Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Consider the line y=5x -3

Answers

Answer 1

Answer:

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y=5x-3[/tex]

The general form of equation of line in slope-intercept form is written as:

[tex]y = mx+b[/tex]

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.

Comparing the given equation with the general form we get

m = 5

Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.

Let m1 be the slope of required line parallel to y=5x-3

Then m1=5

Putting in general form

[tex]y = m_1x+b[/tex]

[tex]y=5x+b[/tex]

To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.

The point is (-8,-3)

[tex]-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37[/tex]

Putting the value of b and m1, we get

[tex]y = 5x+37[/tex]

Hence,

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]


Related Questions

write the equation of the line in standard form passing through (2,-4) with a slope of -7​

Answers

Answer:

7x+Y=-2

Step-by-step explanation:

(y-y1)=m(x-x1)

(Y+4)=-7(x-2)

Y+4=-7x+2

Y+7x=2-4

7x+Y=-2

Please help i don’t really understand it

Answers

Answer:

vvvvvvvvvv

Step-by-step explanation:

~ Is a sign for similarity. This essentially means you can do rigid transformations to a shape to get the exact shape of another. You would need proportional sides and congruent angles for this to work. The shapes are not proportional so it is not similar.

Determining a Value of an Expression
Evaluate the expression
12 = 3y + y2y = 4 ) for y=3
f

Answers

Step-by-step explanation:

1/1=56÷£×€×^×/÷/€×€÷£÷88÷

Find the measure of angle J

Answers

Answer:

Step-by-step explanation:

Equals 23x

If the price of the early bird session is 2x - 3 and the price of the mid-morning session is 5x + 6, find an expression that represents difference in the price between the mid-morning session and the early bird session?

Answers

Apply distributive property
(5x+6)-(2x-3)
=5x+6-2x+3 arrange like terms
Simplify =5x-2x+6+3
Equals 3x+9 final answer

Five students in Mr. Roberts' class are gathering donations for a party. The amount each student has collected is below. Student Amount Stanley $25.24 Rebecca $24.06 Mary $25.27 Rolly $24.14 Sheryl $24.60 Use clustering around an average to estimate the total amount the students collected. A. $125.00 B. $275.00 C. $50.00 D. $230.00

Answers

Answer:

The answer should be A. $125.00

Step-by-step explanation:

I rounded and added them jajaja.

Álvaro y Daniela participaron en un juego por Internet. Álvaro se encontraba en Panamá y Daniela en Portugal. Álvaro comentó que el juego empezó un lunes a las 4:00 a. m. De Panamá y Daniela dijo que el juego terminó a las 4:00 a. m. De portugal, pero del martes.
La hora en Portugal está a 6hrs adelantada que la de Panamá.
¿cuántas horas duró el juego?

Answers

Answer: I don’t speak your languag ;-;

Step-by-step explanation:

Jeff has recorded the cost of insurance premiums on his car for a particular insurance company.

Daniel pays $1,150 per year for insurance premiums on his car. Whose unit rate is lower in terms of cost per year, and what is the rate?

Answers

Answer:

For 1 year Jeff pays $1200.

For 6 years he pays 7200 / 6 = 1200 per year.

For 9 years he pays 10800 / 9 = 1200 per year.

Jeff's unit rate is $1,200 per year.

Daniel pays $1,150 per year.

150 is less than 1200, so the answer would be:

A.  Daniel's unit rate is lower. It is $1,150 per year

PLEASE I NEED HELPP !!

Which situation leads to a unit cost of $8 per softball ticket?

A. $6 paid for 2 softball tickets

B. $6 paid for 6 softball tickets

C. 6 softball tickets for $24

D. 9 softball tickets for $72

Answers

Answer:

D 9 softball tickets for $72

Step-by-step explanation:

72/9=8

Answer:

The answer is D.

Step-by-step explanation:

You divide 72 by 9. Hope this helps!!! Please mark me brainliest and have a good rest of your day!!!

#13 Easton is planning on buying a new pair of cowboy boots. When he
went to Eastern Outfitters last week they costs $60 on the black Friday
sale. This week, they aren't on sale anymore and they cost $85. What is the
percent of change on the boots? *
O 25%
O 45%
O 55%
75%

Answers

It will be 25%

Step-by-step explanation:

write an equation in point slope form for the line that has a slope 1/3 and passes through (-2,8)

Answers

Answer:

y - 8 = 1/3 (x + 2)

Step-by-step explanation:

The equation y - 8 = 1/3 ( x + 2) has a slope form for the line that has a slope 1/3 and passes through (-2,8). The answer to the question is y - 8 = 1/3 (x + 2).

Hope this helps!

The equation of the line will be written as to y - 8 = 1/3 (x + 2).

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line has a slope 1/3 and passes through (-2,8). The equation of the line will be,

y - y₁ = m(x - x₁)

y - 8) = (1/3)(x + 2 )

Therefore, the ​equation of the line is equal to y - 8 = 1/3 (x + 2).

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ5

I WILL MARK BRAINIEST

Answers

Answer:

x=20

4=140

1=40

Step-by-step explanation:

7x=2×+100

5×=100

×=20

4=7(20)=140

1=180-140=40

Answer:

x=20

m<4=140

m<1=40

Step-by-step explanation:

to figure out angle 1 just subtract 140 from 180

Shannon is paid £1150 a month after deductions.

What is her net annual salary? (A year = 12 months)

Answers

Answer:

I think that answer is 13800

Step-by-step explanation:

5+5 100 points please help I'm in 8th grade and my teacher wants me to answer this

Answers

I don’t for sure but I tried

5+5=55

Hope this helped!

Use these methods to normalize the following group of data:
200, 300, 400, 600, 1000
a) min-max normalization by setting min = 0 and max = 1
b) z-score normalization
c) normalization by decimal scaling

Answers

Step-by-step explanation:

b is the answer , z-score normalization

Normalization is applied to data values in other to ensure that the data scales well, such that data values conforms to a certain range. The output of the various normalization techniques are given below ;

Given the data:

200, 300, 400, 600, 1000

1.)

Min - Max normalization :

[tex]\frac{value - min}{max - min} [/tex]

Min = minimum = 200

Max = maximum = 1000

Value = 200 :

[tex]\frac{200 - 200}{1000 - 200} = 0[/tex]

Value = 300 :

[tex]\frac{300 - 200}{1000 - 200} = 0.125[/tex]

Value = 400 :

[tex]\frac{400 - 200}{1000 - 200} = 0.25[/tex]

Value = 600 :

[tex]\frac{600 - 200}{1000 - 200} = 0.5[/tex]

Value = 1000 :

[tex]\frac{1000 - 200}{1000 - 200} = 1[/tex]

Normalized values = (0, 0.125, 0.25, 0.5, 1)

2.)

Zscore normalization :

[tex]\frac{value - μ}{σ} [/tex]

Using a calculator :

Mean, μ = 500Standard deviation = 316.227

Value = 200 :

[tex]\frac{200 - 500}{316.227} = -0.949[/tex]

Value = 300 :

[tex]\frac{300 - 500}{316.227} = -0.632[/tex]

Value = 400 :

[tex]\frac{400 - 500}{316.227} = -0.316[/tex]

Value = 600 :

[tex]\frac{600 - 500}{316.227} = 0.316[/tex]

Value = 1000 :

[tex]\frac{1000 - 500}{316.227} = 1.581[/tex]

Normalized values = (-0.949, -0.632, -0.316, 0.316, 1.581)

3.)

Decimal Scaling :

Maximum value = 1000

Hence, we can divide our values by 10000

200 / 10000 = 0.02

300/1000 = 0.03

400/1000 = 0.04

600/1000 = 0.06

1000/1000 = 0.1

Hence, the Normalized values (0.02, 0.03, 0.04, 0.06, 0.1)

Learn more : https://brainly.com/question/19132215

Can you help with the 2 that are not correct?

Answers

Answer:

MPO=MNO

NPO=MNP

Step-by-step explanation:

MPO=MNO because MPO opposite angles of a parallelogram are congruent.

MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.

NPO=MNP because they are alternate interior angles.  (If you don't understand what that means I can come back and explain it)

Which is the better buy?
3,805 pounds of cement for $266.35 or
5 tons of cement for $1,400.00

Answers

Answer:

3,805 pounds of cement for $266.35 is a better buy

Step-by-step explanation:

3,805 pounds of cement for $266.35

266.35 : 3,805= 0.07

check your work:  3,805 x 0.07 = 266.35

so for the first offer you will be paying $0.07 per pound

5 tons of cement for $1,400.00

1 ton = 2000 pounds

5 tons = 10000 pounds

1,400.00 : 10000 = 0.14

for the second offer you will be paying $0.14 per pound of cement. 3,805 pounds of cement for $266.35 is a better buy because you will be paying half of the price for each pound.

hope this helps!

a package of 5 pairs of insulated socks cost $34.95. what is the unit price of the pair of socks?

Answers

Answer:$6.99

Step-by-step explanation:

DO

$34.95/5=6.99

Answer:

$6.99

Step-by-step explanation:

you have to divide the 2 numbers above

I needs help, I’ll give brainliest !!

Answers

Answer:

(4,-5)

Step-by-step explanation:

Look at the subtraction expression below.

Which number line models this expression?
A.
B.
C.
D.

Answers

Answer:

A

Step-by-step explanation:

I took the quiz

Answer:

The Answer IS {A} just did the test!!

Step-by-step explanation:

A rectangle has a perimeter of 186 kilometres and a height of 37 kilometres. What is the
length of the base?​

Answers

Answer:

Step-by-step explanation:

Perimeter of rectangle=2(height+base)

Given perimeter=186km

Height=37 km

So 186=2(37+base)

93=37+base

Base=93-37=56 km

Write the first four terms of the sequence defined by the given rule: f(n)=n+4

Answers

Answer:

5, 6, 7, 8

Step-by-step explanation:

f(n) = n + 4

f(1) = 1 + 4 = 5

f(2) = 2 + 4 = 6

f(3) = 3 + 4 = 7

f(4) = 4 + 4 = 8

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. . How many blue marbles are in the bag

Answers

If goal to get white marble then 16 if goal to get blue marbles then its 84

BRAINLIEST APPERICATED :D
There are 84 blue marbles in the bag

A right triangle is shown below.



What is the value of x rounded to the nearest ten, if necessary?

Answers

8.5^2=4^2 + x^2

72.25=16 + x^2

56.25 = x^2

x= 7.5

Answer:

hmmmmm.... i'm only in 7th grade and to be honest i don't really know but i'll try on this. am i going to be doing this this year?

So from my logic in my empty  brain: 4.2?

Step-by-step explanation:

Because i flipped the pic around and so ,

First i got "x" in my brain and turned it into 9 from 8.5

then 9 divided by 8.5

wait a sec i just realized i made the most dumb mistake by dividing welp i'll just put out what i just fixed in my head and yea here ya go.

B+ for effort ?

Z- for iq?!   .-.?

PLEASE HELP ASAP I WILL GIVE BRAILY AND 25 POINTS... write an expression equivalent to 4x + 12 using the distributive property

Answers

Answer:4x + 12 = 2 ( 2x + 6)

 Step-by-step explanation:

Invalid data.
23. 6) Word Problem:
Bill makes $30.00 per day. He makes twice as much as Jack makes before
Jacks's salary was doubled. How much does Jack make now?
24. 7) A purchase of $0.73 is made by a customer. The customer hands you a $10.00 bill.
How much change should you give back?
25. 8) A customer buys 3 items at $0.25 each, 2 items at $0.55 each, and 1 other item for
$0.15. Assuming the tax rate on a dollar is 2%, how much will the total transaction be?
26. 9) How many nickels are there in a $2.00 roll?

Answers

Answer:

23.6) $30.00

24.7) $9.27

25.8) I'm not sure

26.9) 40 nickles

Step-by-step explanation:

Need help ASAP!!
What slope would make the lines perpendicular?
Y=1/2x+8
Y=[?]x+2

Answers

Answer:

-2

Step-by-step explanation:

Gradient of perpendicular lines is -1

so divide -1 by ½

u get -2

Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept

Answers

Answer:

m= 2

b= -2

-2x+2

Step-by-step explanation:

Hope that helps!

A box is formed by cutting squares from the corners of a rectangular piece of cardboard. The volume of the box is found by the equation V(h)=h(16-2h)(10-2h) where his a side of the square cutout. Which is the reasonable domain for this situation?

a. (0,5)
b. (0,10)
c. (0,8)
d. (0,infinity)

Answers

Answer:

A. (0, 5)

Step-by-step explanation:

Physically speaking, the volume of the box and the side of the square cutout are positive value. So that the following inequations must be satisfied:

[tex]h > 0[/tex] (1)

[tex]16-2\cdot h >0[/tex] (2)

[tex]10-2\cdot h > 0[/tex] (3)

From (1), (2), (3) we find that:

(1):

[tex]h > 0[/tex]

(2):

[tex]16 > 2\cdot h[/tex]

[tex]8 > h[/tex]

[tex]h < 8[/tex]

(3):

[tex]10 > 2\cdot h[/tex]

[tex]5 > h[/tex]

[tex]h < 5[/tex]

We see that equation above is the multiplication of a first grade monomial and two first grade binomials, which means that:

[tex]h > 0 \,\land\,h < 5\,\land\,h< 8[/tex]

[tex]0< h < 5[/tex]

In other words, the reasonable domain for this situation is A.

write an equation for the line that passes through (4,10) and is perpendicular to the line 6x-3y=5​

Answers

Answer:

[tex]y = - \frac{ 5}{3} x + ( - \frac{5}{3} )[/tex]

Step-by-step explanation:

-3y=5-6x

y=5-6x÷(-3)

y=(-5/3)+2x

y=2x-(5/3)

At y-intercept x is 0 and y is -(5/3)

Gradient m=10-(-5/3)÷(4-0)

=35/12

y=mx+c

10=(35/12)4+c

c=-(5/3)

Answer:

y =  [tex]-\frac{1}{2}[/tex]x + 12

Step-by-step explanation:

Given expressions:

           Coordinates = (4,10)

  Equation of the line;  6x - 3y = 5

Unknown:

Equation of the line perpendicular = ?

Solution:

 A line perpendicular to the given one will have a negative inverse slope.

  Equation of any given line is expressed as:

              y  = mx + c

y and x are the coordinates

 m is the slope

 c is the intercept

             Now; re-write 6x-3y = 5 in the form y= mx + c and find the slope;

   6x - 3y = 5

          -3y = 5- 6x

            y = [tex]-\frac{5}{3}[/tex] + 2x

The slope of a perpendicular line will be [tex]-\frac{1}{2}[/tex]

Also, let us find the y-intercept, c;

         y  = mx + c

         10 =  [tex]-\frac{1}{2}[/tex] x 4 + c

       10 = -2 + c

         c  = 12

The equation of the new line is ;

        y =  [tex]-\frac{1}{2}[/tex]x + 12

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