Write the equation of the line perpendicular to y=4x+2 and passes though the point (1,1).

Answers

Answer 1

Answer:y=-1/4x+5/4

Step-by-step explanation:

Perpendicular means the slope has to be the negative reciprocal.

Since the slope is currently 4, the perpendicular slope is -1/4.

It also has to pass through the point 1,1 , so you just plug x in which will be

1*-1/4=-1/4. from 1 to -1/4, its 5/4, so that's your b in y = mx+b

The equation will then be y=-1/4x+5/4


Related Questions

g(x) = 182 What is the domain of g?​

Answers

Answer:

i tryed ;-;..

Step-by-step explanation:

Justin ate 3/5 of a box of raisins.
His sister then ate of the 1/4 of the raisins
left in the box. What fraction of the
box of raisins did Justin's sister eat?

Answers

Answer:

3/20

Step-by-step explanation:

Joe walks 9.5 inches every second what is the first step of finding mph?

Answers

Answer:

finding how many inches he goes in an hour (multiply by 3600)

Step-by-step explanation:

write the ratio 3 differnt ways AND give 3 equivalent ratios. five horses to seven dogs​

Answers

Answer:

Three different ways to write the ratio"5 to 7    5:7      5/7"   Three equivalent rations" 10:14     15 :21       20:28

Step-by-step explanation:

At the carnival the ratio of rides to games was 9:8. For every ___games there are ___rides.

A.8 games, 17 rides
B.8 games, 9 rides
C.9 games, 17 rides
D.9 games, 8 rides

Answers

Answer:

The answer is B.8 games,9 rides

I need help with this ASAP!!!! There is an image that I need help with, it’s really easy I’m just really stupid lol

Answers

Answer:

d

Step-by-step explanation:

parallel lines NEVER touch

a- b for
for a= (-7) and b = 30

Answers

Answer:

-37

Step-by-step explanation:

-7-30

=-37

You are adding the negatives therefore, you will get a larger number of negatives.

Answer = -37

you would have to plug the numbers given.

“A” would now be (-7) “B” would now be (30) = (-7)-30 = -37

reason it equals a negative is because a positive & a negative = a negative

1.4142 / 2 (must show work)

Answers

Answer:

2.378

Step-by-step explanation:

Image included this problem requires no work pls help 20 POINTS

Answers

Answer:

The slope is 2 and the y-intercept is -2. a)

Step-by-step explanation:

Hope this helps!!!!!

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 77 feet per second. The elevator for the miners descends 1313 feet per second. One​ day, the equipment elevator begins to descend. After 2929 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 1616 ​seconds? At that​ time, which elevator is​ deeper?

Answers

Answer:

The position of the equipment elevator is 315 feet deep.

The position of the elevator of the miners is 208 feet deep.

At that time, the equipment elevator is deeper.

Step-by-step explanation:

Observation: Seems the numbers are doubled. 77 instead of 7; 1313 instead of 13; 2929 instead of 29; and 1616 instead of 16.

Hence, the question is:

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 7 feet per second. The elevator for the miners descends 13 feet per second. One​ day, the equipment elevator begins to descend. After 29 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 16 ​seconds? At that​ time, which elevator is​ deeper?

Step-by-step explanation:

From the question,

For the equipment elevator

Speed= 7 feet/second

For the elevator of the miners,

Speed= 13 feet/second

To determine the positions of each elevator relative to the surface, we will determine the distance each of the elevator descends.

From the formula

Speed= Distance / Time

Then,

Distance = Speed × Time

From the question,

The equipment elevator begins to descend and after 29 ​seconds, the elevator for the miners begins to descend. To determine the position of each elevator after another 16 ​seconds. That is, the equipment elevator descends for a total of (29+16) seconds and the elevator of the miners descends for 16 seconds.

For the equipment elevator

Speed= 7 feet/second

Time = 29 + 16 seconds = 45 seconds

From,  Distance = Speed × Time

∴ Distance = 7 feet/second × 45 seconds

Distance = 315 feet

Hence, the position of the equipment elevator is 315 feet deep.

For the elevator of the miners

Speed = 13 feet/second

Time = 16 seconds

Distance = Speed × Time

∴ Distance = 13 feet/second × 16 seconds

Distance = 208 feet

Hence, the position of the elevator of the miners is 208 feet deep.

At that time the equipment elevator is deeper.

74% is equivalent to what fraction in reduced terms?

Answers

Answer:

Step-by-step explanation:

74/100 or 37/50

Im not sure but I think 37/50

Cherries are on sale at the grocery store at a price of $5 for 2 pounds. Oscar buys 3
pounds. If he is charged the sale price for the cherries, how much will Oscar pay?

Answers

Answer:

$7.5 = 3 pounds

Step-by-step explanation:

1. If $5 is equal to 2 pounds of cherries, you want to find what 1 pound of cherries cost. You should divided 5 by 2 and 2 by 2 to find what 1 pound of cherries cot.

2. That means that 1 pound of cherries cost $2.5.

3. Now we want to find how much money 3 pounds cost, so you should multiply the 2.5 and the 1 by 3.

4. Now that gets you to $7.5 for 3 pounds of cherries.s

Choose the value that breaks this gem into 10 equal pieces

Answers

Answer:

25 percent

Step-by-step explanation:

cuz am smart

It would have to be 20 or 10 I think

What is the equation in point-slope form of the line that passes through the point (-4, 5) and has a slope of 23?

Answers

Answer:

The answer is

[tex] \huge y - 5 = 23(x + 4) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the points are (-4, 5) and a slope of 23

We have the final answer as

[tex]y - 5= 23(x + 4)[/tex]

Hope this helps you

Answer:

hi how r u

Step-by-step explanation:

what does The cube of the sum of a number and 8 look like

Answers

Answer:

x+y = 8

x3 + y3 = 20 ...this system represents the given statements.

 

Use the factoring rule for sum of cubes:

(x+y)(x2+xy+y2) = 20. By substituting for the linear factor, you get

 

8(x2+xy+y2) = 20   or   2(x2+xy+y2) = 5.

 

Now substitute for y; y = 8-x and you will have a (maybe not so nice) quadratic equation in x, which you can solve by Quadratic Formula (if factoring isn't obvious).

 

you get to finish this job.

Step-by-step explanation:

Brainleist would be appreciative

what fraction of 1 year is 8 months?

Answers

Answer:

8/12

Step-by-step explanation:

Simplified = 2/3

Answer:

2/3

Step-by-step explanation:

1. 1 year is 12 months.

2. Divide 8 with 12.

8/12 = 2/3

3. The fraction would be 8/12, but simplified would be 2/3.

Hope this helped!

how much is 10% of 10 leters of milk

Answers

Answer:100%

Step-by-step explanation:

Answer: 100%

Step-by-step explanation:

Which property is shown?

fraction numerator 4 over denominator 5 end fraction plus open parentheses negative fraction numerator 4 over denominator 5 end fraction close parentheses equals 0

Question options:

Associate Property of Addition

Additive Inverse Property

Additive Identity Property

Multiplicative Inverse Property

Answers

Answer:

Additive Inverse

Step-by-step explanation:

They are the same fraction...EXCEPT one is (-), and + and - are the inverse of each other

HOPE THIS HELPS

What is the value of x?
O12 units
O15 units
O20 units
O 24 units ​

Answers

Answer:

15 units

Step-by-step explanation:

We can calculate the value of x using Euclidean theorem

x^2 = 9 × 25 ➡ x^2 = 225

x = 15

I need HELPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! please

Answers

Step-by-step explanation:

you simplify your answer and write it as proper fraction

HURRY PLEASE!

Which statement is true regarding the graphed functions?

A) f(0) = 2 and g(-2) = 0
B) f(0) = 4 and g(-2) = 4
C) f(2) = 0 and g(-2) = 0
D) f(-2) = 0 and g(-2) =0​

Answers

the answer is B.
apex

Find the values of x and y

Answers

Answer:

You can find out x and y  by solving these equations simultaneously.

First case:

according to the opposite angle theorem, (18y+5)° = (10x-61)°

Now let's simplify them;

18y-10x = -66

y= (10x-66) ÷ 18......................(i)

Second case:

Around that centre, it is always 360°.

And the angle opposite to the (x+10)v is also (x+10)°.

And sum of these 4 angles is 360°.

(18y+5)° + ( 10x-61)° + (x +10)° + (x +10)°= 360°

18y + 12x -36 = 360°

18y + 12x = 396...........................(ii)

Now replace the value of y from (i) into (ii):

18 ((10x-66) ÷ 18) +12x =396

(10x-66) +12x = 396

22x -66 = 396

22x = 462

x = 21

Now let's put this value of x into our equation (i):

y= (10(21)-66) ÷ 18

y= 8

Cheers :)

Plz help me 10 points

Answers

Answer:

I think the answer is 7.20.....

Now that i can answer finally, the answer is $7.20, if she loses $2.40 every time she doesn't do her chore, that $2.40 x 3 which gets you $7.20

Simplify:
2(-3x – 6)
-6x + 12
A
B
-62 – 12
-6.3 4
sh
D-60 - 8

Answers

Answer:

-12x

Step-by-step explanation:

2(-3x - 6) -6x +12

-6x - 12 -6x +12

-12x

your welcome

this is the only thing i do not understand about geometry

Answers

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )

20 × tan40° = opp , thus

opp = 20 × 0.839 ≈ 16.78 , then

height of traffic light = 16,78 + 5 = 21.78 ft

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

Using the tangent ratio in the right triangle

tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )

Multiply both sides by d

d × tan42.71° = 150 ( divide both sides by tan42.71° )

d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m

Solve the following equation for y.
y-(-7)= 3(x-(-6))

Answers

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(-7/3*x-6)=0  

STEP

1

:

           7

Simplify   —

           3

Equation at the end of step

1

:

              7          

 y -  ((0 -  (— • x)) -  6)  = 0  

              3          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        6     6 • 3

   6 =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-7x - (6 • 3)     -7x - 18

—————————————  =  ————————

      3              3    

Equation at the end of step

2

:

      (-7x - 18)

 y -  ——————————  = 0  

          3      

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

         y     y • 3

    y =  —  =  —————

         1       3  

STEP

4

:

Pulling out like terms :

4.1     Pull out like factors :

  -7x - 18  =   -1 • (7x + 18)  

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

y • 3 - ((-7x-18))     3y + 7x + 18

——————————————————  =  ————————————

        3                   3      

Equation at the end of step

4

:

 3y + 7x + 18

 ————————————  = 0  

      3      

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3y+7x+18

 ———————— • 3 = 0 • 3

    3    

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3y+7x+18  = 0

Equation of a Straight Line

5.2     Solve   3y+7x+18  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3y+7x+18  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -6/1 so this line "cuts" the y axis at y=-6.00000

 y-intercept = -18/3  =  -6  

Calculate the X-Intercept :

When y = 0 the value of x is -18/7 Our line therefore "cuts" the x axis at x=-2.57143

 x-intercept = -18/7  = -2.57143  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -6.000 and for x=2.000, the value of y is -10.667. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.667 - (-6.000) = -4.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -4.667/2.000 = -2.333  

Geometric figure: Straight Line

 Slope = -4.667/2.000 = -2.333

 x-intercept = -18/7 = -2.57143

What is the sum of the interior angle measures of a 20-gon?
O A. 360°
O B. 3,240°
O C. 3,600°
O D. 162°

Answers

Step-by-step explanation:

360 one gon 18 therefore 18*20=360

The answer is A: 360*

When y=75,x=1 over 2 what is the value of y when x is 2 and 1/4

Answers

Answer:337.5

Step-by-step explanation:

.5/75=2.25/x

X=2.25*75/.5 =337.5

Write the equation of the table below in Slope-Intercept Form.

Answers

Answer:

12=-3(-7.5)-10.5

Step-by-step explanation:

first find the slope

m=y2-y1/x2-x1

0-12=(-12)

-3.5-(-7.5)=4

-12/4=(-3)

now write the equation

y=mx+b

12=-3(-7.5)+b

now solve

-3*-7.5=22.5

22.5-22.5=0

12-22.5=(-10.5)

b=-10.5

hope this helps :3

if it did pls mark brainliest

Pls helppppp ‼️‼️12 points‼️6y+12=18 for y

Answers

Answer:

y = 1

Step-by-step explanation:

Hi there !

6y + 12 = 18

6y = 18 - 12

6y = 6

y = 6 : 6

y = 1

Good luck !

y = 1

If 6 multiplied by 1 is 6, then 6 + 12 = 18
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