Find the equation of the line that
is perpendicular to y = -8x + 2
and contains the point (-4, 1).

Answers

Answer 1

Answer:

Step-by-step explanation:

Perpendicular lines will have negative inverse slopes of each other. In this case, the slope of the known line is -8. The negative of -8 or -(-8) is just +8. The inverse of +8 is +1/8.

Now we know the slope of the line perpendicular to y=-8x+2 and we are given the point (-4,1).

All linear lines have the form of y=mx+b and we know the slope.

y=1/8x+b

We plug in (-4,1) into the equation:

1=1/8 * -4 +

1=-1/2+b

b=3/2

We now have the b constant and can simply just write the equation:

y=1/8x+3/2

Answer 2

Answer:

=-8x+2

Step-by-step explanation:

step by step explanation


Related Questions

Simplify this expression

20f-4(5f+4)+16

Solve step by step

Answers

20f - 4 (5f + 4) + 16

= 20f - 20f - 16 + 16

= 0

Answer:

0

Step-by-step explanation:

Distribute terms in the parentheses

20f - 4(5f + 4) + 1620f - 20f - 16 + 16 0 + 0 [20f and -20f, and -16 and 16 cancel out]0

Which statement about odd functions is correct?
A. They are symmetric over the x-axis.
B. They have rotational symmetry.
C. They are symmetric over the y-axis.
D. They are transformations of the parent function.​

Answers

No one because odd functions are symmetric about the origin.

What is an odd function?

It is a function such that f (x) =f (x) with the sign reversed but the absolute value unchanged if the independent variable's sign is reversed.

If f(x) Equals f(x) for every x, a function is odd. An odd function's graph will be symmetrical around the origin.

For instance, f(x) = x3 is an odd number. That is, the function on one side of the x-axis is sign inverted in relation to the function on the other side, or graphically, symmetric about the origin.

Therefore the odd functions are symmetric about the origin.

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Answer: B

Step-by-step explanation:

The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.

Why are the events not independent?

The sum of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is not equal to P(A and B).
The sum of P(A) and P(B) is not equal to P(A and B).

Answers

It’s the first one I just did the quiz got it right

What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 i? f(x) = x2 – 2x 2 f(x) = x3 – x2 4x – 2 f(x) = x3 – 3x2 4x – 2 f(x) = x2 – x 2

Answers

The polynomial with the lowest degrees and a leading coefficent of 1 will be f(x) = x^2 – x

Polynomial function

These are function with leading degree of 3 and above

Given the standard polynomial function of degree 3

ax³+bx²+cx+d

The leading coefficient is "a"

The polynomial with the lowest degrees and a leading coefficent of 1 will be f(x) = x^2 – x

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Sum interior angle on a regular pentagon

Answers

Answer:

540°

Step-by-step explanation:

Formula: note that n means nr of sides

(n-2)×180°

(5-2)×180°=3×180=540°

Where each angle are 540°÷5=108°

Answer:

540

Step-by-step explanation:

108 is one interior angle from a regular pentagon

And a pentagon has 5 interior angles

So 180x5=540

The parent cosine function is transformed to create the function . which graphed function has the same amplitude as function m?

Answers

Based on the graph given, the option that will show the same amplitude as function m is graph D.

Which graphed function  is this about?

The cosine function is seen as:

f(x) = A*cos(kx) + M

And the functions are:

A stands for amplitude, k is angular frequency,M is the midline.

When the function is m(x) = -2*cos(x+π).

The absolute value of the amplitude will be 2*|-2| = 4

Therefore, the option that can have the requirement above is graph D.

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Complete the recursive formula of f (n)

Answers

The value of the given function will be written as:-

a) f(1)= 12

b) [tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The given function is :-

[tex]f(n)= -48(\dfrac{-1}{4} ) ^{n}[/tex]

So the value of the given function f(1) will be:-

[tex]f(1)= -48(\dfrac{-1}{4} ) ^{1}=12[/tex]

The value of the function f(n-1) will be:-

[tex]f(n-1)= -48(\dfrac{-1}{4})^{n-1}[/tex]

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bonjour je n'y arrive pas, quelqu'un pourrait m'aider s'il vous plaît ?

Answers

Answers:

BD = 6

AC = 7.5

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

Work Shown:

BD/BA = BE/BC

x/9 = 4/6

6x = 9*4

6x = 36

x = 36/6

x = 6

BD = 6

---------

DE/AC = BE/BC

5/y = 4/6

5*6 = y*4

30 = 4y

4y = 30

y = 30/4

y = 7.25

AC = 7.5

What is the solution of log3x-2 4096=3

Answers

It is 629, because I used gauthmarh to translate it

Find the midpoint M of the line segment joining the points A = (7, - 8) and B = (- 3, - 4)

Answers

Answer:

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Use this calculator to calculate the midpoint, the distance between 2 points, or find an endpoint given the midpoint and the other endpoint.

Step-by-step explanation:

Step-by-step explanation:

(7+(-3))/2 , (-8+(-4))/2(7-3)/2 , (-8-4)/24/2 , -12/2midpoint = (2,-6)

Let x = 0.147 and let y = 0.147.

Answers

Answer:

X is a rational number, y is not a rational number, and y is larger.

Step-by-step explanation:

The line above the 0.147 means that the number goes on forever and never stops. This is a characteristic of an irrational number. Rational numbers, however, do stop, so x is rational. Because y goes on forever, it has more values after the 0.147, making it larger.

7


i need help!!



math geniuses pls help me!



please help!!!!



——-

———

Answers

Answer:

1 sick chick FIL a have to be there by the time

Answer:

B is the correct choice.

Explanation:

r = 4sin∅, a = 4, R = 2

[tex]\begin{tabular}{c | l}\theta & r \\ \cline{1-2}\pi /6 & 2\\\pi /3 & 2\sqrt{3}\\\pi /2 & 4\\2\pi /3 & 2\sqrt{3} \\5\pi /6 & 2\\\pi & 0\end{tabular}[/tex]

Plot these points.

Having trouble with this problem, can someone help me understand how to solve this.

Answers

Answer:

448m^3

Step-by-step explanation:

volume of pyramid  = 1/3*area of base * perpendicular height

12*16=192m^2

1/3*192*7=448m^3

The value of a in the equation, a-6=9 is
PLS HELP ME!!!

Answers

Answer:

15

Step-by-step explanation:

15-6=9 so a-6=9

Answer:

17

Step-by-step explanation:

17-6=9 (to double check your work and make sure it's right you do the opposite [9+6=17] )

You have been given data about gas prices in 15 states.

2018 Gas Price Data

Max: $2.42

Min: $2.03

Mean: $2.098

Median: $2.06

Mode: $2.04

Variance: 0.0121

Standard Deviation: $0.1098

What does the mean and median of the data say about gas prices in 2018?

Answers

Both the mean and the median can be used to describe where the “center” of a dataset is located. It’s best to use the mean when the distribution of the data values is symmetrical and there are no clear outliers. It’s best to use the median when the distribution of data values is skewed or when there are clear outliers.

Figure D
-2
W
jures are congruent?
SA and B
SA and C
A and D
C and D

Answers

Answer:

the answer is figure A and C

offering tons of points and brainliest for the right answer!
A boat can travel 28 miles up a river in the same amount of time it takes to travel 36 miles down the same river. If the current is traveling at 2 miles per hour, what is the speed of the boat in still water?

Answers

Answer:

  16 mph

Step-by-step explanation:

You want the speed of a boat in still water if it travels 28 miles upstream in the same time it travels 36 miles downstream in a river that runs 2 mph.

Time

The relation between time, speed, and distance is ...

  t = d/s

If we let b represent the boat speed, the two identical times give the relation ...

  28/(b -2) = 36/(b +2)

Solution

  28(b +2) = 36(b -2) . . . . cross multiply

  28b +56 = 36b -72 . . . . eliminate parentheses

  128 = 8b . . . . . . . . . . . . add 72 -28b

  16 = b . . . . . . . . . . . . divide by 8

The speed of the boat is 16 mph.

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3
Find the surface area of the figure shown below.
1 mm
1 mm
1 mm
Figure not drawn to scale
Surface area is?

Answers

Answer:

6

Step-by-step explanation:

Since this is a cube, and the lengths that are given are 1 mm, then you just add all the sides of a cube. There are 6 sides in a cube, 1+1+1+1+1+1=6

A cylinder has radius 14 inches and height 12 inches. A cone has the same radius and height.

Round Volume answers to the nearest hundredth.

A) Find the volume of the cylinder. V=

B) Find the volume of the cone. V=

C) What fraction of the cylinder's volume is the cone's volume?

Answers

A. The volume of the cylinder is: 7389.03 in.³

B. The volume of the cone is: 2463.01 in.³

C. The volume of the cone is one-third (1/3) of the volume of the cylinder.

What is the Volume of a Cone and a Cylinder?Volume of cone = 1/3πr²hVolume of cylinder = πr²h

A. Volume of the cylinder = πr²h = π(14²)(12) = 7389.03 in.³

B. Volume of the cone = 1/3πr²h = 1/3π(14²)(12) = 2463.01 in.³

C. The volume of the cone is one-third (1/3) of the volume of the cylinder.

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Find the area of the triangle. area triangle 4

Answers

Answer:

12

Step-by-step explanation:

because when u plus 4+4+4 it's 12

Raquel needs to graph a square on a coordinate plane using the points (8,2), (8,5), (5,5), and (5,2). What steps does Raquel need to follow to graph the square?

Answers

Answer:

First things first you set up your coordinate plane. Then you have to remember that the the first number is the x-axes and the second number is the y-axes. Then you go straight from (0,0) of the x-axes all the way to (8,0) then you go up two times (8,2) there is your first one. Then you gotta so the same steps 3 more times. But it has to be in different places.

MULTIPLE CHOICE QUESTION
Which is the greater number
0.23 or 0.111

Answers

Answer:

0.23

Step-by-step explanation:

0.23 - 0.111 = 0.119

Meaning that it's greater in value.

Answer:

0.23

Step-by-step explanation:

When you look in the tenths place 2 is greater than one :) hope this helps!!

GIVING BRAINLIEST!!!!!

Answers

Answer:

(4,1)

Step-by-step explanation:

After being reflected over the x=-3 line it will be (1,4)
then you reflect over the y=x line which makes it (4,1)

Problem 4.2
A textbook has 428 numbered pages, starting with 1.



A textbook has 428 numbered pages, starting with 1.

You are equally likely to stop on any of the pages if you flip through the book randomly.
What is the probability that you turn to an even-numbered page?

Answers

Answer:

50%

half of the numbers are even

Step-by-step explanation:

on marks first day, he ran 5 laps without stopping after several weeks of training he ran 9 weeks without stopping. what is the percent increase.

Answers

The percentage increase from 5 laps of race on the first day to 9 laps after several weeks is 80%

How to determine the percentage increase?

The distance ran are given as:

Initial = 5 laps

Final= 9 laps

The percentage increase is calculated using:

Percentage = (Final - Initial)/Initial

So, we have:

Percentage = (9 - 5)/5

Evaluate

Percentage = 0.8

Express as percentage

Percentage = 80%

Hence, the percentage increase is 80%

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what is the approximate value for 683 divided by 19

Answers

Answer:

Your answer is: 36!

Step-by-step explanation:

Hope this helped :)

Question Progress 10 Homework Progress 17/ x: y = 2:3 Which is the correct equation? A 2x = 3y B 2y = 3x C y = x - 1 D y = x + 1
I need help on this it's only 1 attempt or I'll get a 1hr detention ​

Answers

Answer:  2y = 3x

Reason:

The equation x:y = 2:3 is the same as saying x/y = 2/3

Cross multiply to get 3x = 2y which flips to 2y = 3x

y=x^4-x^3-5x^2-x-6
Show steps

Answers

Answer:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x. x= i, −i, 3,−2

Step-by-step explanation:

Answer:

[tex](x-3)({x}^{2}+1)(x+2)[/tex]

Step-by-step explanation:

1) Factor [tex]x^4 - x^3 - 5x^2 - x - 6[/tex] using Polynomial Division.

1 - Factor the following.

[tex]x^4 - x^3 - 5x^2 - x - 6[/tex]

2 - First, find all factors of the constant term 6.

[tex]1, 2, 3, 6[/tex]

3 - Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

[tex]1^4 - 1^3 - 5 * 1^2 - 1 - 6 = - 12[/tex]

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

[tex]( - 1 ) ^ 4 - ( - 1 ) ^ 3 - 5 ( - 1 ) ^ 2 + 1 - 6 = - 8[/tex]

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

[tex]{2}^{4}-{2}^{3}-5\times {2}^{2}-2-6 = -20[/tex]

Substitute -2 into x. Since the result is 0, x+2 is a factor..

[tex]{(-2)}^{4}-{(-2)}^{3}-5{(-2)}^{2}+2-6 = 0[/tex]

⇒ [tex]x+2[/tex]

4 - Polynomial Division: Divide [tex]{x}^{4}-{x}^{3}-5{x}^{2}-x-6[/tex] by [tex]x+2[/tex]

                                        [tex]x^3[/tex]                [tex]-3x^2[/tex]              [tex]x[/tex]           [tex]-3[/tex]

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

[tex]x+2[/tex]                                    |   [tex]x^4[/tex]        [tex]-x^3[/tex]               [tex]-5x^2[/tex]     [tex]-x[/tex]           [tex]-6[/tex]

                                                  [tex]x^4[/tex]         [tex]2x^3[/tex]

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

                                               [tex]-3x^3[/tex]         [tex]-5x^2[/tex]          [tex]-x[/tex]              [tex]-6[/tex]

                                                 [tex]-3x^3[/tex]       [tex]-6x^2[/tex]

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

                                                    [tex]-3x[/tex]         [tex]-6[/tex]

                                                       [tex]-3x[/tex]      [tex]-6[/tex]

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

5 - Rewrite the expression using the above.

[tex]{x}^{3}-3{x}^{2}+x-3[/tex]

2) Factor out common terms in the first two terms, then in the last two terms.

[tex]({x}^{2}(x-3)+(x-3))(x+2)[/tex]

3) Factor out the common term [tex]x-3[/tex].

[tex](x-3)({x}^{2}+1)(x+2)[/tex]

help plssssssssssssssssssss

Answers

Answer:

The circumference is 75.36 inches.

Step-by-step explanation:

Hi there! Please take a look at the following explanation and let me know in the comment if you have any doubts!

Given:

We are given the radius that’s equal to 12 inches and π = 3.14

Problem:

We want to find the circumference.

Circumference Formula:

[tex]\displaystyle \large{C=2\pi r}[/tex] which simply means circumference = 2*π*radius or sometimes can also be written as [tex]\displaystyle \large{C=\pi d}[/tex] which means circumference = π*diameter since 2r means two times of radius and that’s technically diameter.

Step:

Determine the following:

π = 3.14 as givenr = 12 as given

Apply the circumference formula.

[tex]\displaystyle \large{C=2\cdot 3.14 \cdot 12}\\\\\displaystyle \large{C = 24 \cdot 3.14}\\\\\displaystyle \large{C=75.36}[/tex]

Hence, the circumference is 75.36 inches.

Answer:

75.36 in^2

Step-by-step explanation:

24*3.14

=75.36 in^2

A numerical measure computed from a sample, such as sample mean, is known as a.

Answers

Answer:

Sample statistic

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