Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x

Answers

Answer 1

This question is incomplete, the complete question is;

Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x  = y = z.

Answer:

the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

Step-by-step explanation:

Given that;

line x = y = z and point ( 3, 1, 2 )

the given line can be written as;

[x-0 / 1] = [y-0 / 1] = [z-0 / 1]

if two lines are parallel directional ratios are equal.

so DIRECTIONAL RATIOS  of given line is ( 1, 1, 1 )

therefore required line is;

[x-3 / 1] = [y-1 / 1] = [z-2 / 1] = t

⇒ [x-3 / 1] = t

x = t+3

[y-1 / 1] = t

y = t+1

[z-2 / 1] = t

z = t+2

Therefore the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2


Related Questions

Please help!! I just need help with question 40!!

Answers

Answer:

a. 70%

b. 6 more times

c. subtract from 100% with percentages, subtract from 1 with decimals.

Step-by-step explanation:

a. To find the percentage of red and yellow, skip back the decimal point two times: 0.26 > 26%     0.04 > 4%

Add all of the percentages together to get 70%

b. To find how many times more students said red than yellow, divide yellow from red. It shows you how many times yellow can go into red, giving you the correct answer.

0.26 ÷ 0.04

26 ÷ 4

6

c. 14% + 26% + 40% + 4% = 84%

100% - 84%

16%

(do the same thing with decimals and pick your favorite method)

:)

Choose the equation of the graph shown below:
y = x - 11-3. y = Ix + 11-3
y = IX - 11 + 3

Answers

Answer:

A or number 1

Step-by-step explanation:

x-1 = -x

so we go this way <--

then we go down 3

so -3

y= lx-1l-3

I hope I'm correct!

Which of the sets of ordered pairs represents a function? (4 points)
A = {(-5,5), (-2, 2), (2, -2), (5, -5)}
B = {(4,2), (3,-2), (9,4), (11, -3)}
Only A
Only B
Ο Ο Ο
Both A and B
Neither A nor B

Answers

Both A and B
They all have different values for domain, and therefore are functions

Answer:

A if i'm not mistaking

Step-by-step explanation:

Which is the graph of f(x) = 2(3)x

Answers

The graph of f(x)=2(3)x would look like this

Solve for the variable 4-14=5x

Answers

Answer:

X = 2

Step-by-step explanation:

4-14=5x

10=5x

10/5=5x/5

2=x

Answer: x = -2

Step-by-step explanation:

Let's solve your equation step-by-step.

4−14=5x

Step 1: Simplify both sides of the equation.

4−14=5x

4+−14=5x

(4+−14)=5x

(Combine Like Terms)

−10=5x

−10=5x

Step 2: Flip the equation.

5x=−10

Step 3: Divide both sides by 5.

5x/5=−10/5

x=−2

Dionna rode her skateboard at a speed of 10 miles per hour. Which statement is correct?
If she covered 2.5 miles, she rode for 0.25 hours.
If she covered 2.5 miles, she rode for 4 hours.
If she covered 4 miles, she rode for 0.25 hours.
If she covered 4 miles, she rode for 4 hours.

Answers

Answer:

She covered 2.5 miles, she rode for 0.25 hours.

Step-by-step explanation:

0.25*10=2.5

Option A. In 0.25 hours, she rode 2.5 miles.

ummmmmmmmmmmmmmmmmmmmm so you can just say what box if you dont want to explain i just think its all 3 if them one i figured out was wrong but the others i cant tell and i also suck at math

Answers

Answer:

Table (4)

Step-by-step explanation:

If data in the given tables show the proportional relation then they will follow the rule,

y = kx

k = [tex]\frac{y}{x}[/tex]

where 'k' = proportionality constant

From table (1),

k = [tex]\frac{2}{1}[/tex] = 2

k = [tex]\frac{3}{2}=1.5[/tex]

But 2 ≠ 1.5

So the data in the table (1) is not proportional.

Table (2)

k = [tex]\frac{0}{2}=0[/tex]

k = [tex]\frac{2}{4}=0.5[/tex]

Therefore, data in the table is not proportional.

Table (3)

k = [tex]\frac{1}{0}[/tex] = Not defined

k = [tex]\frac{3}{2}=1.5[/tex]

Data is not proportional.

Table (4)

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

  = 3

k = [tex]\frac{3}{1}=3[/tex]

3 = 3

Therefore, data given in table (4) represents the proportional relationship.

What is the relationship between vectors u = ⟨1, 0⟩ and v = ⟨0, –3⟩?

The vectors form an acute angle of approximately 48°.
The vectors form an acute angle of approximately 71°.
The vectors are orthogonal because the angle between them is 90°.
The vectors form an obtuse angle of approximately 132°.

Answers

Answer:

C) The vectors are orthogonal because the angle between them is 90°.

Step-by-step explanation:

got it right on edge :)

The vectors are orthogonal because the angle between them is 90°. Option C is correct.

What exactly is a vector?

A vector is a quantity with a magnitude, and direction that follows the law of vector addition.

Given data;

u = ⟨1, 0⟩

v= ⟨0, –3⟩

The angle between the vector is found by the formula as;

[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0[/tex]

Hence option C is correct.

To learn more about vectors, refer;

https://brainly.com/question/13322477#SPJ2

#SPJ2

Kylie is 59.54 inches tall. Her friend Adam is 1.37 inch taller than she is. How tall is
Adam?

A 58.17 inches tall
B 60.85 inches tall
C 60.91 inches tall
D 70.35 inches tall

Answers

C; 60.91 inches tall

A class of 25 students includes 12 boys. Does the ratio of
girls to students represent a fraction? Does the ratio of
boys to girls represent a fraction? How do you know?

Answer- The ratio of girls to students represents a fraction because it is a part- to-whole comparison. The ratio of boys to girl is not a fraction because it is part-to-part.

Answers

Yes it can be a fraction it would be12/13

Answer:

Step-by-step explanation:

Sample Response: The ratio of girls to students represents a fraction because it is a part-to-whole comparison. The ratio of boys to girls is not a fraction because it is a part-to-part comparison.

y=4x+1
y=-3/4 |x|

how do i graph these equations (separate problems)?

Answers

This is for the first answer and to be honest just use Desmos if you don’t have a graphing calculator

URGENT DUE AT 1:00 PLZ HELP... MATH123456

Answers

Answer:

Step-by-step explanation:

Nose

Which of the following is an example of a complex number that is not in the set of real numbers?
O-7
O 2+ V3
O 4 + 9
Ол

Answers

Answer:

C) 4+9i

Step-by-step explanation:

A complex number is represented as: [tex]a + bi[/tex].

Where:  [tex]a \to[/tex] Real part and      

[tex]bi \to[/tex] Imaginary part

From the given numbers, [tex]4 + 9i[/tex] is a complex number

The given numbers are:

[tex]-7[/tex]

[tex]2 + \sqrt 3[/tex]

[tex]4 + 9i[/tex]

[tex]\pi[/tex]

By comparing [tex]a + bi[/tex] with the given numbers;

We can conclude that: [tex]4 + 9i[/tex] is a complex number

Because it has a real part (4) and an imaginary part (9i)

Read more about complex numbers at:

https://brainly.com/question/19007885

a group of 5 friends goes to a show. Each ticket cost $9, and the friends share a popcorn that cost $6. Which shows the total cost

Answers

Answer:

The total cost is $51

Step-by-step explanation:

The answer is 51 because 5 times 9 is 45 and 45 plus 6 is 51

.

Answer:

the total cost is $51.00 dollars

In a recent survey of 79 heads of household, 46 said they did online banking on their cell phones. Find the standard error for the sample proportion of heads of household who do online banking on their cell phones. Enter your answer as a decimal rounded to three decimal places.

Answers

Answer:

[tex]SE_p = 0.055[/tex]

Step-by-step explanation:

Given

[tex]n = 79[/tex] --- Heads

Proportion, p = 46 out of 79

Required

Determine the standard error for sample proportion (SEp)

This is calculated using the following formula

[tex]SE_p = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this case:

[tex]p = \frac{46}{79}[/tex]

[tex]p = 0.5823[/tex]

Substitute values for p and n in:

[tex]SE_p = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]SE_p = \sqrt{\frac{0.5823 * (1-0.5823)}{79}}[/tex]

[tex]SE_p = \sqrt{\frac{0.5823 * 0.4177}{79}}[/tex]

[tex]SE_p = \sqrt{\frac{0.24322671}{79}}[/tex]

[tex]SE_p = \sqrt{0.00307881911}[/tex]

[tex]SE_p = 0.0554871076[/tex]

[tex]SE_p = 0.055[/tex] ---- Approximated

PLS HELP. It’s question 18

Answers

Answer:

no

Step-by-step explanation:

No because figure b is much bigger and has a steeper angle at the top

What is the unit price of 12 gallons of gasoline that costs $39.48 ?

Answers

The unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon

How to determine the unit price?

The given parameters are:

Gallons = 12

Cost = $39.48

The unit price is calculated as:

Unit = Cost/Gallon

So, we have:

Unit = $39.48/12

Divide

Unit = $3.29

Hence, the unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon

Read more about unit rates at:

https://brainly.com/question/19493296

#SPJ1

Jacob walks 1.250 meters to school every day. How many kilometers does Jacob walk in one week?
HELP ASAP

Answers

Answer:

ways and answer are in paper

^^^^^^^

what number is 386 more than the sum of 345 and 425

Answers

I think it is 1156 because 345 + 425 = 770, and 770 + 386 = 1156

The sum of 7 and the cube of a number.

Answers

Answer:

7+x3

Step-by-step explanation:

Sum means to add the addends together. A number is a word form of a variable, and you are cubing that number which is multiplying that number by itself three times.

You are downloading songs to your MP3 player. The ratio of pop songs to rock songs is 5 : 4. You download 40 pop songs. How many rock songs do you download?
You download ___
rock songs.

Answers

Answer:

You download 32 rock songs.

Step-by-step explanation:

*im a 7th grader so dont trust me with this answer lol*

The ratio 5 : 4 can also be written as the fraction 5/4.

The ratio pop songs, 40 : rock songs, r can be written as the fraction 40/r

Set an equation:

40/r = 5/4

Cross Multiply:

5r = 160

Divide 5 from both sides:

r = 32

There you have it, the amount of rock songs downloaded! Hopefully this helps!

Irene can snap 48 times in 8 minutes at a constant rate. How many
times can she snap in 9 minutes?

Answers

6 snaps a minute if you multiply 9 x 6 is 54

Answer:

54 times in 9 mins.

Step-by-step explanation:

divide 48/8 = 6

6 times 9 = 54

Harper plans to purchase her school pictures. The prints cost $108 plus any add-ons she wants to purchase. If she saves $18 per week, which solution represents how many weeks, x, it will take Harper before she can purchase her school pictures?

Answers

Answer:

It will take 6 weeks

Step-by-step explanation:

Weeks = x

$18x = $108

X = $108/$18

X = 6

So 6 weeks

The perimeter of a triangle is
17
x

5
units. One side is
3
x
+
5
units and another is
8
x

3
units. How many units long is the third side?

Answers

Answer:

i did'nt understand the question

Step-by-step explanation:

sorry

If you are dividing X and Y values, does the Y value go on the top or bottom?


This question will go in memory of Swordslayer123. Sword, I am sorry if I ever hurt you in life, but no matter what happens I will care about you. I hope you stay safe and have a great christmas. I will always remember you, and I will miss ya. You may be a pain, but you're a pain I care about :D

Answers

Slope is the rise over the run, the change in 'y' over the change in 'x', or the gradient of a line.

There are 3 directors, 4 management executives, 2 statisticians and 1 administrator. A committee of 4 members among them is to be formed. Find the probability that the committee consists of i) one of each kind III) one administrator and the other three III) at least one director
I need this answer Help me?

Answers

Answer:

1) 4/35

2) 11/14

3) 5/6

Step-by-step explanation:

First find the number of selections possible.

[tex]\frac{10!}{(10-4)!4!} = 210[/tex]

There are 210 possible selections. Now we can determine the possibility for each group. For the first probability, since we only want one member from each committee, you would create a fraction by (group members in total / group member being extracted). For this instance, since its only one, we will do whole numbers. Multiply each other.

[tex]4*3*2*1=24[/tex]

The probability for each member to get selected from each kind is : [tex]24/210[/tex] or can be simplified to [tex]4/35[/tex].

The probability of (I assume) at least one administrator is slightly different. Separate our two selections, the other three and the administrator. Find the number of selections possible for the other three... 4+3+2 = 9 others.

Find the probability for both a administrator included and three others.

[tex]\frac{11}{3} * \frac{1}{1} \\\frac{11!}{(11-3)!3!} \\\\165[/tex]

[tex]\frac{165}{210} = \frac{11}{14}[/tex]

The probability for an administrator and the other three is 165/210 or 11/14.

For the last one, you will figure out what the probability is for no director and use that % to substract from 100.

4+2+1 = 7

Get selections possible.

[tex]\frac{7!}{(7-4)!4!} = 35[/tex]

Get probability of no director.

[tex]\frac{35}{210} = \frac{1}{6}[/tex]

Substract 1/6 from 100%

1 - 1/6 = 5/6

The probability of having at least one director is 5/6.

what is the value of the expression below (81^2)^1/8

Answers

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{81^2=81\times81\rightarrow\bf{6,561}}[/tex]

[tex]\mathsf{(6,561)^{\dfrac{1}{8}}= \bf{3}}[/tex]

[tex]\boxed{\boxed{\mathsf{Therefore, your\ answer\ is: \boxed{\huge\textsf{\bf{C. 3}}}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer:

c

Step-by-step explanation:

because I said so " But rearle you cant start a sentence with because"

ok then, The answer is C because I said so

What is the slope of a line represented by 3x-14y=28

Answers

Answer:

3/14

Step-by-step explanation:

3x-14y=28

solve

add -3 both sides

3x−14y+−3x=28+−3x

−14y=−3x+28

divide both sides by -14

y= 3 /14 x−2

y=mx+b

so 3/14 is the slope

Solve (x + 3)2 - 5 = 0 using the quadratic formula.
A) x= 3 + 15 , x= 3 - 15
OB) x= 3
C) x= -3
ODx= -3 + 15x= -3 - 15

Answers

Answer:

x=−3±√5

Decimal Form:

x=−0.76393202…,−5.23606797

So D would be your answer

Step-by-step explanation:

5. The Spanish club sold churros as a fundraiser. The pretzels normally sold for $3.50, but near the end of the sale the price was reduced by 10%. What was the new price for a hot pretzel?​

Answers

$3.15 is the answer for the question
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