which lines are perpendicular ?

Which Lines Are Perpendicular ?

Answers

Answer 1

Answer:

Lines  C and D

Step-by-step explanation:

For a pair of lines to be perpendicular ,

    the product of their slope must be - 1 .

Slope of A:

[tex]2x - 3y = 6\\\\-3y = -2x + 6\\\\y = \frac{-2x}{-3} + \frac{6}{-3}\\\\[/tex]

[tex]y = \frac{2}{3}x - 2\\\\slope_A = \frac{2}{3}[/tex]

Slope of B:

[tex]3x - 2y = - 9\\\\-2y = - 3x - 9\\\\y = \frac{-3x}{-2} - \frac{9}{-2}\\\\y =\frac{3x}{2} + \frac{9}{2}\\\\slope_B = \frac{3}{2}[/tex]

Slope of C:

[tex]y = - \frac{3}{2}x - 5 \\\\slope_C = -\frac{3}{2}[/tex]

Slope of D:

[tex]y = \frac{2}{3}x + 2\\\\slope_D = \frac{2}{3}[/tex]

Product of the slopes = - 1

[tex]slope_A \times slope_B = \frac{2}{3} \times \frac{3}{2} = 1 \neq - 1 \\\\Therefore, not\ perpendicular.\\\\Slope_B \times slope_C = \frac{3}{2} \times \frac{-3}{2} = \frac{-9}{4} \neq -1\\\\Therefore , not \ perpendiucalr.\\\\Slope_C \times slope_D = -\frac{3}{2} \times \frac{2}{3} = - 1\\\\Therefore , perpendicular\\\\\\Slope_A \times slope_D = \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} \neq 1\\\\therefore , not \ perpendicular.[/tex]


Related Questions

Find the perimeter of ΔJKL. Round your answer to the nearest tenth if necessary

Answers

The answer is x = 86.4, hope this helps

Answer:

3.25

Step-by-step explanation:

the triangle=15+9 8.5=3.25 in answer find x.8 ∆JKL OPTIMIZE 1 UP 3...

PLZ I NEED ANSWER ILL GIVE BRAINLIEST

Answers

Answer:

c

Step-by-step explanation:

got it right

Answer:

y = 4x - 3

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-3) / 2 - 0

8 / 2

= 4

y = 4x + b

5 = 4(2) + b

5 = 8 + b

-3 = b

Which one of the following groups would be unbiased when asked, “What is your favorite kind of pizza?”
Group of answer choices

health & fitness fanatics leaving the gym

guests leaving a gourmet pizza restaurant

kids at the playground

families attending a sporting event

Answers

Answer:

kids at playground

children are too young to know calorie count and the health benefits of certain foods. So they would simply choose the one they think tastes best

pls pls help

How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?
Two
Zero
One
Infinitely many

Answers

Answer:

One

Step-by-step explanation:

This equation is not a quadratic and can be solved to get an integer solution

Answer:

Step-by-step explanation:

It can have at most 1 sensible answer. It may have zero and infinitely many

3x + 6 = - 1 - 3 + 4x              Combine the right

3x + 6 = - 4 + 4x                   Add 4 to both sides

3x + 6 + 4 = 4x                     Subtract 3x from both sides

3x  + 10 -3x = 4x - 3x             Combine

10 = x

The only answer (1) that is possible is 10.


[tex]factorise \: \\ \\ r {}^{2} - 10r + 21[/tex]

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (r - 7)(r - 3) }}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex] {r}^{2} - 10r + 21[/tex]

[tex] = {r}^{2} - 7r - 3r + 21[/tex]

Taking [tex]r[/tex] as common from first two terms and [tex]3[/tex] from last two terms, we have

[tex] = r(r - 7) - 3(r - 7)[/tex]

Taking the factor [tex](x-7)[/tex] as common,

[tex] = (r - 7)(r - 3)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Step-by-step explanation:

Your Answer with

Explanation is given in the attachment

Hope it is helpful to you

✌️✌️✌️✌️✌️✌️✌️

Suppose you had been in charge of designing the study. What sample size would be needed to construct a margin of error of 2% with 95% confidence

Answers

Answer:

A sample size of 2401 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What sample size would be needed to construct a margin of error of 2% with 95% confidence?

This is M for which n = 0.02.

Supposing we have no estimate for the true proportion, we use [tex]\pi = 0.5[/tex].

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2[/tex]

[tex]n = 2401[/tex]

A sample size of 2401 is needed.

Helppppp and explain pls and thankyouu

Answers

Answer:

-13 is the answer I think so but wait for others also because my could be wrong

- During the summer, you work 5 hours a day as a lifeguard at a beach and
earn $8 each hour. Use properties of multiplication to find how much
money you earn during a 6-day work week.

Answers

Answer:

240 If its wrong pleas correct me

PLZ I NEED ANSWER I GIVE BRAINLIEST TO FIRST ANSWER RIGHT

Answers

Point B is in the third quadrant

Answer:

B. Point B

Step-by-step explanation:

HELP I AM TIMED. Determine whether the equation is an identity or not an identity.

Answers

Answer:

It is not an identity

Step-by-step explanation:

There are 10 common trig identities which I am aware of.

Some are in the image attached

The first image is known as b

Basic Identities

The second are known as Trigonometric / Pythagorean Identities .

The third : Co-function identities

and many more.

I'm only allowed to post five images so that's all I have.

What is 7/9 divided by 1/3

Answers

Answer:

[tex]{ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} [/tex]

Find the values of x and y. Round your answers to the nearest tenth if necessary,

Answers

Answer:

[tex]x=12,\\y=12\sqrt{3}[/tex]

Step-by-step explanation:

In any 30-60-90 triangle, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.

In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since [tex]x[/tex] is opposite to the 30 degree angle,

Therefore, we have:

[tex]x=\frac{24}{2},\\x=\boxed{12}[/tex]

Based on our side length ratio [tex]x:x\sqrt{3}:2x[/tex], [tex]y[/tex] is then:

[tex]y=x\sqrt{3}\text{ for}\implies x=12,\\y=\boxed{12\sqrt{3}}[/tex]

Answer:

[tex]\huge\boxed{x=12;\ y=12\sqrt3\approx20.8}[/tex]

Step-by-step explanation:

Look at the picture.

We have:

[tex]2a=24\\a=x\\a\sqrt3=y[/tex]

Therefore:

[tex]x=24:2=12\\\\y=12\sqrt3\approx12\cdot1.73=20.76\approx20.8[/tex]

Try Again
Alvin is 7 years older than Elga. The sum of their ages is 79. What is Elga's age?
39 уга
years old
?

Answers

Answer:

36 years

Step-by-step explanation:

Let

x = Elga's age

Alvin's age = x + 7

Sum of their ages = 79

Sum of their ages = Alvin's age + Elga's age

79 = (x + 7) + x

79 = x + 7 + x

79 = 2x + 7

79 - 7 = 2x

72 = 2x

x = 72/2

x = 36

Elga's age = x = 36 years

Alvin's age = x + 7

= 36 + 7

= 43 years

The diameter of a quarter is approximately 2 millimeters. How many quarters would u need to make a two kilometer high pile?

Answers

Answer:

The number of quarters required to pile up to 2 km are 1000000.

Step-by-step explanation:

Diameter of each quarter = 2 mm

Total height = 2 km

Number of quarters required is given by

[tex]\frac{ 2 km}{2 mm}\\\\\frac{2\times 1000\times 1000 mm}{2 mm}\\\\= 1000000[/tex]

Tommy went to the shop where there was a 20% off sale taking place
The shirt he wanted to buy was originally £20
How much money does he save in the sale?

Answers

Answer:

4 pounds

Step-by-step explanation:

take 20% off the original price. 20(0.20)= 4

So that's a discount of 4 pounds and the sale price is 16 pounds.

The savings is 4 pounds on 1 shirt.

Use a calculator to find the cross products. Compare the cross products and determine if the ratios form a proportion. Write “Y” if the ratios do form a proportion, and write “N” if the ratios do not form a proportion.
1. 3/12 and 10/30

2. 7/16 and 42/66

3. 13/70 and 39/200

4. 16/34 and 80/170

5. 11/12 and 66/72

6. 14/17 and 112/134

7. 2/3 and 120/190

8. 23/99 and 115/495

Answers

I think that it’s 13/70 and 39/200

100 students are interviewed to see which of biology, chemistry or physics they prefer. 42 of the students are girls. 5 of the girls like biology best. 4 of the boys prefer physics. 13 out of the 21 who prefer chemistry are girls. What percentage of the students prefer biology?

Answers

Answer:

A total of 51 people prefer biology, 51%

Step-by-step explanation:

Girls: 42

Boys: 58

Biology: 5 girls and 46 boys(100-42=58, 58-[4+8]=46)

Physics: 4 boys and 24 girls(42-[5+13])

Chemistry: 13 girls and 8 boys(21-13=8)

I think this is the answer...

Please help! Awarding Brainly :)

Answers

Answer:

Step-by-step explanation:

What is a set ? Give an example of a set .​

Answers

Answer: 24

Step-by-step explanation:

Circle W has a radius of 20 in and right central angle, ZVWX. Find the length of vx. Leave your answer in terms of pi.
5
10
15
20

Answers

Answer:

The length of the arc is 10 pi

Step-by-step explanation:

Mathematically, the length of an arc is calculated as;

theta/360 * 2 * pi * r

theta represents the central angle subtended by the arc which is a right angle according to the question (a right angle is 90 degrees)

r is the circle radius which is 20 inches

so we have the length of the arc as;

90/360 * 2 * pi * 20 = 40 pi/4 = 10 pi

Guys please help me if you don’t mind

Answers

Step-by-step explanation:

Step 1: The factors of -60 that add up to -11 are -15 and 4.

Step 2:

[tex]( 6{x}^{2} - 15x)( 4x - 10)[/tex]

Step 3:

[tex]3x(2x - 5) + 2(2x - 5)[/tex]

[tex](3x + 2)(2x - 5) [/tex]

Final step = (3x + 2)(2x - 5)

What are the maximum and minimum of the function f(x) = 0.9 I -(x - 5) I + 7 ? A. Maximum at (5,7) and minimum at (0,0) B. Minimum at (5,7) and no maximum C. Minimum at (0,0) and no maximum D. Maximum at (5,7) and no minimum

Answers

Answer:

[tex]Minimum = (5,7)[/tex]

No maximum

Step-by-step explanation:

Given

[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]

Solving (a): The minimum

The minimum is when the absolute parameter gives 0

i.e.

[tex]0.9|-(x - 5)| =0[/tex]

Divide both sides by 0.9

[tex]|-(x - 5)| =0[/tex]

Open bracket

[tex]|-x + 5| =0[/tex]

Remove absolute sign

[tex]-x + 5 =0[/tex]

Collect like terms

[tex]x = 5[/tex]

Then the y value is:

[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]

Recall that: [tex]0.9|-(x - 5)| =0[/tex]

So, we have:

[tex]f(x) = 0 + 7[/tex]

[tex]f(x) = 7[/tex]

Hence, the minimum is at: [tex](5,7)[/tex]

Since the minimum is at [tex](5,7)[/tex], then the graph will open upwards.

Hence. the function has no maximum; i.e.

[tex]Maximum = (\infty,\infty)[/tex]

someone help please!!!!!!!

Answers

Answer:

I dont know the answer for this question

maybe 0.05?

there are 5 seniors that take the bus

the total number of students (sophomores + juniors + seniors) is 100

so 5 seniors that take the bus out of 100 students.

5/100

divide

0.05

Help and explain pls and thankyouuu

Answers

Answer:

f(-3.2) = -7.2

Step-by-step explanation:

Here, we want to calculate f(-3.2)

What we have to do here is to substitute-3.2 for x in the equation for f(x)

Mathematically, we have this as;

f(-3.2) = -3.2-4 = -7.2

In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Select all that apply

Answers

Answer:

option 1

Step-by-step explanation:

I am not sure, what your are asking about.

in your text you define the length of DF (20), but the answer options (only 2 visible) also specify DF but differently.

so ... ?

when you said DF=20, did you actually mean DE ?

under that assumption

DE = 20 = Hypotenuse of the right-angled triangle (the opposite side of the 90 degree angle).

EF = 17

based on Pythagoras

c² = a² + b²

we have here now

20² = 17² + DF²

400 = 289 + DF²

DF² = 400 - 289 = 111

DF = sqrt(111)

someone help me please with this algebra problem

Answers

Answer:

D.

Step-by-step explanation:

She cannot buy a negative number of notebooks. She can buy 0 notebooks, or 1 notebook, or 2, or 3, etc. The number of notebooks she buys must be a non-negative integer.

Answer: D.

Solve the equation and enter the value of x below. 7(x + 8) = 84​

Answers

Hello!

7(x + 8) = 84 <=>

<=> 7x + 56 = 84 <=>

<=> 7x = 84 - 56 <=>

<=> 7x = 28 <=>

<=> x = 28 : 7 <=>

<=> x = 4

Good luck! :)

x=4 . 8+4=12 12x7=84

the vector a,b and c are given as a=2i+3j-4k. b =5i+3j+7k. c =6i+2j-k
find 1)a-2b+4c
2)5a+2b-c​

Answers

Here you are! Hope you can understand it :)

There are six different candidates for governor of a state. In how many different orders can the names of the can- didates be printed on a ballot

Answers

Answer: 720

Step-by-step explanation:

Given

There are 6 candidates for a state of governor

Here, order is important. So, the no different orders is given by permutations

[tex]\Rightarrow ^6P_6=\dfrac{6!}{(6-6)!}\\\\\Rightarrow ^6P_6=\dfrac{6!}{0!}\\\\\Rightarrow ^6P_6=720[/tex]

There are 720 different orders for the candidate name to be printed.

Which action taken by a central bank would reflect expansionary monetary policy?
A. Lowering the discount rate to provide more loans to banks
B. Raising the interest that it pays to banks on the balance of their reserves
C. Raising reserve requirements for all banks
D. Selling treasury securities to banks to reduce the money supply​

Answers

Answer:

b

Step-by-step explanation:

well when raising the intrest on other banks it will cause a effect the money supply. the expansionaty monetary policy revolves around intrest rates. B is the only answer that best explains what im trying to say

The action of lowering the reserve requirements for all banks and sales of treasury securities to banks to help reduce money supply reflect the expansionary monetary policy.

What is expansionary monetary policy?

An expansionary monetary policy is an economy policy used to stimulate a declining economy and gross domestic policy.

The 3 expansionary monetary policy includes

lowering of interest rates

lowering of banks reserve requirements

buying of government securities.

Therefore, the action of lowering the reserve requirements for all banks and sales of treasury securities to banks to reduce the money supply reflect the expansionary monetary policy.

Hence, the Option C and D is correct

Read more about expansionary monetary policy;

brainly.com/question/4672250

#SPJ5

Other Questions
Please Help!! Write an absolute value equation that has the solutions x = -10 and x = -5. The equation is:_____ Explain the routine of Chordata everyday. A school bought 45 band uniforms and 18 musical instruments. If theuniforms cost $89 each, what was the total cost of the uniforms? 100 word flash fiction story about someone trapped in a building on fire? no plagiarism. ill mark brainiest. write down the effects of gravitational force Reasons why modern and commercial and animal husbandry are still not growing in Mahalaxmi Municipality (Nepal) A new coffee shop is being built. Its location is the reflection of the arcade's coordinates acrossthe y-axis. Which procedure will find the correct distance between the arcade and the new coffee shop?( there is more than one answer) How many continents are there in the world? Which of the following is NOT a type of figurative language?O metaphorO passive voiceO simileanalonxPlease Help The bill before tax at a restaurant is $32, and the sales tax is 10%. You decide to leave a 15% tip based on the pre-tax amount. What will be the amount of the total bill, including tax and tip? How is the series 6+13+20+...+111 represented in summation notation? 2. How many solutions does this system of equations have? *y = 5x 2y = 5x + 7 there is a 400 meter track. tom rides a bike at the speeed of 450 meters/minute. mike runs at the speed of 250 meters/minute. if both of them set out at the same time and same place, how soon will they meet for the first time? Green Caterpillar Garden Supplies Inc. is considering a one-year project that requires an initial investment of $600,000; however, in raising this capital, Green Caterpillar will incur an additional flotation cost of 2%. At the end of the year, the project is expected to produce a cash inflow of $840,000. The rate of return that Green Caterpillar expects to earn on the project after its flotation costs are taken into account is:________ a. 29.80 b. 22.35 c. 37.25 d. 33.53 PLS HELP QUICK IM BEGGINGGGG!!!!! PLEASE HELP ME!! The following box plot represents the heights of the students in Mr. Taylor's fourth grade math class.In a complete sentence, answer the following question:One of the values in this data set is 138. In this box plot, what does this value mean? A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate1.the coordinate of M and N 2./AB/, correct to one decimal place3.The eqation PQI need answers urgently.pls A hot metal plate at 150C has been placed in air at room temperature. Which event would most likely take place over the next few minutes?- Molecules in both the metal and the surrounding air will start moving at lower speeds.-Molecules in both the metal and the surrounding air will start moving at higher speeds. -The air molecules that are surrounding the metal will slow down, and the molecules in the metal will speed up. -The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down. Alaina wants to decide whether her current cell phone plan is better than a package that another company offers. To compare the two plans, she plotted two lines on a graph, where y represented the total cost of one months service and x represented the megabytes of data that she used in a month. Which part of the graph will represent the cost per megabyte of data used in each plan? What happens as energy from sun warms the earth unevenly? The length of the shadow of a flagpole was found to be 72 feet. The shadow of a 3 foot picket fence in line with the flagpole was 4 feet. What is the height of the flagpole.