=8+(n-6)(-1) C. an=8+(n-1)(-6) D. an=8+(n-1)6

Answers

Answer:

an = 8 + (n-1) *(-6)

Step-by-step explanation:

The explicit formula is

an = a1+ d (n-1)  where a1 is the initial value and d is the common difference

The initial value is 8  so a1 = 8

The common difference is what we are adding or subtracting each time

We are subtracting 6 each time as we see from the recursive forumla

so d = -6

an = 8 -6(n-1)

or

an = 8 + (n-1) *(-6)

Answer:

C

Step-by-step explanation:

[tex]a_{n}-a_{n-1}=-6\\d=-6\\a_{n}=a_{1}+(n-1)d\\a_{n}=8+(n-1)(-6)[/tex]

What shape will you get if you take a cross section of a square pyramid parallel to its base? ANSWERS: A rectangle A triangle A square A parallelogram

Answers

Answer:

A square

Step-by-step explanation:

Since the base is a square, any plane of the pyramid parallel to the base is shaped like a square (except the very top one which is a point).

Square shape will you get if you take a cross section of a square pyramid parallel to its base

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

'A square pyramid is a  three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'

According to the given problem,

If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.

Hence, we concluded that square could be formed by slicing the square pyramid by a plane.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

Sarah dreams of going to medical school and giving quality medical care to people who live in countries in crisis. Which of the following is an organization she might want to work for? Peace Corps. World Health Organization. United Nations. Alliance for small island states

Answers

I would say World Health Organization because that is for the world and Sally dreams of going to medical school and giving quality medical care to people who live in countries in crisis.

Answer:

B

Step-by-step explanation:

I took the test ;P

Considering the following statements, what is X → Z? X → Y: If the sum of the interior angles of a shape is 180°, then it's a triangle. Y → Z: If a shape is a triangle, then it has three sides.

A) X → Z: If a shape has three sides, then it's a triangle.
B) X → Z: If the sum of the interior angles of a shape isn't 180°, then it doesn't have three sides.
C) X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.
D) X → Z: If a shape has three sides, then the sum of the interior angles of the shape is 180°.

Answers

Answer: X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.

Step-by-step explanation:

Answer: The answer is C.

Step-by-step explanation: I did the test and it was right

In a recent television survey, participants were asked to answer ʺyesʺ or ʺnoʺ to the question ʺAre you in favor of the death penalty? ʺ Six thousand five hundred responded ʺyesʺ while 4100 responded ʺnoʺ. There was a fifty-cent charge for the call.
A) stratified B) random C) cluster D) convenience E) systematic

Answers

Answer:

D) Convenice

Step-by-step explanation:

People who called in were already wiilling to answer with a 50 cent charge and had available time to answer the survey

(-2a-4b-6c) - (-a - 2b +3c)

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

-a - 2b - 9c

▹ Step-by-Step Explanation

(-2a - 4b - 6c) - (-a - 2b + 3c)

Remove parentheses

-2a - 4b - 6c - (-a - 2b + 3c)

Collect like terms

-a - 4b - 6c + 2b - 3c

Final Answer

-a - 2b - 9c

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: -a - 2b -9c

Step-by-step explanation:

-2a - (-a) = -a

-4b - (-2b) = -2b

-6c - (3c) = -9c

-a - 2b - 9c

Please help with this

Answers

Answer: x = 10

Step-by-step explanation:

Hi, to answer this question we have to apply proportions, since the sides are equivalent.

15/25

6/x

So, for equal ratios:

15/25 = 6/x

Solving for the missing side x:

x = 6 / (15/25)

x = 10

In conclusion, the correct option is D) 10

Feel free to ask for more if needed or if you did not understand something.  

40 points!!! please tell me how to do it not what the answer is :D

Answers

Answer:

C

Step-by-step explanation:

You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!

Answer:

see below

Step-by-step explanation:

-3z -( -z -2)

The first step is to distribute the minus sign

-3z  --z  --2

A negative negative is a positive

-3z +z +2

Then combine the like terms

-3z+z   +2

Answer

-2z+2

PRE CALC, please help 22 POINTS

Answers

Answer:

D. f(x)=3^x+5

Step-by-step explanation:

D. have a domain and range

Graph the line that passes through the points (4, 3) and (1,6) and determine the equation of the line.

Answers

Answer:

y = -x + 7

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Step 1: Find slope

m = (6 - 3)/(1 - 4)

m = -1

Step 2: Find b

y = -x + b

6 = -1 + b

b = 7

Step 3: Rewrite linear equation

y = -x + 7

Answer:

y = -x + 7

Step-by-step explanation:

(x1, y1) = (4 , 3)

(x2, y2) = (1 , 6)

[tex]slope=\frac{y_{2}-y{1}}{x_{2}-x_{1}}\\\\=\frac{6-3}{1-4}\\\\=\frac{3}{-3}\\\\=-1\\\\y-y_{1}=m(x-x_{1})\\\\[/tex]

m = - 1;  (4,3)

y - 3 = (-1)(x -4)

y - 3 = -x + 4

y = -x + 4 + 3

y = -x + 7

Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? −3x2 − 5x + 9 = 0 a = 5, b = 9, c = 0 a = 3, b = 5, c = 9 a = −3, b = −5, c = 9 a = −5, b = 9, c = 0

Answers

Answer:

a = -3  b = -5 and c = 9

Step-by-step explanation:

−3x^2 − 5x + 9 = 0

The quadratic function is written as

ax^2 + bx+c =0

So a = -3  b = -5 and c = 9

Answer:

a = -3, b = -5 and c = 9

Step-by-step explanation:

Given Quadratic Equation is:

=> [tex]-3x^2-5x+9[/tex]

Comparing it with standard form of quadratic equation [tex]ax^2+bx+c[/tex], we get

=> a = -3, b = -5 and c = 9

Which Anna quality graft is the solution to X/ < -3

Answers

Answer:

Well the following inequality [tex]x<-3[/tex] as a graph is in the image below.

Subtract simplify your answer completely

Answers

Answer:

Answer is A

Step-by-step explanation:

Answer:

[tex] \frac{3x + 13}{ {x}^{2} + 4x + 5} [/tex]

Option A is the correct option

solution,

[tex] \frac{8x + 7}{ {x}^{2} + 4x + 5 } - \frac{5x - 6}{ {x}^{2} + 4x + 5} \\ = \frac{8x + 7 - (5x - 6)}{ {x}^{2} + 4x + 5} \\ = \frac{8x+ 7 - 5x + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{8x - 5x + 7 + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{3x + 13}{ {x}^{2} + 4x + 5 } [/tex]

Hope this helps...

Good luck on your assignment...

Triangle ABC is transformed to triangle A′ B′ C′, as shown below: A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 3, 4, B at ordered pair negative 4, 2, C at ordered pair negative 1, 1. A triangle A prime B prime C prime has A prime at ordered pair 3, 4, B prime at ordered pair 4, 2, C prime at ordered pair 1, 1.

Which equation shows the correct relationship between the measures of the angles of the two triangles?

The measure of angle ABC = The measure of angle A prime B prime C prime

The measure of angle ABC = The measure of angle B prime C prime A

The measure of angle BCA = The measure of angle A prime B prime C prime

The measure of angle BCA = The measure of angle C prime A prime B prime

Answers

Answer:

The measure of angle ABC = The measure of Angle A' B' C'

Step-by-step explanation:

Because

<A = <A'

<B = <B'

<C = <C'

The answer above is right.

This year at the state fair they held two hot dog eating contests. The first contest had 19 contestants and the winner would be the person that ate the most regular-sized hot dogs in 15 minutes. The second contest had 23 contestants and the winner would be the person that ate the most jumbo-sized hot dogs in 15 minutes. The data from both contests are shown in the box-and-whisker plots above. Using the box-and-whisker plots, the results for the____-sized hot dog contest has greater variability. The difference in the medians of the two contests is approximately _____times the interquartile range.

Answers

Answer:

*regular-sized hot dog contest has greater variability

*The difference in the medians of the two contests is approximately 2 times the interquartile range.

Step-by-step explanation:

Variability of the data from both contests can be compared using the range or interquartile range of each set of data from both contests.

The greater the value of the range or interquartile range, the greater the variability.

Range for regular-sized hot dog contest = 32 - 17 = 15

Range for Jumbo-sized hot dog contest = 22 - 8 = 14

Interquartile range for regular-sized hot dog contest = 27 - 22 = 5

Interquartile range for jumbo-sized hot dog contest = 16 - 11 = 5

Median for regular-sized hot dog contest = 23

Median for jumbo-sized hot dog contest = 14

The difference in the median of both contests = 23 - 14 = 9, which is approximately 2 times the interquartile range (5)

Thus, results for the regular-sized hot dog contest has greater variability, be side its range is 5, which is greater than that for jumbo-sized contest.

The difference in the medians of the two contests is approximately 2 times the interquartile range.

The interquartile range of both contests is 5. The median difference between both contests is 9, it is approximately 2 times 5. (i.e. 9/5 = 1.8 ≈ 2).

Find the vertex of the function given below.

y= x2 - 6x +1

Answers

Answer:

V( 3, -8 )

Step-by-step explanation:

Parable equation is of the form:

( x - h )² = 4p*(y - k)

In that expression, vertex has coordinates V ( h, k )

Then all we have to do is transform the given equation

y = x² - 6x + 1       or     x² - 6x  = y - 1          (1)

We can get a  perfect square trinomial in the first member of the equation according to:

x²  -  6x   =   ( x - 3 )²  - 9

(x - 3 )²   = x² - 6x  + 9

By substitution  en equation (1)

( x - 3 )² - 9 = y - 1

( x - 3 )² = y -1 + 9

( x - 3 )² = y + 8

( x - 3 )² = (y + 8 )

Then vertex coordinates are

V( 3 , -8)

6.5+(-8.3)-(-1.6)+0.7-9.9

Answers

Answer:

-12.6

Step-by-step explanation:

OK so I might have done something wrong but just remember when you're adding a negative and and a positive number you're technically just subtracting

Helpppp meeee do ths

Answers

Answer:

7/10

Step-by-step explanation:

10 dishes

3 meat dishes = ( chicken, hamburger, meatloaf)

10-3 = 7 that are not meat

P ( not meat) = not meat / total

                      =7/10

Answer:

7/10

Step-by-step explanation:

There are a total of 10 meals to choose from. There is 1 chicken, 1 hamburger, and 1 meatloaf. Together they make 3 meat choices. So there are 3/10 of probability of choosing meat. We are looking for the probability of not choosing meat which would be 7/10. This is because the whole amount of meals 10- 3 meat chooices equals 7 total of meals that are not meat. Which gives us the probability of 7/10.

Hope that was helpful!

(Brainliest???) :P

PLEASE HELP

Prison M and pyramid N and have the same base area and the same height. Cylinder P and prism Q have the same height in the same base perimeter. Come Z has the same base area of cylinder y, but its height is three times the height of the cylinder y. The figures? And? Have the same volume

Answers

9514 1404 393

Answer:

  Cone Z, cylinder Y

Step-by-step explanation:

Pointy objects such as pyramids and cones have 1/3 the volume of a prism (or cylinder) with the same base area. So, for a cone and cylinder of the same base area to have the same volume, the cone must be 3 times as high.

The figures described as having that relationship are ...

  cone Z, cylinder Y

_____

Additional comment

The perimeter of a prism is not sufficient to define its base area, unless the shape of the base is well-enough defined. However, the perimeter of the base is useful for determining the lateral surface area. Unfortunately, that is not of any interest in this problem.

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Pls help will mark you brainliest !!!! Which of the following pronouns can take either asingular or a plural verb?A) AnyoneB) NobodyC) SeveralD) Some 7. Factor by grouping.6p2 - 17p - 45A (2p - 9)(3p + 5)B (2p + 9)(3p + 5)7096OcC (2p - 9)(3p - 5)90%D (2p + 9)(3p - 5)ping 1/4 3/8 simplest form Determine whether or not a rose is alive and, if not, what characteristic of life isit missing?A. No, it is missing the characteristic of movement.B. No, it is missing the characteristic of being made of cells.C. YesD. No, it is missing the characteristic of responding to stimuli. what is the square root of 9/49 HELP !!!!Which of the following statements is true of meiosis? 1. The graph of yf(x) is translated 3 units right and 4 units down. What is the equation of the translationimage in terms of the function ?A. Y-3 = f(x+4)B. y + 4 = f(x-3)C. y + 3 = f(x-4)D. y - 4 = f(x + 3) The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t 2, where t is given in seconds and d is measured in meters. Find an expression for the instantaneous velocity v(t) of the particle at any given point in time. Question 1 options: 6t3 5 5t3 + 6 6t2 + 5 5t2 6 What is the equation of a trend line that passes through the points (7,450) and (14,401). On December 2, Coley Corp. acquired 1,000 shares of its $2 par value common stock for $27 each On December 20, Coley Corp. resold 400 shares for $30 each. Which of the following is correct regarding the effect of the reselling of shares on the accounting equation?A. Assets decrease B. Liabilities decrease C. Expenses increase D. Stockholders' Equity increases choose the function that has domain x -3 range y 2. the qestion is in the picture Help help please.....Thanks Please help answer this question Minni has to buy stickers, erasers, and a pencil. She can only spend $4. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Minni buy 2 stickers and 2 erasers? [Use the inequality 0.35x + 0.99y + 0.59 4] (1 point) Select one: a. Yes, because the total will be $3.27 b. Yes, because the total will be $1.93 c. No, because the total will be $4.27 d. No, because the total will be $5.93 Identify which of the following are carbohydrates.Check oh that apply Do 2b+ b and 3b have the same value for all values of b? explain your reason Select the vocabulary term that best relates to the scenario. Julieta is a great cook and wants to help people in need and treat them to a hot meal. El comedor de beneficencia El hogar de ancianos El proyecto de accin social El refugio de animales Which compound inequality can be used to solve the inequality 13x+2 >7?RE-7 7-7> 3x+2> 73x + 2 >-7 or 3x + 2 >73x + 27 Solve by completing the square: 5x2 + 20x + 32 = 0