Consider the line y=-3x+3.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5).

Equation of parallel line:
ロ=ロ
3
Equation of perpendicular line:

Answers

Answer 1

Answer:

[tex]y= 3x+17; y= -\frac13x +\frac{11}3[/tex]

Step-by-step explanation:

First problem. If you want a parallel to a given line, you keep the slope.

Then we use the point-slope form of a line

[tex]y-y_0=m(x-x_0)[/tex] and we plug in there everything we need.

[tex]y-5=3(x+4) \rightarrow y=3x+12+5\\y=3x+17[/tex]

The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.

[tex]3\cdot m = -1 \rightarrow m=-\frac13[/tex]

At this point we have everything, let's replace and write down the line in a better looking form

[tex]y-5=-\frac13(x+4) \rightarrow y= -\frac13 x -\frac43 +5\\y= -\frac13x -\frac43 +\frac{15}3 \rightarrow y= -\frac13x +\frac{11}3[/tex]


Related Questions

What is the value of x?

Answers

Answer:

the answer is D

Step-by-step explanation:

75 plus 37 is 112 and 180 minus 112 is 68

Answer:

the value of x is 88

Step-by-step explanation:

PLZ ANSWER QUICK. WILL GIVE BRAINLY. NO EXPLANATION NEEDED.

Answers

Answer:

None of these are correct

Step-by-step explanation:

XZ = XY + YZ = 48 + 50 = 98

The value of x varies directly with y, and when x=1/3,y=5

Answers

Answer: y = 36x

Step-by-step explanation: Given that x and y vary directly then the equation relating the is

y = kx ← k is the constant of variation

To find k use the condition x = , y = 12, then

k =  =  = 12 × 3 = 36

y = 36x ← equation of variation

Identify the slope and y-intercept of the
equation 2x + 5y = 20

Answers

Answer:

Slope = - ⅖

Y-intercept = (0, 4), where b = 4

Step-by-step explanation:

Given the linear equation in standard form, 2x + 5y = 20, where A = 2, B = 5, and C = 20:

Start by transforming the standard equation into its slope-intercept form, y = mx + b, where m = slope, and b = y-intercept.

Subtract 2x from both sides:

2x -2x + 5y = - 2x + 20

5y = -2x + 20

Divide both sides by 5 to isolate y:

[tex]\frac{5y}{5} = \frac{-2x + 20}{5}[/tex]

y = - ⅖x + 4 ⇒ This is the slope-intercept form where the slope, m = -⅖, and the y-intercept, b = 4.  The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). The y-coordinate is the value of b in the slope-intercept form. Therefore, the y-intercept is (0, 4).

what is the place value of 2 in 842567​

Answers

Answer:

842567

the answer is thousands

7 is ones

6 is tens

5 is hundreth

2 is thousands

4 is ten thousands

8 is hundred thousands

Hope This Helps!!!

what is the answer? HELP MEEE

Answers

Answer: 126

Step-by-step explanation:

11+5=16

Step-by-step explanation:

square root of 121 is 11 and cube root of 125 is 5 i.e

11^2=121 and 5^3=125

Questions. [Factorial]

3 + (2! × 2!) = ...... ​

Answers

[tex]\\ \sf\longmapsto 3+2!2![/tex]

[tex]\\ \sf\longmapsto 3+2(2)[/tex]

[tex]\\ \sf\longmapsto 3+4[/tex]

[tex]\\ \sf\longmapsto 7[/tex]

[tex] \: \: \: \: \: [/tex]

[tex]⟹7[/tex]

Step-by-step explanation:

[tex]3 + (2! \times 2!)[/tex]

calculate the factorial

[tex]3 + (2 \times 2)[/tex]

multiply the number

[tex]3 + 4[/tex]

add the numbers

[tex]⟹7[/tex]

hope it helps

[tex] \: \: \: \: \: \: \: [/tex]

the atomic number of arsenic is 33. what is the electron configuration of an arsenic atom

Answers

1s^2 2s^2 2p^6 3s^2 3p^6 3d^10 4s^2 4p^3

Whoever tell me if they had a nice day first I’ll give the brainlyest or however you spell it

Answers

Answer:

hello!

Step-by-step explanation:

i had a nice day i hope you did too :)

The second of three numbers is 8 more than the first,
and the third number is 3 less than 3 times the first.
If the third number is 15 more than the second, find
the three numbers.
1st___
2nd___
3rd___

Answers

Answer:

1st =  13

2nd = 21

3rd = 36

Step-by-step explanation:

Let the first number be

f

The second of three numbers is 8 more than the first,

f + 8

third number is 3 less than 3 times the first.

3f - 3

---------------------------

the third number is 15 more than the second,

3f - 3 = (f + 8) + 15

3f - 3 = f + 23

Subtract f from both sides

2f - 3 = 23

add 3 to both sides

2f = 26

Divide both sides by 2

f = 13

f + 8 = 13 + 8 = 21

3f - 3 = 3(13) - 3 = 36

Find the distance between the points

a. 3
b. 4
c. 5
d. 6

Answers

Answer:

B. 4

Step-by-step explanation:

What is an equation of the line that passes through the points (6, -3) and
(-6, -5)?

Answers

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, (6,-3) and (-6,-5).  Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (-6,-5) and going to (6,-3):

Rise = (-3 - (-5)) = +2

Run = (6 - (-6)) = 12

Rise/Run (slope) = 2/12 or 1/6

The equation becomes y = (1/6)x + b

We can find b by enterieng either of the two given points and solving for b.  I'll pick (6,-3):

y = (1/6)x + b

-3 = (1/6)*(6) + b

-3 = 1 + b             [Now you can see why I chose (6,-3)]

b = -4

The equation is y = (1/6)x - 4

Check this with a DESMOS graph (attached).

what is the value of x in the figure shown

Answers

Answer:

x = 66

Step-by-step explanation:

Have a nice day

How many pounds is a pepper?
I really need to know.

Answers

Answer:

4-5 ounces or 113-142 grams

Step-by-step explanation:

help will give brainliest

Answers

Answer:

The bar for Spain is between 0 and 50 billion, but is slightly closer to 0 than to 50 so the value will be 20 billion dollars.

what is the correct way to label the entire line segment shown​

Answers

Answer:Yea looks like you have it already C

Step-by-step explanation:

The Lone Star Shipping Company charges $14 plus $2 per pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 per pound to ship an overnight package. What is the point where these two companies will be the same amount and what does it mean?

Answers

Answer:

each company will earn $38 when they ship a 12-pound package

Step-by-step explanation:

you can solve this algebraically by setting up two equations:

let 'c' = charges per pound

Lone Star:  y = 2c + 14

Discount:  y = 1.5c + 20

now set each equation equal to the other to solve for 'c':

2c + 14 = 1.5c + 20

subtract 14 from each side to get:

2c = 1.5c + 6

subtract 1.5c from each side to get:

0.5c = 6

c = 6/0.5

c = 12

if you plug 12 in for 'c' in each equation you will get y = 38

(12,38) is the point where these two companies would each earn $38 for shipping a 12-pound package

A snail moves through a garden and travles 1 1/8 meters in 1 1/2 minutes. What is the snail's rate in minutes per meter? Show your work

Answers

Answer:

4/3mpm

Step-by-step explanation:

(1 1/2)/(1 1/8)

convert to improper fraction

(3/2)/(9/8)

solve

1/(3/4)

4/3

HELP PLEASE !!!

Which angles are congruent
if RI ≅ IT, what angles are congruent? 1, 2, or 3?
*THERE SHOULD BE 2 ANSWERS*

Answers

the answer is 32 because it as shown it has 23 and 67

the angle 1 and 3 are congruey

I need help with this question

Answers

The answer is in the picture.

Brainliest would be appreciated.

the answer is 0 see the picture below to prove my answer thankyou :)

I NEED THE ANSWER ASAP. IM BEING TIMED

The following information is known about a savings account.
Time = 6 years
Interest rate = 1.9%
Principal = $850
What amount of total interest will be earned at the end of year 6?

Answers

Answer:

96.90

Step-by-step explanation:

I = PRT

T = 6

P = 850

I = 1.9% = 0.019

I = (850)(0.019)(6) = 96.90 <==

Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing two hours later

Answers

25 x 2 = 50

60 x 2 = 120

120 + 50 = 170

So they have travelled 170 miles apart from one another.

or 170 mi/h

please help 100 pnts brainlist

Answers

Answer:

The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr

Step-by-step explanation:

We are given i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.  

We first solve i = prt for p.  To accomplish this, divide both sides by rt, which results in:

 i         p

----- = -----

 rt        1

Here we substitute $14,400 for p, 0.08 for r and 30 for t.  

We get the following expression for p:

       $14,400

p = ----------------- = $6,000

       (0.08)(30)

The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr

Answer:

6000

Step-by-step explanation:

14,400= .08 x 30 x p , .08 x 30 = 2.4, so divide 14,400 by 2.4 and you get 6000

Josh purchased a DVD for $10.80, before taxes. The price was after a 25% discount. What was the original price of the DVD?

Answers

Answer:

$

2.70

Step-by-step explanation:

-5(2x -3) + 4x = - 3x + 6

Answers

We have -5(2x-3) + 4x = -3x + 6
<=> -10x + 15 + 4x = -3x + 6
<=> -10x + 4x + 3x = 6 - 15
<=> -3x = -9
<=> x = 3

Ok done. Thank to me:>

The prices of items in a shop were reduced by 10% during reduction sales. if a costumer buys an electric fan at $810.00. What was the original price?​

Answers

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve the problem in 2 steps, one being Solving, and the second being Comprehending. I'll start with comprehending.

Comprehending

We can start by analyzing the problem and creating an equation to then begin solving.

So, we know that a number, which we will call [tex]x[/tex] has a discount of 10% to get the current price of $810. We know that when there is a discount, we need to find what the 10 percent is then add it to the current price;$810.

We can create a formula and steps by doing the following:

[tex]x*0.9=810[/tex]

We have 0.9 as there is a 10% discount (0.1) and we subtract 1.00 by 0.1 to get 0.9. (Which is 90%).

This states that 90% of a number is equal to 810.

Now that we have an equation, we can begin solving.

Solving

We can solve the problem by using basic algebra.

[tex]x*0.9=810\\x*\frac{9}{10}=810\\x=(810*10)\div 9\\x=8100 \div 9\\x=900[/tex]

On step 1, we convert the decimal to a fraction for easy simplification/solving.

On step 2, we split the fraction into two and since we're dividing, we can flip the fraction and multiply by 10 and divide by 9.

On step 3, we use basic algebra and after step 4 we get our answer.

We can double check out answer by doing the following:

[tex]900-(900*0.10)=810?\\900-90=810?\\810=810[/tex]

We have checked our answer and gotten our answer of $900.

Cheers!

10-(-x)=-5
How do I find out what x is

Answers

Answer:

x=-15

Step-by-step explanation:

10-(-x)=-5

10+x=-5

x=-5-10

Answer:

x = -15

Step-by-step explanation:

A negative times a negative equals a positive, so it's just positive x. After that, isolate the variable.

please help me:((( i need help!

Answers

Answer:

Step-by-step explanation:

96 for 1st triangle and 128 for he 2nd triangle....hope this helps!

this got me confused but can somebody please tell me what the answer is to: 7(2x - 3) = 14x + 7​

Answers

Answer:

14x-21=14x +7

x cancels all out which leaves with just

28

Answer:

There is no x that satisfies the condition.

Step-by-step explanation:

7(2x - 3) = 14x + 7

14x - 21 = 14x + 7

-21 = 7

contradiction

A card game has 50 cards. After dealing 7 cards to each player, Tupi has 15 cards left over. Solve the equation 50 7p = 15 to find the number of players.

Answers

5 players
50-15=35
35/7=5
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