Write an equation of the line passing through point P(4,0) that is parallel to the line -x + 2y = 12.

Answers

Answer 1
arallel lines have the same slope
-x+2y=12
2y=x+12
y=(1/2)x+6
the slope is 1/2
using the point-slope form of a line...
y-y1=m(x-x1) where m is the slope and (x1,y1) is (4,0)
y-0=(1/2)(x-4)
y=(1/2)x-2 is the equation of the line
check: 0=(1/2)(4)-2
0=2-2
0=0
Answer 2
Answer: y= 1/2x-2
___________________
Explanation:

-x+2y=12
2y=12+x
divide both sides by 2
y= 6+ x/2
as they are parallel, therefore, their slopes are equal
hence,
put P(4;0) in the equation to find y intercept( y=kx+b, there b is y intercept)
0= 1/2 * 4+ b
b=-2
hence,
our equation is
y=1/2x-2
Hope it helps :)


Related Questions

The distance between A (-4, 2) and B(4, 2) is.

Answers

Answer:

8 spaces away

Step-by-step explanation:

hope this helped :-)


Which of them is true?

A. [ -18]< 6
B.[ -6] < [ -8]
C.[8]<[-6]
D.[-6] < -8 ​

Answers

the answer is A
positive > negative

Answer:

B. |-6| < |-8|

Step-by-step explanation:

The absolute value will always make the number positive. B is the only option in which (once absolute value is used) will make a true statement.

|-6| < |-8| = 6 < 8

( 6 is less than 8 )

Help me with this question

Answers

Answer:

A) SSS ( I think ) Not the best at these.

15x - 9 = -69 i need help :0 if i dont get this right the world could end

Answers

Answer:

x= -4

Step-by-step explanation:

you would first add the 9 to -69 to get -60 then you would divide -60by 15 to get -4

hope this helps

:)

Answer:

15x=-69+9

15x=-60

x=-60/15

x=-4

Step-by-step explanation:

pls answer fast (50 points)

Answers

Answer: c

Step-by-step explanation:

A. 52.50

B. 54.40

C. 51.00

D. 52.00

The resultant of the vectors a = 3i - 2j and b = pi - 2pj is parallel to the vector c = 2i - 3j.
a) Find the value of p
b) Find the resultant of vectors a and b.

Please help me with this question, thank you ​

Answers

Part (a)

The resultant vector is the vector formed by adding the two vectors a and b. So we effectively add the corresponding components.

You can use the parallelogram law as a visual alternative.

Adding a and b leads to

a+b = (3i-2j) + (pi-2pj)

a+b = (3i+pi) + (-2j-2pj)

a+b = (3+p)i - (2+2p)j

Define vector d to be d = a+b so we can use it later below.

Recall that parallel vectors point in the same direction. This means the ratio of their components or coordinates are equal.

We can say the following

(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)

(3+p)/(2) = (-(2+2p))/(-3)

Let's solve for p

(3+p)/(2) = (-(2+2p))/(-3)

(3+p)/(2) = (2+2p)/3

3(3+p) = 2(2+2p) .... cross multiply

9+3p = 4+4p

4p+4 = 3p+9

4p-3p = 9-4

p = 5

Answer:  p = 5

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

Part (b)

Since p = 5, from part (a), we can determine vector b

b = pi - 2pj

b = 5i - 2*5j

b = 5i - 10j

Then add vectors a and b to get

a+b = (3i-2j) + (5i - 10j)

a+b = (3i+5i) + (-2j - 10j)

a+b = (3+5)i - (2+10)j

a+b = 8i - 12j

Or we can say

a+b = (3+p)i - (2+2p)j  .... from part (a)

a+b = (3+5)i - (2+2*5)j ... plugging in p = 5

a+b = 8i - 12j

Note the ratio of the components of vector d and vector c are such

(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)

8/2 = -12/(-3)

4 = 4

This helps confirm the answer

You could also graph the vectors c = 2i - 3j and d = 8i - 12j to note the two lines produce the same slope -3/2. We can see that -12/8 = -3/2. Lines of the same slope are parallel lines

Answer:  8i - 12j

a.

The value of p is 5

Since vector a = 3i - 2j and vector b = pi - 2pj, the resultant of vectors a and b is R = a + b

= 3i - 2j + pi - 2pj

= (3 + p)i - 2(1 + p)j

Since R is aparallel to vector c = 2i - 3j, it implies that the cross product of R and c is zero.

The cross product of two vectors a and b is a × b = absinФ where a and b are the magnitudes of a and b and Ф is the angle between them.

So, R × c = [(3 + p)i - 2(1 + p)j] × [2i - 3j]

= (3 + p)i × 2i + (3 + p)i × (-3j) + (-2(1 + p)]j × 2i + (-2(1 + p)]j×(-3j)

= 0 - 3(3 + p)k - 4(1 + p)(-k) + 0

= -3(3 + p)k + 4(1 + p)k

= [-3(3 + p) + 4(1 + p)]k

= [-9 - 3p + 4 + 4p)]k

= [-9 + 4 - 3p + 4p)]k

=  [-5 + p]k

[-5 + p]k = RcsinФ.

Since R and c are parallel, Ф = 0°

So, Rcsin0° = Rc × 0 = 0

So,   [-5 + p]k = 0

-5 + p = 0

p = 5

The value of p is 5

b.

The resultant of vectors a and b is R = 8i - 12j

Since p = 5 and the resultant of vectors a and b is R = (3 + p)i - 2(1 + p)j

Substituting the value of p = 5 into r, we have

R = (3 + p)i - 2(1 + p)j

R = (3 + 5)i - 2(1 + 5)j

R = 8i - 2(6)j

R = 8i - 12j

So, the resultant of vectors a and b is R = 8i - 12j

Learn more about resultant of vectors here:

https://brainly.com/question/14358602

How much refund is due? Tax withheld $3578 and Tax due $2365.
A)$3,013
B)$1,213
C)$2,426
D)$5,943

Answers

B. Subtract both numbers to find the refund amount

Answer:

The answer is B) $1,213

Step-by-step explanation:

Just subtract $3578 and $2365 to get the amount of refund due, which would be your answer of $1,213.

help me plzzz ;-;" tysm

Answers

Answer:

172645 pounds all together

Step-by-step explanation:

Answer:

Maxie eats: 112420 p and Gracie 60225p 308 × 365 ; 165 × 365

Step-by-step explanation:

yw luv ;(

If a cotton candy vendor has 16 blue cones which is 50% of the total number of cones, then how many TOTAL cones does he have i need answers FAST like before the end of the week

Answers

Answer:

He has a total of 32 cones

Step-by-step explanation:

somebody please help

Answers

Answer:

729

Step-by-step explanation:

hope it helps

Answer: 27/2 = 13 1 2\

also 729

HELP WILL GIVE BRAINLIEST PLEASE

Answers

Answer:

Lin needs 3 cups of flour and 6 cups of sugar. Noah needs 6 cups of sugar and 4 cups of flour.

Step-by-step explanation:

I want you to figure out how to do.

Write the equation of the line that in slope-intercept form with the given point and slope or two points. (-4. 6); slope = -3/4

Answers

Answer:

y = -3/4x + 3

Step-by-step explanation:

6 = -3/4(-4) + b

3 = b

does anyone know what's on the flvs 5.06 dba for Mrs. sujeily Witherspoon....have dba at 11:15

Answers

I'd go back through the lesson and take notes of steps in the last pages they give the review of the lesson, help full and a time saver. other than that I would try to write down all definitions and words listed in the module, but if you want to have a complete list of every thing go to the home page and get the guided notes, you can fill them out when looking back at the lesson.

if you have a short time to gather notes just go through and right down what you can, you can always keep the glossary open when doing a DBA. hope anyone who see's this does well :)

sorry I couldn't help much i was unaware of the course you are taking

Williamston Daily is a new daily newspaper. When they first started printing three years ago they had 5900 home

delivery subscribers. The number of subscribers increases by 66 every month. Write an equation that expresses the

number of subscribers B in terms of n, the number of months the paper has been printed.

B = 5900n + 66

c. B = 66n + 5900

b. B = 198n + 5900

d. B = 66n + 3

Answers

Answer:

c

Step-by-step explanation:

Answer:c

Step-by-step explanation:

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Answers

Answer:-3/7
Use two points and then do y-y/x-x

Answer:

6. a) 7/3

7. b) Y=20/3(x)

Do the ratios 16 18 and 1 2 form a proportion?

Answers

Answer:

no they don't form a proportion

Step-by-step explanation:

16:18/2:2 = 8:9

8:9 and 1:2 are unequal

NOPE DAY DONT PROPORTION

How do you find slope? like...what's the equation? Cause nothing in my math class makes sense rn and finding the slope of things is the reason why

Answers

slope is y=mx+b

m=slope aka rise/run
b=base aka, where the line starts at

(4,-3) and (-1,-9) The Distance Between the two points in simplest radical form

Answers

Answer:

(5,6)

Step-by-step explanation:

so first yall

u find the difference between 4 and -1 which is 5 so u go 5 spaces right so it would be 5

then u find the difference between -3 and -9 which is 6 so ud go 6 spaces down so the difference between emmmm is

(5,6)

Andy divided his one-third jar of equally between 2 projects. What fraction of a jar of paint did Andy use for each project? Explain how to draw a model to find the answer.

Answers

Answer:

1/2 of the 1/3 jar of paint is used for each project

Step-by-step explanation:

What is the equation of the graphed polynomial below?
1
y = (-x + 2)2(-x + 3) 3
y = -(x + 2)2(x - 3)3
y = (x + 2)²(x - 3)2
y = (x - 2)*(x - 3)2

Answers

Answer:

D. y=(×-2)^3(×-3)^3

Step-by-step explanation:

the x and y axis interception

Which of the following results in the expression 0.22 x 86?

Answers

Answer:

18.92

Step-by-step explanation:

Im preatty sure this is right

Answer:

18.92

I multiplied 0.22 and 86

Read and understand the situation below, and make a complete plan to solve Mang Jose’s problem.

Mang Jose wants to paint the exterior of his house. He needs to know how many gallons of paint he would need. So, he asks his friend Juan to help him, according to Juan one (1) gallon of paint can cover an area of 250 square feet. Help Mang Jose prepare a budget for his project if his house exterior is 2700 square feet. Do a research on the different prices of one (1) gallon of paint depending on its brand name and choice of colors. Make a proposal budget for three (3) different colors of paint with its corresponding brand name.

Answers

Explanation:

Let's assume these are the different prices of one (1) gallon of paint for three different brand name and choice of colors:

1. Delux brand: Red = $19 per gallon

2. Golden sun: White = $15 per gallon

3. Luxury: Green = $20 per gallon.

Based on the data above, Mang Jose's budget could be drafted:

1. if he chooses the Delux brand/color red, then he will need approximately 11 gallons of the paint (2700/250 square fit) = 10.8, which would cost = $209 (11*$19).

2. if he chooses the Golden sun brand/color white then he will need approximately 11 gallons of paint  (2700/250 square fit) = 10.8, which would cost = $165 (11*$15).

3. if he chooses the Luxury brand/color green then he will need approximately 11 gallons of paint  (2700/250 square fit) = 10.8, which would cost = $220 (11*$20).

Based on the work shown to the left, which of
these values are possible solutions of the
equation? Check all of the boxes that apply.

Answers

Answer:

sorry i cant answer without the picture it wont make sense.

Answer:

A, D

Step-by-step explanation:

edge 2021

19 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio of new books to used books

Answers

Answer:

1:8

Step-by-step explanation:

You subtract 19 and 8, and you get 11 then you put them in ration form

Step-by-step explanation:

Britney is buying a shirt and a hat at the mall. The shirt costs $31.95, and the hat costs $19.45. If Britney gives the sales clerk $100.00, how much change should she receive? (Ignore sales tax.)

Answers

She will get back 48.60

Answer:

$46.10

Step-by-step explanation:

Which equation represents a line which is parallel to the line 3x + 8y = - 40 ?

Answers

I am not really sure that this is the right answer
It’s just an attempt

On the coloring sheet, thd a ratio
is equivalent to 3/10.

Answers

Answer:

Equivalent ratios:

3 : 10   6 : 20   9 : 30   12 : 40   15 : 50   18 : 60   21 : 70   24 : 80   27 : 90   30 : 100   33 : 110   36 : 120   39 : 130   42 : 140   45 : 150   48 : 160   51 : 170   54 : 180   57 : 190   60 : 200   63 : 210   66 : 220   69 : 230   72 : 240   75 : 250   78 : 260   81 : 270   84 : 280   87 : 290   90 : 300

( Brainlyst will help my rank <3 )

HELP LOL i have no idea it might be just me

Answers

Answer:

Step-by-step explanation:c

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The $35 is the starting value and the .6 is the rate of change

What is the y-intercept of the function y = 3x + 33 ?

Answers

Answer:

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Step-by-step explanation:

Answer:

it is 33 because you start off at 0 with 33

Step-by-step explanation:

 A police car drives 230 km in 2 1/2 hours. What is its average speed in kilometers per hour?​

Answers

Answer:

92 km/h

Step-by-step explanation:

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