.Find a parametrization of the line in which the planes x + y +z = 8 and y + z = 4 intersect. Find the parametrization of the line. Let z=t. x= ___, y= ____, z=___ -[infinity]

Answers

Answer 1

This parametrization represents the line formed by the intersection of the two planes.

To find a parametrization of the line in which the planes x + y + z = 8 and y + z = 4 intersect, we can solve the system of equations formed by the two planes.

First, let's solve the second plane equation, y + z = 4, for y:

y = 4 - z

Now, substitute this expression for y in the first plane equation,

x + y + z = 8:

x + (4 - z) + z = 8

x + 4 = 8

x = 8 - 4

x = 4

Therefore, we have found the values of x and y in terms of z. The parametrization of the line can be represented as:

x = 4

y = 4 - z

z = t (where t is a parameter representing any real number)

So, the parametrization of the line is:

x = 4

y = 4 - t

z = t

This parametrization represents the line formed by the intersection of the two planes.

To know more about parametrization, visit:

https://brainly.com/question/14666291

#SPJ11


Related Questions

Write and solve an equation to find the value of x and a missing angle in the triangle below.

Write and solve an equation to find the value of x and a missing angle in the triangle below.

Answers

Answer:

angle UTS +TSU =TUV

THEREFORE, 81 + 12X =24X+9

THEREFORE, 81 - 9 = 24X - 12X

THEREFORE, 72 = 12X

THEREFORE, 72/12 =X

THEREFORE, x = 6

THEREFORE, ANGLE TSU = 12 * X

= 12 *6

= 72

YOUR ANSWER IS

X=6

TSU=72

THANK YOU......

a function of the form

Answers

Answer:

In The Function of Form, internationally acclaimed architect, Farshid Moussavi, provides a provocative critique of the historically opposing relationship between function and form to reveal the contradiction at the heart of modernism.

Step-by-step explanation:

Answer: A function of the form is a special relationship where each input has a single output like f(x)=x/2 its a function because of the input value

Step-by-step explanation:

a function can be solve this way

f(2)=1

f(16)=8

ect

hope this helps

Sam’s SnowBoards. Com offers 9/8/5 chain discounts to many of its customers. The Ski Hut ordered 21 snow boards with a total list price of $5,103

Answers

The net price is $4,060.75 and the trade discount amount is $ 1,042.25.

Chain discounts = 9/8/5

Total number of snow boards = 21

Calculate the trade discount:

Trade discount = List price x Discount rate

= 5,103 x 0.09

= 459.27

Calculating the net price after the first discount:

= List price - Trade discount

= 5,103 - 459.27

= 4,643.73

Calculating the net price after the second discount:

= Net price after first discount x (1 - Discount rate)

= 4,643.73 x (1 - 0.08)

= 4,274.47

Calculating net price after the third discount:

= Net price after second discount x (1 - Discount rate)

= 4,274.47 x (1 - 0.05)

= 4,060.75

Calculating the trade discount amount -

= 459.27 + 379.26 + 203.72

= 1,042.25

Complete Question:

Sam’s Ski Boards. com offers 9/8/5 chain discounts to many of its customers. The Ski Hut ordered 21 ski boards with a total list price of $5,103. What is the net price and trade discount amount?

Read more about trade discount on:

https://brainly.com/question/29067322

#SPJ4

Solve the simultaneous equations
x – 4y = 18
x – 2y = 10
X =
y =

Answers

Answer:

X = 18

Y = 4

Step-by-step explanation:

Since both X are the same, just subtract the rest.

-4y - (-2y) = 18-10

-2y = 8

y= 4

Substitute y in

x-2y = 10

x-8= 10

x = 10 +8

x=18

. Tell whether (7,-4) is a solution of y ≥ 5 - x.

Answers

(7,-4) is not a solution of the inequality y ≥ 5 - x

How to tell whether (7,-4) is a solution of y ≥ 5 - x?

The inequality expression is given as

y ≥ 5 - x

The solution is given as:

(7, -4)

This means that

(x, y) = (7, -4)

Substitute (x, y) = (7, -4) in the inequality y ≥ 5 - x

So, we have

-4 ≥ 5 - 7

Evaluate the difference

-4 ≥  -2

On the numbering system, -4 is less than  -2

Hence, (7,-4) is not a solution of the inequality y ≥ 5 - x

Read more about inequality at

https://brainly.com/question/24372553

#SPJ1

Please HELP!!!!PLSLSLSLSS​

Answers

Answer: where is the question??

what do you need help with?

suppose that a conveyor used to sort packages by size does not work properly. we test the conveyor on several packages (with h0:incorrect sort) and our data results in a p-value of 0.016. what probably happens as a result of our testing?

Answers

If the p-value of a hypothesis test is 0.016, it means that the probability of observing the data or more extreme data assuming the null hypothesis (i.e., the conveyor works properly) is 0.016. So, we reject the null hypothesis.

This p-value is relatively small and falls below the conventional significance level of 0.05. Therefore, we can reject the null hypothesis that the conveyor works properly and conclude that the conveyor is not sorting packages correctly.

However, we cannot determine the cause of the problem with the conveyor from this hypothesis test alone. Further investigation is necessary to identify the root cause of the issue and determine the appropriate corrective actions.

To know more about p-value:

https://brainly.com/question/30461126

#SPJ4

For the equation, complete the given ordered pairs.

x=−8

( ,6), ( ,-2), ( ,0)

Answers

Answer:

  (-8, 6), (-8, -2), (-8, 0)

Step-by-step explanation:

The equation tells you that x = -8, regardless of the value of y. Every missing value is -8.

A HARD DRIVE COST 225,plus 40 hours per hour

Answers

Y=40x + 225
Because x is your per hour cost.
225+40h=y
225 + 40x = 385
-225 -225
------- -------
40x = 160
x= 4

PLEASE HELP!
A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.

Answers

Two-third of the jar is filled with flower
Hope this helped

solve pls brainliest

solve pls brainliest

Answers

Answer:

125yd^3

Step-by-step explanation:

Answer:

125 yd³

Step-by-step explanation:

Volume of a rectangular prism is:

\(V = \text{width} * \text{length} * \text{height}\)

================================

All of the given measurements are 5 yds.

================================

\(V = \text{width} * \text{length} * \text{height}\\\rule{150}{0.5}\\V = 5 * 5 * 5\\\\V = 5^3\\\\V = \boxed{125}\)

================================

The volume of the rectangular prism should be 125 yd³.

Hope this helps.

Identify the factor and levels in the following scenario: The Hyppo (a gourmet ice pop store) is trying to test out new dip flavors in which customers can dip their popsicles (strawberry, orange, and banana). All of the popsicles are made the same, utilizing the same simple chocolate flavoring for experimental purposes, but the dips are randomly applied. Twenty regular customers are given the popsicles with the dips on them in a random order, and are asked to rate them from 1-3.
Group of answer choices
Factor = dip flavor. Levels = ratings 1-3
Factor = strawberry, orange, and banana. Levels = dip flavor
Factor = the hyppo location. Levels = 20 regular customers
Factor = dip flavor. Levels = strawberry, orange, and banana

Answers

The factor and levels in the scenario is,

Factor = dip flavor. Levels = strawberry, orange, and banana.

What is popsicles?

A frozen treat on a stick made of liquid is known as an ice pop. An ice pop is "quiescently" frozen, or frozen when at rest, and turns into a solid block of ice, unlike ice cream or sorbet, which are churned while freezing to prevent ice crystal formation. It is held by the stick, which serves as a handle.

There is only one factor (independent variable) involved in above case, i.e. dip flavor is only factor mentioned in given case.

We can see that dip flavor has three categories or levels, i.e. strawberry, orange, and banana

Therefore, we have

factor = dip flavor and levels = strawberry, orange, and banana.

To know more about popsicles, click on the link

https://brainly.com/question/28281941

#SPJ4

Water from a leaking faucet is dripping into a cylindrical cup. The height of water in inches, y, after x hours is graphed below. Dripping Water A graph with hours on the x-axis and height (inches) on the y-axis. A line goes through points (1, 2), (2, 4), and (3, 6). Which describes the pattern of the data in the graph? The water level increases by 1 inch each hour. The water level increases by 2 inches each hour. The water level increases by a factor of one-half each hour. The water level increases by a factor of 2 each hour.

Answers

Answer:

y = 2x

Step-by-step explanation:

Step-by-step explanation:

Let

y ----> the height in inches

x ----> the time in hours

we have the ordered pairs

(1, 2), (2, 4), and (3, 6).

step 1

Find the slope

take two points to calculate the slope

(2, 4), and (3, 6)

The formula to calculate the slope between two points is equal to

m = 2 in/h

step 2

Find the equation of the line in point-slope form

we have

m =2

point (2,4)

Convert to slope-intercept form

isolate the variable y

y = 2x

11,6 Consider the first-order model equation in three quantitative independent variables E(y) = 1 + 2x + x2 – 3x3 a. Graph the relationship between y and x1 for xy = 1 and x3 = 3. b. Repeat part a for x = -1 and x3 = 1. c. How do the graphed lines in parts # and b relate to each other? What is the slope of each line? d. If a linear model is first-order in three independent variables, what type of geometric relationship will you obtain when Ely) is graphed as a function of one of the independent variables for various combinations of val- ues of the other independent variables?

Answers

The independent variables for various combinations of values of the other independent variables will be a plane in three-dimensional space.

a. Graph the relationship between y and x1 for xy = 1 and x3 = 3:

To graph the relationship between y and x1 for x2 = 1 and x3 = 3, plug these values into the equation:

E(y) = 1 + 2x1 + x12 – 3(3)

= 1 + 2x1 + x12 – 9

= x12 + 2x1 – 8

Using a table, create a list of values for x1 and y, with x1 ranging from -5 to 5:x1 y -5 22 -4 13 -3 2 -2 -3 -1 -6 0 -7 1 -6 2 -3 3 2 4 13 5 22Plotting these points results in the following graph:

b. Repeat part a for x = -1 and x3 = 1:To graph the relationship between y and x1 for x2 = 1 and x3 = 3, plug these values into the equation:

E(y) = 1 + 2(-1) + (-1)2 – 3(1) = 1 – 2 + 1 – 3 = -3

Using a table, create a list of values for x1 and y, with x1 ranging from -5 to 5:x1 y -5 12 -4 9 -3 6 -2 3 -1 -2 0 -3 1 -2 2 3 3 6 4 9 5 12

Plotting these points results in the following graph:

c.  In part a, the graphed line slopes upward, indicating a positive relationship between y and x1. The slope of this line is 2.In part b, the graphed line slopes downward, indicating a negative relationship between y and x1. The slope of this line is -2.The graphed lines in parts a and b relate to each other as reflections across the line x1 = 0. This is because the equation is symmetrical with respect to x1 = 0, meaning that the same relationship between y and x1 is obtained whether x1 is positive or negative.

d. If a linear model is first-order in three independent variables, what type of geometric relationship will you obtain when E(y) is graphed as a function of one of the independent variables for various combinations of values of the other independent variables a linear model is first-order in three independent variables, the geometric relationship obtained when E(y) is graphed as a function of one of the independent variables for various combinations of values of the other independent variables will be a plane in three-dimensional space.

To know more about functions visit:

https://brainly.com/question/11624077

#SPJ11

PLEASE HEEEEEEEEELP ME............

PLEASE HEEEEEEEEELP ME............

Answers

Answer:What do you need help with?   My name is woods245 and whatever you need help with?

Step-by-step explanation:

expand and simpfly (x-5)(x-4)

Answers

Answer:

x² -9x + 20

Step-by-step explanation:

x²-4x -5x + 20

x² - 9x + 20

A lake was closed because of an accidental pesticide spill. The concentration of the pesticide after the spill was 848 parts per million. Each day the water is tested, and the amount of pesticide is found to be about 75% of what was there the day before. Do you think the lake will ever be completely free of the pesticide? Explain.

Answers

Answer:

Step-by-step explanation:

\(a_{n}=a_{1}r^{n-1}\\0=848(0.75)^{n-1}\\or~(0.75)^{n-1}=0\\0.75<1\\so~(0.75)^{n-1} \rightarrow 0,if~n-1 \rightarrow ~\infty\)

\(or~n \rightarrow 1+\infty\\or~n \rightarrow \infty\)

Hence lake will never be free of pesticide.

Please telll me answerPlease tell me answer​

 Please telll me answerPlease tell me answer

Answers

Answer:

x = 1 .  Hopefully im reading this correct

Step-by-step explanation:

8x - 5 = 3

8x = 5 + 3

8x = 8

x = 8/8

x = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x is 1

Step-by-step explanation:

AC =PR

AB =PQ

8x - 5 =3

8x =3+5

8x =8

x=8/8

x=1

The triangle ABC had points at A(2,0), B (-1,3), and C(4,5) after undergoing a transformation, it’s new points are A’(6,0),B’(3,3), and C’(8,5) is the new figure congruent to the old figure? Why or why not?

Answers

Answer:

yes

Step-by-step explanation:

from the two sets of given points, we can conclude a translation of (x + 4, y + 0) occurred. when something is congruent the size and shape stay the same. translations only affect the location. therefore the answer is yes the transformation is congruent.

Someone please help!!

Someone please help!!

Answers

G it would be g because it’s 13.5 in

Answer: I think the answer is F but I don’t know because I haven’t seen this in forever

Step-by-step explanation:

Pls I need the answer I’m stuck!!!

Pls I need the answer Im stuck!!!

Answers

Answer:

y>3x+2

Step-by-step explanation:

y>3x+2

a person who does not ignore a sunk cost increases the probability that

Answers

A person who does not ignore a sunk cost increases the probability of making irrational decisions. This is because they are more likely to continue investing time, money, or effort into a project or situation that is not yielding positive results.

When we refer to a "sunk cost," we mean a cost that has already been incurred and cannot be recovered. Ignoring a sunk cost means not taking it into consideration when making decisions about the future. By not ignoring a sunk cost, individuals may feel a psychological attachment to their past investment, leading them to continue investing in something that may not be beneficial.

This can result in irrational decision-making and potentially wasting additional resources. For example, imagine a person who has spent a significant amount of money on a gym membership but rarely goes to the gym. Instead of accepting the fact that the money is already spent and may not be recouped.

They may feel compelled to continue paying for the membership in the hopes of eventually utilizing it. This decision is influenced by their failure to ignore the sunk cost and assess the situation rationally.

To know more about Cost visit.

https://brainly.com/question/14566816

#SPJ11

please please please help!

please please please help!

Answers

Answer:

4

Step-by-step explanation:

The multiplication of both indices gives 4

The reflectance curve is a plot of the light reflected off a surface as a function of _____.
a. spatial frequency
b. contrast
c. wavelength
d. orientation

Answers

the answer is letter v

Graph the line that contains the point(-7,-4) and has a slope of -2/3

Graph the line that contains the point(-7,-4) and has a slope of -2/3

Answers

Answer:

Place one at (-7,-4) and the other at (-4,-6)

Step-by-step explanation:

If l=5 and b=3 ,find the values of L*B

Answers

Answer:

The value of L×B is 15

Step-by-step explanation:

L×B

5×3

15

Answer:15

Step-by-step explanation:

If l=5 and b=3 ,find the values of L*B

The diameter of a circle is m. What is the area

Answers

Answer:

\( (\frac{{m}^{2} }{4} )\pi\)

Step-by-step explanation:

we can find the radius from the diameter by dividing the diameter by 2 (radius is half the diameter)

the formula for the area of a circle is r²π (with r being radius) but since we must use diameter we have to replace r with (m/2)

this gives us our new formula of (m/2)²π, which simplifies to (m²/4)π

that is the answer

- kan academy advance


Please please help please please

Please please help please please

Answers

Answer:

75

Step-by-step explanation:

With reference angle 53°

base (b) = 45

hypotenuse (h) = K

Now

cos 53° = b / h

0.6 = 45 / K

K = 45 / 0.6

K = 75

The time it takes to fly from Paris to London is normally distributed. If the mean flight time is 80 minutes with a standard deviation of 3.8 minutes, what is the probability that the next flight from Paris to London will take under 72.4 minutes?

A.13.60%
B.4.56%
C. .15
D 2.28

Answers

Answer:

13.60%

Step-by-step explanation:

Just took the test

Answer:

2.28%

Step-by-step explanation:

I took the quiz and got it right

What is the value of 11p10?

Please answer. No links! & I will mark you as brainless!

Answers

The number of permutations is:

39,916,800

How to find the value of the permutations?

To find this, we need to take the quotient between the the factorial of the total number of elements (11 in this case) and the difference between the total and the number we are selectingh (10)

Then the number is:

11p10 = 11!/(11 - 10)! = 11! = 39,916,800

So that is the number of permutations that we can do with 10 elements out of a set of 11 elements.

LEarn more about permuations at:

https://brainly.com/question/1216161

#SPJ1

Other Questions
Given what you know about NF1, explain how Kai's symptoms area result of a change to his neurofibromin gene and the neurofibromin protein. to train employees, answer questions, and provide guidance in doing a task, managers need (1 point) evaluate the integral and check your answer by differentiating. [sec(x) cos(x)2cos(x)]dx[sec(x) cos(x)2cos(x)]dx Your project should include discussions of the following: the structures and functions of the circulatory system factors that affect blood flow through the circulatory system interactions between the red blood cell and important molecules, cells, and organs important terms including: alveoli arteries bone marrow capillaries carbon dioxide cellular respiration deoxygenated blood heart hemoglobin lungs oxygen oxygenated blood plasma platelets pulmonary circulation systemic circulation veins white blood cells how do i write the inequality of this? Two lines meet at a point that is also the vertex of an angle. Jen can write 200 words in 6 minutes.What expression represents the unit rate, in words per minute?A ) 6/200B ) 6/1C ) 200/6D ) 200/1 Can anyone give me $2 (Reddem code/Promo Code) Suppose that actual inflation is 3 percent, the Fed's inflation target is 2.5 percentage points, and unemployment rate is 3.5 (which is 0.5 percent below the Fed's full-employment target of 4 percent). According to the Taylor Rule, what value will the Fed want to set for its targeted interest rate? Instructions: Enter your answer rounded to 1 decimal place. percent 6.07 what is the role of the federal reserve? The table shows the relationship between the cost of renting a movie (in dollars) to the number of days the movie is rented what is the specific activity of an 8 ml purified enzyme sample that converts 450 mole of its substrate to product per minute at 25 c when the protein content is 10 mg/ml? Ill give you brainliest if you get this right if you don't you get reported In a high-context culture ________. A. people use unambiguous language to communicate B. direct conversation is the norm C. people tend to get right to the point D. people use explicit language to communicate a message E. people rely on subtle cues what are the coordinates of the point on the directed line segmentbfrom (-4,3) to (-2,-5) that partitions the segment into a ration of 1 to 3? Writing : 2020: A YEAR TO REMEMBER OR A YEAR TO FORGET? (Talk about the impact in your life) I need to finish this by 2:00 can someone please help me What causes exchange rates to change? A. The World Bank sets the rates each day. B. The Chinese government sets worldwide exchange rates. C. The rates change when nations decide to use a bartering system. D. The rates change based on the supply of and demand for different currencies. Please select the best answer from the choices provided A B C D 1. W ktrych zdaniach wyrnione zakoczenia zapisano niezgodnie z wymow? Podaj wyrazypokrewne uzasadniajce tak pisowni. Prowadz prywatne ledztwo, aby dowiedzie si, kim jestem.Ludzie przypominaj czasem dzikie ptactwo. Nic, co ludzkie, nie jest mi obce.. Perform this operation solving for x. Give answer to the proper number of significant figures. x=0.01953 cm + (7.32 x 10^-3 m)