Use slope to determine if lines PQ and RS are parallel,
perpendicular, or neither.
P(2, -1), Q(-3,-1), R(-11, 9), S(-7, 9)

Answers

Answer 1

Answer:

PQ and RS are parallel to each other

Step-by-step explanation:

Slope of two points (x1,y1) and (x2,y2) is given by

slope = (y2-y1)/(x2-x1)

for two lines to be parallel slope should be equalfor two lines to be perpendicular product of slope should be -1_______________________________________________

Lets find the slope of PQ and RS

for PQ P(2, -1), Q(-3,-1), R(-11, 9), S(-7, 9)

slope PQ = (-1 -(-1))/(-3 -2) = (-1 + 1)/5 = 0/5 = 0

Slope RS = (9-9)/(-7 - (-11) ) = 0/4 = 0

Since

slope PQ = slope RS = 0

Hence PQ and RS are parallel to each other


Related Questions

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE please?

Answers

9414 1404 393

Answer:

  24.  5

  25.  0

  26.  -7

  27.  1

Step-by-step explanation:

When you're asked to find f(n), locate n on the x-axis, then move up or down along the grid line until you meet the curve. Then move horizontally to the f(x) axis and read the value from that.

This process is illustrated in the attachment.

__

To find f(x) = n, reverse the process. Locate n on the f(x) axis, then move horizontally to the curve, then vertically to the x-axis. That is the value of x you're looking for.

_____

For this graph, and many unmarked graphs, it is often reasonable to assume each grid square is 1 unit in either direction. (The graph title or axis labels may tell you differently.)

3. At San Antonio Middle School, 3 out of 7 students said they would vote in the Student Council election. If there are 350 students at the school, what is a good prediction of how many students will vote?​

Answers

Answer:

150 students

Step-by-step explanation:

3/7 × 350 = 150

What is the domain of the function
f(x) = -4 log2 (x + 3) – 6

Answers

Answer:

Domain: (-infinity,infinity)

Step-by-step explanation:

You're welcome. :)

(I couldn't write the symbols) So I wrote infinity. Hopefully I helped!

Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to the nearest tenth of a percent.

Answers

Answer:

9.9%

Step-by-step explanation:

Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:

Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:

9.9%, which could be rounded to 10% or 9%.

Nicole is studying a two-way table. She has computed the relative frequencies by column for each cell. what characteristic of data will imply an association between the two variables?​

Answers

Answer:

b

Step-by-step explanation:

pls brainliest

AnswAnswerer:

The relative frequencies add to 100% for each row.

Step-by-step explanation:

Answer two questions about Equation A and B
A. X/4+1

Answers

Hope this help you thank you

MP bisects ∠BMS. If m∠BMP = 2x + 9 and m∠BMS = 7x – 3, find the value of m∠PMS

Answers

Answer:

Step-by-step explanation:

If MP bisects ∠BMS, then the line MP divides <BMS equally;

The adition postulate if therefore true;

<BMP +< PMS = <BMS and <BMP = < PMS

The equation becomes;

<BMP +< BMP= <BMS

2 <BMP = <BMS

2(2x+9) = 7x - 3

4x+18 = 7x-3

collect like terms

4x-7x = -3-18

-3x = -21

x = 21/3

x = 7

Since <BMP = < PMS 2x+9

< PMS = 2(7)+9

< PMS = 14+9

< PMS = 23

Hence the value of < PMS is 23

Kevin weighs himself and discovers he weighs 78,900 grams. How many kilograms does Kevin weigh?

Answers

Answer:

He would weigh 78.9 kilograms. hope this helps.

Find the perimeter of the rectangle
(Let h = 4 cm and w =15 cm.)

Answers

Answer:

P= 38cm

Step-by-step explanation:

4+4+15+15=38cm

х2 + 3x = 8
Write the quadratic equation in standard form

Answers

Answer:

[tex]x^{2}[/tex] + 3x - 8 = 0

Step-by-step explanation:

the sum of x and 7 .............

Answers

Answer:

7x

Step-by-step explanation:

80 POINTS, I WILL MARK BRAINLYEST, LEGIT JUST 4 QUESTIONS. PLEASE ANSWER WITH WORK OR NO POINTS FOR YOU!!!!

Television sizes are determined by the length of their diagonal measure. Michael just bought a new television. The height of the television is 37 inches and the length is 71 inches.

Using the Pythagorean Theorem, what is the size of Michael’s new television? Round your answer to the nearest whole inch (whole number).



Part A: What parts of the right triangle have you been given? Are you looking for a leg or the hypotenuse?



Part B: Set-up your equation by substituting the correct numbers into the Pythagorean Theorem formula.



Part C: Solve for the missing length rounded to the nearest whole number. Remember to show ALL work for each step.



Part D: What is the size of the television rounded to the nearest whole inch (whole number)? REMEMBER: We’re looking for the length of the diagonal, as that is the measurement used to determine TV Sizes.

Answers

Answer:

see below

Step-by-step explanation:

given: size of television is height = 37 in,  length = 71 in.

A.  using Pythagorean theorem:

parts given are legs which is the sides

looking for the hypotenuse.

B.  formula:

a² + b² = c²    or   H² + L² = D²

where H = height = 37

           L = length = 71

           D = diagonal (which is req'd)

C.   D² = 37² + 71²

      D = [tex]\sqrt{1369+ 5041}[/tex]

      D = [tex]\sqrt{6410}[/tex]

     D = 80 in (missing length)

D. size of television:

    37 x 71 in

    Diagonal is 80 in

hope it helps and good luck!

Find the value of x. PLEASE HELP - test tomorrow
The answer is 62

I need to show my work.

THANK YOU!!!!!

Answers

Answer:

This is easy just like the other one you posted before

b+53+245=360

b+298=360

b=360-298

b=62

Answer:

62

Step-by-step explanation:

360 degrees is the total … You get the point.

360 degrees - 245 degrees

= 115 degrees

Now, we go onto the angle

The total measure of the angle is 115 degrees

The angle has been split into two angles. On of the angles measure is 53 degrees. To find the measure of the other angle, you have to subtract the measure of the angle that was given 53 degrees) by the total measure (115 degrees):

115 degrees - 53 degrees

= 62 degrees

Hope this helped you!

Do well on your test!!!

#4. Find the dimensions of a rectangle if the length is x, the
width is 2x + 5, and the Perimeter is 290.

Answers

Step-by-step explanation:

Perimeter of a rectangle=2(length+width)

290=2(x+2x+5)

290=6x+10

280=6x

x=46.67

width=2x+5=98.33

x-intercept=3, y-intercept=-4 put into slope intercept form

Answers

y = mx + c

y intercept= (0,-4) , x intercept = (3,0)

m = (y2-y1)/(x2-x1)

m = (0-(-4))/(3-0)

m = 4/3

0 = (4/3)(3)+ c

c = -4

Thus, the equation is y = 4/3 x -4

Hope it helps :)

Mark it as Brainliest answer pls :)

Siri round each number to the place of the underlined digit 7.158 The underlined number is five

Answers

the answer is 7.160 !!

What expression has the same value as 3\5|9

Answers

Answer:

6/10/18

Step-by-step explanation:

Because all I did was multiply each number by two and you would still get the same answer

Which graph appears to represent a quadratic function?

Answers

The second one, that kinda looks like a U

What is 38% of 232? around to the nearest tenth.

Answers

Answer: 88.2

..........................

4.8 Twitter users and news, Part I: A poll conducted in 2013 found that 55% of U.S. adult Twitter users get at least some news on Twitter (Pew, 2013). The standard error for this estimate was 2.6%, and a normal distribution may be used to model the sample proportion. Construct a 99% confidence interval for the fraction of U.S. adult Twitter users who get some news on Twitter, and interpret the confidence interval in context. (please round all percentages to 2 decimal places)

Answers

Answer: Required 99% confidence interval  : (48.30%, 61.7%)

Step-by-step explanation:

Confidence interval for PROPORTION:  [tex]p\pm z^* \times S.E.[/tex], where p = sample proportion , z* = two-tailed critical z-value  and S.E. = standard error.

As per given: p=55%

Critical z-value for 99% confidence = 2.576

S.E. = 2.6%

Then, required confidence interval :

[tex]55\% \pm (2.576)\times 2.6\%\\\\\approx55\% \pm6.70\%\\\\=(55\%-6.70\%,\ 55\%+6.70\%)\\\\=(48.30\%,\ 61.7\%)[/tex]

Required 99% confidence interval  : (48.30%, 61.7%)

A triangle on a coordinate plane is translated according to the rule T–3, 5(x, y). Which is another way to write this rule?

(x, y) → (x – 3, y + 5)
(x, y) → (x – 3, y – 5)
(x, y) → (x + 3, y – 5)
(x, y) → (x + 3, y + 5)

Answers

Answer is A

You have to multiple x time -3 & y times 5 which would give you X - 3 and Y + 5

Answer:

(x, y) → (x – 3, y + 5)

Step-by-step explanation:

1. Contaminated water is subjected to a cleaning process. The concentration of the
pollutants is initially 5 mg per liter of water. If the cleaning process can reduce the
pollutant by 10% each hour, define a function that can represent the concentration
of pollutants in the water in terms of the number of hours that the cleaning process
has taken place.​

Answers

Answer:

The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.

Assuming that 1L of water weighs 1000 grams, we know that:

Mass of pollutants = 5mg = 0.005g.

Initial concentration = 0.005g/1000g = 0.000005

If we multiply this by 100%, we get the percentage:

0.000005*100% = 0.0005%

Now, the mass of pollutants decreases by 10% each hour.

So if initially, we have 5mg

After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).

After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.

And so on, then after n hours, the mass of pollutants will be:

M(n) = 5mg*(0.9)^n

Or we can write this in grams as:

M(n) = 0.005g*(0.9)^n

Then the concentration as a function of time in hours will be:

C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n

Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:

c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)

The function that represents the concentration of polution in the water as a function of hours is:

c(n) = 0.0005%*(0.9)

someone please answer!

Answers

Answer:

m=1/2

Step-by-step explanation:

y1= 1

y2=6

x1= -10

x2-0

m= slope

m= y2-y1/x2-x1

m=6-1/0 - - 10

m= 6-1/0+10

m=5/10

m=1/2

Sports. The path of a particular punt follows the quadratic function where is the height of the ball in yards and corresponds to the horizontal distance in yards. Assume corresponds to midfield (the yard line). For example, corresponds to the punter's own yard line, whereas corresponds to the other team's yard line. a. Find the maximum height the ball achieves. b. Find the horizontal distance the ball covers. Assume the height is zero when the ball is kicked and when the ball is caught.

Answers

The question is incomplete. The full question is below.

The path of a particular punt follows the quadratic function

[tex]h(x)=\frac{-1}{8}(x-25)^{2}+50[/tex]

where h(x) is the height of the ball in yards and x corresponds to the horizontal distance in yards. Assume x=0 corresponds to midfield (the 50 yards line). For example, x=20 corresponds to the punter's own 30 yard line, whereas corresponds to the other team's 30 yard line.

a. Find the maximum height the ball achieves.

b. Find the horizontal distance the ball covers. Assume the height is zero when the ball is kicked and when the ball is caught.

Answer: a. Maximum height = 50

              b. Horizontal distance = 40

Step-by-step explanation: A quadratic function has its maximum or minimum point on its vertex.

When the function is negative, function has a maximum point.

The quadratic function h(x) is written in vertex form, meaning the coordinate of vertex is explicit in the function.

General vertex form: [tex]f(x)=A(x-h)^{2}+k[/tex]

A is vertical scaling parameter

(h,k) are the coordinates of vertex

So, the quadratic function for the height for the ball:

[tex]h(x)=\frac{-1}{8}(x-25)^{2}+50[/tex]

shows its vertex:

(h,k) = (25,50)

a. The maximum height the ball achieves the maximum value corresponds to the y-axis, which means, maximum height is 50 yards.

b. Horizontal distance is when h(x)=0, so:

[tex]\frac{-1}{8}(x-25)^{2}+50=0[/tex]

[tex]\frac{-1}{8}(x-25)^{2}=-50[/tex]

[tex](x-25)^{2}=400[/tex]

[tex]x^{2}-50x+625=400[/tex]

[tex]x^{2}-50x+225=0[/tex]

Solving quadratic equation:

[tex]x_{1}=\frac{50+\sqrt{1600} }{2}[/tex] = 45

[tex]x_{2}=\frac{50-\sqrt{1600} }{2}[/tex] = 5

When ball is kicked, it is in position 5. When is caught, is position 45. So, distance the balls covers is 40 yards.

Find the distance between the points ( -7,9) and (5,9)

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The distance is 12 because all you have to do is add the -7 and the 5 (drop the negative add it as if it's 7 and 5) and that'll give you 12.

Calculate the means
95,84,31

Answers

70 is the mean

95+84+31 =210

210/3 = 70

Suppose you need to build a box with a surface area of 90 square feet. If the length is 5 feet and the height is
2 feet, what is the width of the box?

Answers

Answer:

Hi there!

Your answer is:

W=17.5feet

Step-by-step explanation:

We use the surface area form for a cuboid:

2h(l+w)=SA

Fill in the known values!

2(2)* (5+ W) = 90

Solve for W!

4*(5+W)=90

20+4w=90

-20

4w=70

/4

W=17.5feet

SOLVE FOR D
S=D/T
THANK YOU

Answers

S(T)=D, you are multiplying (using inverse operation) D/T by T to get D by itself

Write and solve an equation to find the value of x and the missing angle measures

Answers

Answer:

in explanation

Step-by-step explanation:

angle rules say that those angles respond to each other meaning

they will equal each other

so 6x-4=4x+14

now solve for x

x=9

the top angle will be

6(9)-4=50

bottom angle will be 50

4(9)+14=50

PLZ ANSWER MY QUESTION.YOU WILL BECOME BRAINLIEST. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triangle are and Find the possible lengths of the third side.

Answers

Answer:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.

Other Questions
3. The point below best represents which of the following? to 6 7 A. 738 B. V35 C. 145 D. 48 What happen if lynxes go extinct Lien is pushing a box across a table. She used a force of 100 N to get the box moving. Which force did she overcometo get the box moving?O the downward force of gravity on the boxO the upward force of the table on the boxthe reaction force on the boxO the push force on the box Need some help1. Special proteins called _________ are the biological catalyst that speed up the rate of chemical reactions in the biological processes.CatalystEnzymesLipidsCarbohydrates2. Small building blocks of Polymers are called _______Dehydration synthesisHydrolysisMonomersCatalystNext six questions are fill in the blank3. Polymers are formed by combining monomers through __________ reactions4. Monomer are separated through ____________ reactions5. Glucose is single sugar unit called __________6. Lactose is two sugar unit called ___________7. Long term energy storage and chemical messengers are functions of _______8. There are two kinds of fatty acids called _________ and ________9. Names six functions of proteins10. Compare and contrast DNA to RNA11. Compare and contrast saturated fats and unsaturated fats in terms of theirstructures. please send help i really need it lol thank u Which of the following statements is true?Capillaries pass oxygen and waste between blood and cells.Red blood cells fight disease.People with type O blood can receive AB blood donations.The left ventricle controls the heartbeat. Identify the gerund. One of my favorite outdoor activities is hiking will someone help me, please what are three properties of magnets Because of the(Blank)the Church's authority decreased and therefore, (Which one goes on the Blank) Protestant ReformationFrench RevolutionDivine Right __________ is a principle of design that uses repetitive elements in a very organized manner. It creates a visual tempo in design. ASAP Evaluate the following expression:-3x2 - 5x + 7 when x = -2 what is the answer when you simplify?. Suppose that XNY are in rational numbers such that x>y. Which of the following inequalities must be true Is it a complete thought or two complete thoughts? The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 7 days. About what percentage of births would be expected to occur within 7 days of the mean pregnancy length The cost of the hiking trip is 2/3 of the cost of last years trip this year trip cost $32 write and solve an equation to find the cost of last years trip (x+7x+10) =whats the answer help me plsss:( Environmental science: Explain how the total amount of matter is conserved during the carbon cycle?Can someone pleaseeee help me?! can someone pls help me im being timed!!!!!!!!!! There are both gold and salt mines located near the __________. A. Niger River B. Luangwa River C. Northern Sahara D. Mediterranean Sea Please select the best answer from the choices provided A B C D