Q4: Write the equation in slope-intercept form of the line that is perpendicular to
the graph of each equation and passes through the given point.
y = -5x + 1; (2, -1)

Answers

Answer 1

Answer:

5y  = x + 11

Step-by-step explanation:

Given parameters:

  Equation of the line ;

           y  = -5x + 1

  Coordinates = (2, -1)

Find the equation of a line perpendicular;

Solution:

A line perpendicular to  y  = -5x + 1  will have slope that is a negative inverse of the given one.

Equation of a straight line is expressed as;

           y  = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

        So, the slope of the new line perpendicular is [tex]\frac{1}{5}[/tex] ;

Now let us find the y-intercept of the new line;

   x = -1 and y = 2

      2  = [tex]\frac{1}{5}[/tex] x (-1) + c

           c  = 2 + [tex]\frac{1}{5}[/tex]   = [tex]\frac{11}{5}[/tex]  

The equation of the new line is;

          y  =  [tex]\frac{1}{5}[/tex]x +  [tex]\frac{11}{5}[/tex]  

or multiply through by 5;

        5y  = x + 11


Related Questions

How many proportional relationships are shown

Answers

Answer:

2 I think thats the answer

Step-by-step explanation:

An integer is 15 more than 2 times another. If the product of the two integers is -27, then find the integers

Answers

Answer:

The required integers are x=3 and y= -9

Step-by-step explanation:

Let one the integers be x and y

An integer is 15 more than 2 times another: x=15+2y

product of the two integers is -27: x*y=27

[tex]x=15+2y ---eq(1)\\x*y=-27----eq(2)[/tex]

Solving both equations to find values of x and y

Putting value of x from equation 1 in equation 2

[tex](15+2y)*y=-27\\15y+2y^2=-27\\Rearranging:\\2y^2+15y-27=0[/tex]

This can be solved using quadratic formula:

[tex]$y=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

Putting values and finding factors

[tex]$y=\frac{-(15)\pm\sqrt{(15)^2-4(2)(-27)}}{2(2)}$\\$y=\frac{-(15)\pm\sqrt{225+216}}{4}$\\$y=\frac{-(15)\pm\sqrt{441}}{4}$\\$y=\frac{-(15)\pm21}{4}$\\$y=\frac{-(15)+21}{4} \ or \ y=\frac{-(15)-21}{4}$\\$y=\frac{6}{4} \ or \ y=\frac{-36}{4}$\\$y=\frac{3}{2} \ or \ y=-9$[/tex]

Since y is integer so, we consider only y= -9

The value of x will be:

[tex]x*y=-27\\x*(-9)=-27\\x=\frac{-27}{-9} \\x=3[/tex]

So, the value of x is x=3

The required integers are x=3 and y= -9

help please ASAP!!!!!
you can zoom in to see better

Answers

Answer:

true, false, and false

Step-by-step explanation:

18. Which product is greater. (-4)-(-6) or
(-7).(-8)? Explain.

Answers

Answer:

So when u do (-4)-(-6) it equals 2.

But when u do (-7)*(-8) it equals 56

Therefore saying that (-7)*(-8)=56 is the greatest product.

Step-by-step explanation:

Write the equation of a line perpendicular to y=-5x that passes through the point (1,1) in slope intercept form. (This question is worth 2 points. One point for the correct slope and the second point is for the correct y intercept.)

Answers

Answer:

y= 1/5x + 0.8

Step-by-step explanation:

Hope this helps

Will mark as brainless if you answer correctly

Answers

Answer:

ans=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10(4-7) /   -(4 - 1)

10(-3)  /    -(3)

-30    /    -3 =

10

what is equivalent to x+x ?
a)xx
b)2x
c)x^2
d)2^x

Answers

I’m pretty sure the answer is 2x

Answer:

b

Step-by-step explanation:

I think it is B because x+x is two x's so it would be 2x. I hope this helped have a good day

when a pendulum swings, at which point is potential energy highest?

Answers

The bottom. Mark Brainliest

determine the slope of the line that passes through each pair of points (3,8) and (1,5)

Answers

Answer:

3/2

Step-by-step explanation:

Ella swims four times a week at her clubs pool. She swims the same number of labs on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 labs each week. How many laughs does she swim on Monday?

Answers

52 laps is the correct answer. Explaining. Don’t have to I just took the test and got a 100

5z + 3n -z2 ; n = 4.5 , z = 6 PLZ answer this

Answers

Answer:

5(6)+3(4.5)- 6(2)= 31.5

Step-by-step explanation:

Answer:

hmmmmm

Step-by-step explanation:

Emile paid $3.96 for 4 songs.

What is the unit rate and what does it mean?

Enter your answers in the boxes.

Answers

Answer:

$0.99

Unit rate is cost for 1 individual (song)

Step-by-step explanation:

$3.96/4

0.99

99 cents

Free brainliest timmmmmmme :)


What is 2+2?
A. 69
B. 420
C:666
D:21

PLEASE HELP WORTH 4 POINTS

Answers

Answer:

2+2=4

Step-by-step explanation:

lol tell me the subject and ill research and give u n answer

Work out (7×10^5) ÷ (2×10^2)
Give
your answer in standard form.​

Answers

Answer:

3.5 X 10^3

Step-by-step explanation:

Help!! Please thanks

Answers

Answer:

i think you have chosen the right answer i don't really know its tricky for me

Step-by-step explanation:

Why is it important for mathematicians to graph functions? Select all that apply.
A. For them to determine if a function can be inverted.
B. For them to visualize the function.
C. For them to extrapolate beyond the known data.
D. For them to determine if the function can be graphed.
E. For them to determine characteristics of the function.

Answers

Answer:

e

Step-by-step explanation:

s

Who wanna help me ???

25 points and brainlest

Answers

Answer:

2/5

Step-by-step explanation:

8/20=2/5

In a particular​ game, the probability of winning $95 is 1/36 and the probability of losing $7 is 35/36. What is the expected value after playing this​ game? Round to the nearest cent.

Answers

Answer:

1.53

Step-by-step explanation:

1

36

(

85

)

+

(

35

36

)

(

4

)

=

E

V

 

85

36

140

36

=

E

V

55

36

=

E

V

E

V

$

1.53

AC=39 Find the length of AB

Answers

Answer:

AB = 12

Step-by-step explanation:

2×2+31×1+1+1+1+1+11×4×4×4×4×4×4×4×4×4

Answers

Answer:

I think it is 13107200

Step-by-step explanation:

I think the answer might be 2,883,623. Hopefully, this helps you! :)

David has available 40 yards of fencing and wishes to enclose a rectangular area.

Answers

Answer:

5 units will be your width and 15 will be your length so it would look like side#1=5 side #2=15 side number3 is 5 and side number 4 is 15 assuming that side 1 and 3 are parallel.

Step-by-step explanation:

yes

The function t= 21.55 cos (pi/6(m-7)) + 43.75 models the average high temperature in degrees Fahrenheit each month

Answers

Answer:

B - 8

Step-by-step explanation:

Answer:

answer is letter b 8

Step-by-step explanation:

I WILL REWARD BRAINLIEST OKAY IM BEGGING YOU HELP ME

IN THAT PHOTO WHAT ARE THE X AND Y INTERCEPTS!?! WAIT DON'T LOOK AT THE PHOTO YET!!

PLEASE LOOK AT THIS EXAMPLE:

X intercept: ( ), ( )
Y intercept: ( ), ( )

NOW LOOK. AT THE PHOTO PLEASE!!​

Answers

Answer:

X-intercept: -10

Y-intercept: -45

(-10),(-45)

Step-by-step explanation:

Hop this helped, Have a Wonderful Day!!

Suppose that a company has fixed costs of $23 per unit and variable costs $10 per unit when 13,500 units are produced. What are the fixed costs per unit when 10,000 units are produced?

Answers

answer

32632 answer hai bro

-413.4=-15.9n please help

Answers

Answer:

[tex]\boxed {n = 26}[/tex]

Step-by-step explanation:

Solve for [tex]n[/tex]:

[tex]-413.4 = -15.9n[/tex]

-Switch sides:

[tex]-15.9n = -413.4[/tex]

-Divide both sides by [tex]15.9[/tex] and expand by multiplying both numerator and denominator by [tex]10[/tex]:

[tex]\frac{-15.9n}{-15.9} = \frac{-413.4}{-15.9}[/tex]

[tex]n = \frac{-4134}{-159}[/tex]

-Divide [tex]-4134[/tex] and [tex]-159[/tex]:

[tex]n = \frac{-4134}{-159}[/tex]

[tex]\boxed {n = 26}[/tex]

Therefore, the value of [tex]n[/tex] is [tex]26[/tex].

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

-0.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

best estimate for 563 / 15

Answers

Answer: 37 8/15 or 37.53

Step-by-step explanation:

use math_way its amazing for math problems, if i could give a rating it would definitely get 5 stars.

its a website and a app i believe it can be used for ios and android

aka apple and everything else

btw i had to add that (_) <that in the name because it wont let me say it normally

45×(−10)×45 STEP explanation ​

Answers

Answer:

-20,250

Step-by-step explanation:

PEMDAS

Multiply left to right

45 * -10 * 45

45* -10

-450 * 45 =

-20,250

What is 20 divided by 740 with remainder

Answers

Answer:

37 R0

Step-by-step explanation:

740/20=37, so there is no remainder.

I hope this helps you! Have a great day c:

Dividing 20 by 740 gives us remainder 20 and quotient 0.

To find the result of 20 divided by 740 with a remainder,

Perform the division and take note of the quotient and remainder.

20 ÷ 740 = 0 with a remainder of 20.

Division is a mathematical operation that involves splitting a number (the dividend) into equal parts,

with a divisor indicating how many parts we want to split it into.

The quotient is the number of equal parts, and the remainder is what's left after have split the dividend into as many equal parts as possible.

20 divided by 740, we are trying to find out how many times 740 can fit into 20.

Since 740 is much larger than 20, it cannot fit even once.

So, the quotient is 0, indicating that 0 whole units of 740 can fit into 20.

However, there is a remainder of 20.

The remainder represents the portion of 20 that cannot be evenly divided by 740.

It is what remains after we have divided the dividend by the divisor as many times as possible.

Therefore, 20 divided by 740 is 0 with a remainder of 20.

learn more about remainder here

brainly.com/question/29019179

#SPJ2

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.05?

If it was later determined that it was important to be more than 95% confident and a new survey was commissioned, how would that affect the minimum number you would need to survey? Why?

a. If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.
b. If the confidence level is increased, then the sample size would need to decrease because increasing the sample size would create an even larger interval.
c. If the confidence level is increased, then the sample size would need to decrease because we would like the proportion of people who buckle up to be around 50%.
d. If the confidence level is increased, then the sample size would not be affected.

Answers

Answer:

The value  is  [tex]n = 384 [/tex]

The correct option is a

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =  0.05

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of   is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally since the sample proportion is not given we will assume it to be

      [tex]\^ p = 0.5[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>   [tex]n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5) [/tex]

=>   [tex]n = 384 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

Generally if the level of confidence increases,  the critical value of  [tex]\frac{\alpha }{2}[/tex]  increase and from the equation for margin of error we see the the critical  value varies directly with the margin of error , hence the margin of error  will increase also  

So  If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

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