Find an equation of the plane through (-1,4,-3) and perpendicular to the line x-2=t , y+3=t , z=-t​

Answers

Answer 1

Answer:

  x + y -z = 6

Step-by-step explanation:

The equation of the line can be rewritten as ...

  (x, y, z) = (2, -3, 0) +t(1, 1, -1)

The direction vector of the line tells you the coefficients of the variables in the equation of the plane. The constant in that plane equation will be the value required to make it pass through the given point.

  x + y - z = (-1) +(4) -(-3)

  x + y - z = 6 . . . . equation of the plane


Related Questions

How do I get the answer for exponents? Please explain step by step to get marked!

Answers

Answer:

4900

Step-by-step explanation:

70^2 means 70*70

70*70=4900

Answer:

you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.

Does anyone else like Gavin Magnus? If so what are your favorte things about him! I'mgiving brainliest

Answers

I LOVE OUR SWEET MATCHLESS CHRIST JESUS!

Complete the table of values for
1
0
1
1
1
1
1) On the writ, draw the graph of
12
1
0
(0) Use your graph to find
(1)
the value of when x 1.5
(b) the value of x when y6
26
6

Answers

Answer:

can't see the pic properly

Zayden has a total of 20 bills in his wallet. Also, his wallet only contains $50 and $100 bills. If the numbers of $50 and $100 bills are interchanged, the total amount of money in Zayden’s wallet would be $500 more than it originally was. Find the original amount of money in his wallet.

$

Answers

Step-by-step explanation:

x = number of $50 bills

y = number of $100 bills

x + y = 20

50x + 100y + 500 = 100x + 50y

50y + 500 = 50x

y + 10 = x

now we use that in the first equation :

y + 10 + y = 20

2y = 10

y = 5

x = y + 10 = 5 + 10 = 15

so, he has 15 $50 bills and 5 $100 bills = $750 + $500 = $1250 in his wallet

Plsss helpp no links plss

Answers

Answer:

arrange them: -9x^3+2x^3-4x^2+x^2-6x-5x

the simplified is: -7x^3-3x^2-11x

Round 479 to the nearest ten. Enter your answer in the box below.
Answer here
.
SUBMIT

Answers

Answer:

480

we round up because the last number is bigger than 5

What is the area of a square whose perimeter is 12x cm?

Answers

Answer:

9

Step-by-step explanation:

12/4=3

3*3= 9

Filler and more filler

The area of  the square is 9 [tex]cm^{2}[/tex].

What is area?

The space occupied by a flat shape or the surface of an object is called area.

Formula for the area of square?

[tex]Area = a^{2}[/tex]

Where, a is the length of the side of a square

What is perimeter?

Perimeter is the total length of the sides of a two-dimensional shape.

Formula for the perimeter of square

Perimeter of a square = 4a

Where, a is the side of a square

According to the given question

Perimeter of a square is 12cm.

Let a be the length of the side of a square.

Therefore,

Perimeter of the square = 4a

⇒ 12 = 4a

⇒ a = 12/4

⇒ a = 3cm

So, the area of square = 3cm × 3cm = 9 square cm

Hence, the area of  the square is 9 [tex]cm^{2}[/tex].

Learn more about  area of square here:

https://brainly.com/question/1658516

#SPJ2

Function h gives the height of a tennis ball, in feet, t seconds after it is tossed straight up in the air. The equation h(t) = -16t2 +12t+10 defines function h

Answers

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output
See picture attached

Work out m and c for the line: y = 8 − x

Answers

The answer is

M = -1
C = 8

m=-1 and c=8 for the line  y = 8 − x

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is  y = 8 − x

This equation we can write in the form of slope intercept form

y=-x+8

y=(-1)x+8

Now compare the above equation with slope intercept form

m=-1 and c=8

Hence, m=-1 and c=8 for the line  y = 8 − x

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ2

Consider the following conversation.
Paul: Alsafat telling a lie.
Alsafat: I am telling a lie.
Emman: Paul telling a lie.
Suppose that exactly one of them telling a truth. Who is telling a truth?

Answers

Answer: Emman is telling the truth because no one is saying that he is telling a lie.

Step-by-step explanation:

Need a little help on this

Answers

This triangle has two same long sides, Therefore, the two unknown angles have the same value

triangle total angle value = 180°
180° - 56° = 124° : 2 = 62°

Answer:

Step-by-step explanation:

This is an isosceles triangle. You can tell because 2 of the sides are equal and the third is not equal to either of the other two.

x + x + 56 = 180                  Combine the left

2x + 56 = 180                      Subtract 56 from both sides.

2x = 180 - 56

2x = 124                               Divide by 2

x = 124/2

x = 62

Find two consecutive whole numbers that 60 lies between.

Answers

Answer: Benchmark numbers can be used to state that the square root of 60 is between 6 and 7.

Answer: 50 and 100

Step-by-step explanation:

( sorry if this is not what you meant ;-; )


Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups

Answers

The required equation that represents the graph is y = x + 30

The standard linear equation is given as y = mx + b

m is the slope b is the y-intercept

Using the coordinates (20, 50) and (40, 70)

Get the slope of the line:

m = 70-50/40-20

m = 20/20

m = 1

Since the line cuts the y-axis at y = 30, hence the y-intercept is 30.

The required equation that represents the graph is y = x + 30

Learn more on equation of a line here: https://brainly.com/question/13763238

If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b

Answers

Answer:

Step-by-step explanation:

a+√b

a-√b

Pls look at photos I’ll give 30 points

Answers

you said you’d give 30 points but i only see 15 there ☹️

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )

Answers

Answer:

A (2,2) B (2,4) C (3,2) D (3,3)

Step-by-step explanation:

K = 1/2

K is the scale factor so the distance between points will be cut in half

A 4,4 new 2,2

B 4,8 new 2,4

C 6,4 new 3,2

D 6,6 new 3,3

Answer:

A = (2,2)

B = (2,4)

C = (3,2)

D = (3,3)

Step-by-step explanation:

Leave a brainliest if this helped

flying against the wind, an airplane travels 5220 kilometers in 9 hours. flying with the wind, the same plane travels 6560 kilometers in 8 hours. what is the rate of the plane in still air and what is the rate of the wind?

Answers

a.

The rate of the plane in still air is 700 km/h

Let V = rate of plane in still air and v = rate of wind.

When flying against the wind, an airplane travels 5220 kilometers in 9 hours, we have that since distance = speed × time

(V - v) × 9 = 5220

V - v = 5220/9

V - v = 580  (1)

Also, flying with the wind, the same plane travels 6560 kilometers in 8 hours, we have that since distance = speed × time

(V + v) × 8 = 6560

V + v = 6560/8

V + v = 820 (2)

Adding equations (1) and (2), we have

V - v = 580  (1)

+

V + v = 820 (2)

2V = 1400

V = 1400/2

V = 700 km/h

So, the rate of the plane in still air is 700 km/h.

b.

The rate of the wind is 120 km/h

Substituting V into (1), we have

V - v = 580  (1)

700 - v = 580  

v = 700 - 580

v = 120 km/h

So, the rate of the wind is 120 km/h

Learn more about rate of plane here:

https://brainly.com/question/18848032

A hybrid car can go 400 miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?

Answers

Answer:

50 miles

Step-by-step explanation:

Take the number of miles and divide by the number of gallons

400 miles / 8 gallons

50 miles per gallon

Answer:

50 miles

Step-by-step explanation:

if for each 8 gallons it can go to 400 miles

so the 8 will be divided to 8 and get 1

and also divide the 400 into 8 you will get 50 miles per 1 gallon

ALOT OF POINTS FOR THIS ONE

Admission to the state fair is $12, and each ride ticket costs $3.50. Write an
expression to represent the situation and explain what the variable means.

3.50t + 12 where t represents the number of ride tickets
3.50a + 12 where a represents the cost of admission
12a + 3.50 where a represents the cost of admission
12t + 3.50 where t represents the number of ride tickets

Answers

Answer:

Step-by-step explanation:

12a + 3.50t x 6rides

Need help need help need help need help need help need help need help

Answers

Answer:

10 to 11 would be correct

Answer:

10 to 11

Step-by-step explanation:

Solve using substitution.
y = -9x - 8
y = -6x – 2
Please help

Answers

Answer:

y = 10; x = -2

Step-by-step explanation:

Because both are equal to y, you can set them equal to each other.

-9x - 8 = -6x - 2

- 6 = 3x

x = -2

y = -9(-2) - 8 = 10

estimate 127600 multipled by 0.93​

Answers

Answer : 115,200

Step - by - step explanation :

sorry if this is wrong !

127,600 --> 128,000

0.93 --> 0.90

128,000 x 0.90 = 115,200

Given f(x)=1/4(5−x)2 what is the value of f(11)?

Answers

Answer:

-3

Step-by-step explanation:

Substitute the value of 11 into x within the function so it would be f(11) = 1/4(5-11)2 which is - 3.

Company A makes 20 notebooks in 4 hours. Company B make 28 notebooks in
3 hours. Write a statement comparing the number of notebooks made per
hour.

Answers

•Company B makes more books(8 more) in less time (1 hour Less) while company A makes 8 less in more time.

Simplify
O A. 6^16
O B. 6
O C. 6^4
O D. 1/6

Answers

the answer for this question is B

three less than a number is -18

Answers

Answer:

-15

Step-by-step explanation:

work in reverse

-18 is three less than something

that means that something is 3 more than -18

so

add 3 to -18

-18+3= -15

Please help derivitive
Please dont comment if you dont know …

Answers

[tex]\lim \limits_{x \to 0^{+}} \left( \csc x + \dfrac 1x \right)\\=\lim \limits_{x \to 0^{+}} \csc x + \lim \limits_{x \to 0^{+}} \dfrac 1x\\\\=\infty[/tex]

right answers only plz and thank you :)

Answers

The required value of "k" is 8. Option B is correct

Given the polynomial function

[tex]P(x) =2x^3-4x^2+kx-3[/tex]

What is remainder theorem?

The remainder theorem is a formula used to find the remainder when a polynomial is divided by a linear function.

If  this polynomial has a factor of x - 1 and remainder of 3, hence x = 1 and P(x) = 3. This means that P(1) = 3

[tex]P(1) =2(1)^3-4(1)^2+k(1)-3\\3 = 2-4+k-3\\6 = -2 + k\\k = 8\\[/tex]

Hence the required value of "k" is 8

Learn more on polynomial function  here: https://brainly.com/question/10881257

Graph the line that has a slope of 4/3 and contains the point (0,-4)?
Please I need help fast

Answers

Answer:

It's attached

Step-by-step explanation:

y=4/3x-4

is the equation for the line

So you just plot the line.

The equation for the given slope and point is y = 4x/3 - 4

What is slope?

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, a line that has a slope of 4/3 and contains the point (0,-4)

The slope intercept of a line is y = mx+c, where m is slope,

Here, m = 4/3, x = 0 and y = -4

Finding for c,

-4 = 4/3x0+c

c = -4

Establishing the equation,

y = 4x/3-4

Now plotting the graph,

(Attached)

Hence, the graph will pass through the points (3,0) and (0,-4)

For more references on slope, click;

https://brainly.com/question/3605446

#SPJ2

000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ooooooooooooooooooooooooo0oo00o00oo0oo0o0o0o0o0oooooooooooooooooo

Answers

Answer:

wat?

Step-by-step explanation:

merry christmas....yey!!

Other Questions
what is the main characteristic of a nomadic tribe? The area of a rectangular pool is 5628 m^(2). If the width of the pool is 67m, what is its length? Which category of the Eightfold Path encourages Buddhists to develop awareness of their own desires and meditate to focus on positive thoughts? A. Sila B. Samadhi C. Nirvana D. Prajna "Agon" is the most austere of the three productions. Found answer but open if want to know the answerTrueFalse What is 95/18 as a decimal? Please include an explanation and the correct answer!I will give brainliest to the best answer!I need it in the next 5 mins! Thank you! Need asap thank you Learning Outcomes: You will be able to say what you (and others) have and describe a variety of feelings and conditions with the verb tener.You will also be able to ask and say where somebody is going and to say Lets go!Key words and concepts: The verb tener in the present tense; Common expressions with tener; The verb ir in the present tenseChoose the more logical verb of the two and write its correct form in the present tense. Use a capital letter if the verb is the first word of the sentence.1. (Yo: tener / ir) ______ seis clases. Estoy muy ocupado!2. Paco y yo (tener / ir)______ hambre. Vamos a la cafetera.3. Adnde______(t: tener / ir)? Al gimnasio? Vamos!4. Juan Manuel (tener / ir)_______ diecinueve aos.5. Elena y Martn (tener / ir)_______a la clnica. Estn un poco enfermos.6. Mi compaero de cuarto (tener / ir) ______a la biblioteca. Tiene que estudiar (study).Need This asap, giving brainliest answer to correct person. Which of the following is NOT considered a characteristic of Edgar Allan Poes life?A stable homeSuccess in writingAlcohol abuseA love wife If you push something out of someones hands, which law of motion is it? what is an equation of the line that passes through points (-7,-5) and (-7,-2)? what happens if you take 65% of $21.00 and compute 110% of the reduced price How was the Aryan way of life different from that of the Harappa civilization? Part DSanjay: Why does a writer choose a specific form of writing?a General meaning of make if p(x)=x^2-4x+3 evaluvate p(2)-p(-1)+p(1/2) where do Tubal Ligation located How long has aaron rodgers played for the green bay packers? Can someone please answer this no bots answer this please Ill give you brainliest MARKING BRAINLIEST PLEASE HELP How are pyramids important to society today and in Ancient Egypt?