Mathematics College

Find a parametric equation for the line through the point (-8,10,0) and perpendicular to the plane 7x+5y + 5z=6 which is written using the coordinates of the given point and the
coefficients of x, y, and z in the given equation of the plane.
Let z=5t

Answers

Answer 1

The provided equation of the plane contains 60 as the x, y, and z coefficients.

What is the formula for a line that passes through a point and is perpendicular to a plane?

The mathematical formula for the line that is parallel to the given plane and passes through the specified point. N is equal to s, which is equal to ai, bj, and ck.

The line's parametric equations are x = x0 + at, y = y0 + bt, and z = z0 + ct, which are obtained by formulating the line's vector equation in terms of its components. The direction numbers of the line are known as the components a, b, and c.

Initially, by solving for y, convert the provided line's equation into slope-intercept form. You obtain y = -2x+5, meaning that the slope is 2. We wish to find the slope of the line, which is 1/2 because perpendicular lines have opposite-reciprocal slopes.

7*-8 + 5*10 + 5*0 = 6

-56 + 50 + 0 = 6

-6 = 6

= 12.

Z = 5*12 = 60.

To learn more about parametric equations refer to:

brainly.com/question/27247899

#SPJ1

Related Questions

Write an equation of the line in slope-intercept form.
2
у
2
(2, 2)
-2
2
4 x
(0, - 2)
2
y =
l

Answers

the equation in slope-intercept form is y=2x-2

I need helppp picture is provided

Answers

Answer:
A

Because it is 6.16


a $5 bill is exchanged for 72 coins having a total calue.of $5. Some of the coins are nickels and the rest are dimes. How many dimes are in the exchange?

Answers

Hi there!

Ok so we know that every nickel is €5 and every dime is €10...

Let think...

If it is 30 nickels it would be 150 cents and would also be 1.50$...

Now we know that there is 42 dimes left.. let see if it can be equaled.

[tex]42[/tex]·[tex]10=4.62[/tex]

Adding both together would be 6.12 and it’s more than 5$ so this means that the nickels must be more.

Now let think again.. if it would be 44 nickels then the rest for 5.00 would be 2.20 and 72 subtract by 44 is 28. 28 multiply by 10 is perfectly 2.80.. now let check...

[tex]44[/tex]·[tex]5=2.20[/tex]

[tex]72-44=28[/tex]

[tex]28[/tex]·[tex]10=2.80[/tex]

[tex]2.20+2.80=5.00[/tex]

Therefore, the total of dimes would be 28...

What is 7 miles per hour in feet per minute? [Round if necessary.]

Answers

Answer:

616 feet per minute

Step-by-step explanation:

7 miles=7(5280)=36,960 feet per hour

36,960/60=616 feet per minute

PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!!!!!!!!
here are some screenshots to help figure out the area of the figure!
thank you in advance!

Answers

Answer:

The area is 13

Step-by-step explanation:

By using the third picture you sent I figured out the area of both the triangle (area: 3) and the square (area: 4) and subtracted that from the area of the whole figure (20) to get the area of the shape.

Pls help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

$8.65

Step-by-step explanation:

1.25+4.75+2.50=8.5

8.5+0.056(5.6%)=8.65

1/8 x a number equals 2

Answers

Answer:

The number should be 16.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

1/8 * x = 2

x = 16

Home work
Give (2) advantages and
disadvantages of modern
and traditional Kitchen​

Answers

Answer:

modern kitchen=sandwich,Chinese food etc.

traditional kitchen = roti,sabji indian food etc.

Is the relation a function ?

Answers

I would say no but sorry if I’m wrong

A box contains 12 cereal bars. The empty box weighs 1.75 oz. The box
and the bars weigh 18.55 oz. What is the weight of each cereal bar?

Answers

Answer:

Step-by-step explanation:

Answer: the answer is 6.25

Step-by-step explanation:

I have to turn this in at 5:00 pls help!!!

Answers

It would be 2/5

There’s 12 bass fish and 30 fish overall

Which equals:
12/30

And then if you simplify 12/30 you get 2/5

Look at the graph below: First line joins ordered pairs negative 4, 3 and 2, negative 3. Second line joins negative 4, negative 3 and 2, 3. Part A shaded above first and second line. Part B shaded below first line and above second line. Part C shaded below first and second lines. Part D shaded above first line and below second line. Which part of the graph best represents the solution set to the system of inequalities y ≥ x + 1 and y + x ≤ −1? (5 points) Question 10 options: 1) Part A 2) Part B 3) Part C 4) Part D

Answers

Answer:

It's Part B

Step-by-step explanation:

Got it right!

write a linear function in slope intercept form only that corresponds with this table​

Answers

y = 3x + 1

Because,
slope intercept form is y=mx+b
Where y is the y values, m is slope, x is x values, and b is y-intercept

First, to find the slope use rise/run, so rise (from 10 to 13) is 3 and run is (from 3 to 4) is 1, 3/1=3

Next to find y-intercept plug in the slope and some x and y values,
10=3(3)+b
10=9+b
1=b
So then the equation is y=3x+1 you can check by plugging stuff in and also I graphed it so I’ll add a picture

This is my first time answering questions so if I got something wrong ask or something hope this helps :)

10 pontos
10 points
4. What is the area of the composite figure?
6 cm
9 cm
L
2 cm
10 cm
A. 58 cm
O B. 68 cm
C. 88 cm
D. 48 cm

Answers

Answer:

hope it helped have a good day mate

Mrs Andrew's pays $125. For a hair cut. If she gives a 25% tip, how much will she pay

Answers

Answer:

$156.25

Step-by-step explanation:

25% of 125 is 31.25. So 125+31.25 is 156.25.

Write each mixed number as a percent.

1. 1 4/5

Answers

Answer:

180%

Step-by-step explanation:

Problem 5

Each of the following statements regarding the transformation of the function
y=f(x)
is false.

State what is wrong in the statement and provide the correction that would make the statement true. For example, “The sun is a planet.” is a false statement. One possible correct answer is: “Mistake: The sun is not a planet. Correction: The sun is a star.”


Part a)

When graphing the function
y=f(x+3)
, all of the
x
values would be shifted to the right by 3 because the transformation is a shift right by 3 units.


Part b)

When graphing the function
y=−f(x)
, there is a reflection over the
y
-axis.


Part c)

When graphing the function
y=2f(x)
, all of the
y
values would be multiplied by
12
because the transformation is a vertical compression by a factor of 2.

Answers

Answer:

Part A

When graphing the function y = f(x+3), all of the x values would be shifted to the right by 3 because the transformation is a shift right by 3 units.

Mistake: This is not a shift rightCorrection: ... all of the x values would be shifted to the left by 3 because the transformation is a shift left by 3 unitsPart B  

When graphing the function y=−f(x), there is a reflection over the y-axis

Mistake: This is not a reflection over the y-axisCorrection: ...there is a reflection over the x-axisPart C

When graphing the function y=2f(x), all of the y-values would be multiplied by 2 because the transformation is a vertical compression by a factor of 2.

Mistake: This is not a vertical compressionCorrection: ... a horizontal compression by a factor of 2

Note: "multiplied by 12" considered as typo otherwise this is to be included as correction

Answer:

the answer is A When graphing the function

y=f(x+3)

, all of the

x

values would be shifted to the right by 3 because the transformation is a shift right by 3 units.

Cruz is the editor of a magazine.
The magazine has 40 pages.

The magazine must have:
20% of the pages for adverts
1/4 of the pages for photos
the remaining pages for articles.

Work out the number of pages for articles in the magazine.
Show your working out.

Answers

Answer:

22

Step-by-step explanation:

20% * 40 = 20 / 100 * 40 = 800 / 100 = 8

1/4 * 40 = 40 / 4 = 10

So far we have use 8 + 10 = 18

There are 40 - 18 pages left

articles = 22

I WILL GIVE BRAINLIEST solve the question below

Answers

Answer:

[tex]J' = (-2,-4)[/tex]

Step-by-step explanation:

Given

The attached figure

[tex]J = (-3,-6)[/tex]

[tex]D_{o,\frac{2}{3}}(x,y)[/tex]

Required: Determine J'

The given transformation: [tex]D_{o,\frac{2}{3}}(x,y)[/tex] means that the quadrilateral is dilated by a scale factor or 2/3.

So, J' is calculated as:

[tex]J' = \frac{2}{3} * J[/tex]

[tex]J' = \frac{2}{3} * (-3,-6)[/tex]

[tex]J' = (\frac{2}{3} * -3,\frac{2}{3} * -6)[/tex]

[tex]J' = (2*-1,2*-2)[/tex]

[tex]J' = (-2,-4)[/tex]

Hence, J' = (-2,-4)

Help ya girl out plsss

Answers

Answer: Scalane acute

Step-by-step explanation:

Answer:

Equilateral Acute.

Step-by-step explanation:

A triangle with 3 congruent angles is an equalateral triangle and all sides are acute


[tex](2y{}^{3}) {}^{2} [/tex]
answer:2y6​

Answers

Ce clasă ești sa văd daca te pot ajuta

If your car gets 25 miles per gallon, how much does it cost to drive 410 miles when gasoline costs $3.40 per gallon?
The cost is $
(Simplify your answer. Round to the nearest cent as needed.)

Answers

Answer:

Step-by-step explanation:

410/25 = 16.4 gallons of gas

16.4*$3.40 = $55.76

select two choices that are equivalent to 5v-12v+3v=

Answers

Answer:4v

Step-by-step explanation:

2+2
uhhh help plzzzzzz

Answers

Answer:

6

Step-by-step explanation:

4

May someone please help me out with this? Look at the image above. How do I do this? May someone help me out please

Answers

Answer:

u = 9

Step-by-step explanation:

angle c and a are congruent so take the 2 angles and turn them into an equation

u + 99 = 12u

subtract 1u from both sides, you're left with 99 = 11u

now, divide each side by 11

now you'll get the value of u which is 9 (u = 9)

since 99/11 is 9 that's the value of u.

What is the length of the unknown side?
16
12
A 14 units
B) 20 units
C 28 units
D) 200 units

Answers

Answer:

B)20 Units is the answer for it

The circumference of a circle is _______

A. the length of the radius
B. the distance around the circle
C. the length of the diameter
D. 270​

Answers

Answer:

B. the distance around the circle

Step-by-step explanation:

To easily answer this question, take a closer look at the given answer choices.

A says, "the length of the radius." Don't let the extra words trick you! This answer choice is just describing a radius. The term, "the length of--" is just there to trick you and to make you overthink. This answer choice is not correct because a radius =/= a circumference.

C says, "the length of the diameter." This is the exact same trick in choice A. Once you ignore the term, "the length off," you see that this answer choice is just describing a diameter. This answer is also incorrect because a diameter =/= a circumference.

D just says "270." This answer choice should not be considered, as there's no numbers involved in the question. The question is just looking for the definition of a circumference. Continually, not every circle's circumference is going to be 270. For these reasons, D is also an incorrect choice.

This leaves answer choice B. After eliminating the other answers, B becomes the remaining and correct choice. "The distance around the circle," is the only and correct definition of a circumference!

Answer:

Solution :

B

Know More :

The length of radius is not known as circumference.

Circumference or perimeter is same.

Area of circle = πr²

Perimeter of circle = 2πr

[tex] \\ [/tex]

Let f(x) = 3x^2+5, g(x)=3x-4. Find the following value or expression
(F*g)(x)=

Answers

Answer:

(f οg )(x) = 27 x² -36 x + 53

Step-by-step explanation:

Explanation:-

Given the function f(x) = 3 x² +5 and g(x) = 3x-4

(f οg )(x) = f(g(x)

             = f(3x-4)

             = 3 ( 3x-4)² +5  ( ∵  f(x) = 3 x² +5)

            =  3 ( 9 x² - 2(3x)(4)+(4)²) +5

           = 3 ( 9 x² -12 x + 16) +5

          = 27 x² -36 x + 48 +5

         = 27 x² -36 x + 53

Final answer:-

(f οg )(x) = 27 x² -36 x + 53

How do you do the last couple of questions?

Answers

Answer:

SANAOL COMPUTER

Step-by-step explanation:

SORRY DI KO PO ALAM EHH

What is the least common denominator for 1/3 and 3/4? please I need this quickly​

Answers

Answer:

12

Step-by-step explanation:

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