The given line passes through the points and (4, 1).

On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (, 3)?

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]m = -\frac{1}{2}[/tex]

[tex](x_1,y_1) = (-1,2)[/tex]

Required

Graph the line

First, is to determine the equation of the line using:

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

So:

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

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

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

Cross multiply:

[tex](y -2) * 2 = -1 * (x + 1)[/tex]

[tex](y -2) * 2 = -x -1[/tex]

Solve for y - 2

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

Solve for y

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

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

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

The above equation will then be plotted on the graph (See attachment)

Answer:

6

Step-by-step explanation:

Answer:

hii

have a good day for you!

9514 1404 393

Answer:

  1)  f⁻¹(x) = 6 ± 2√(x -1)

  3)  y = (x +4)² -2

  5)  y = (x -4)³ -4

Step-by-step explanation:

In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.

__

1) x = f(y)

  x = (1/4)(y -6)² +1

  4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4

  ±2√(x -1) = y -6 . . . . square root

  y = 6 ± 2√(x -1) . . . . inverse relation

  f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form

__

3) x = √(y +2) -4

  x +4 = √(y +2) . . . . add 4

  (x +4)² = y +2 . . . . square both sides

  y = (x +4)² -2 . . . . . subtract 2

__

5) x = ∛(y +4) +4

  x -4 = ∛(y +4) . . . . . subtract 4

  (x -4)³ = y +4 . . . . . cube both sides

  y = (x -4)³ -4 . . . . . . subtract 4

Answer:

527

Step-by-step explanation:

because i did it in the calculator

Answer:

0.833

Step-by-step explanation:

There are 365 days in 2021

There are 31 days in October

There are 30 days in November

(365-61)/365 = 0.833

Answer:

35

Step-by-step explanation:

its the 4th step your welcome

20-25-30-35

56-49-42-35

Answer: 35 I got it correct on the quiz

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

Approximate of error = 11.11 % (Approx.)

Step-by-step explanation:

Given:

Exact value = 50

Approximate value = 45

Find:

Approximate of error

Computation:

Approximate of error = [(Exact value - Approximate value)/Approximate value]100

Approximate of error = [(50 - 45)/45]100

Approximate of error = [(5)/45]100

Approximate of error = [0.11111]100

Approximate of error = 11.11 % (Approx.)

  rate of change is 1/4

Step-by-step explanation:

Answer:

60 Units

Step-by-step explanation:

The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.

The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of the sides of the triangle are

The measure of side AB = 61 units

The measure of side BC = 11 units

The measure of side AC = 60 units

And , the triangle is rotated by 90° counterclockwise  about the origin

The coordinates of the triangle after rotation is A'B'C'

And ,

The measure of side A'B' = 61 units

The measure of side B'C' = 11 units

The measure of side A'C' = 60 units

The length of the sides of the triangle does not change during a transformation of rotation by any degree

Hence , the measure of side A'C' of triangle is 60 units

To learn more about rotation click :

https://brainly.com/question/3956347

#SPJ3

Answer:

x = 20

Step-by-step explanation:

The angles are supplementary so:

7x + x + 20 = 180

8x + 20 = 180

8x = 160

x = 20

Answer:

12209034563 will be your answer.

Step-by-step explanation:

just add it.

Answer:

WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.

12209034563

more info can be giving on usecalculator.com

Step-by-step explanation:

Answer: 600 sq cm

Step-by-step explanation: Each side is 100 cm^2, and there are a total of 6 sides. 100•6=600.

Hope this helps!

Answer:

SA = 600

Step-by-step explanation:

A cube has six sides.

The formula to find the SA of a cube is 6a^2

6 x 10^2 = 6 x 100 = 600

Answer:

true

Step-by-step explanation:

because 0.21 ×1.8 is 0.378

Answer:

Each child will receive [tex]\frac{1}{15}[/tex] of a pound

Step-by-step explanation:

[tex]\frac{1}{5*3}[/tex]

Answer:

[tex]4x {}^{2} - 36 \\ = (2x + 6)(2x - 6) \\ hence \: option \: b \: is \: correct[/tex]

Answer:

The mean absolute deviation is 2.4

Step-by-step explanation:

Answer:

c -1 and 2

Step-by-step explanation:

can i have BRAINLIEST?

Answer:

[tex]y+6=-2(x-4)[/tex]

Step-by-step explanation:

Point-slope form is a way of representing a line by using one of its points and the slope of a line. Its general format is the following,

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

Where (m) represents the slope, ([tex]x_1[/tex]) and ([tex]y_1[/tex]) represents a point on the line.

It is given that the slope of the line is (-2), and that the line has point (4, -6). Substitute this into the formula.

[tex](y-(-6))=-2(x-4)[/tex]

[tex]y+6=-2(x-4)[/tex]

Answer:

I am not sure but I think it is c

Step-by-step explanation:

The algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

[tex]8[/tex] more than [tex]5[/tex] times a number

Now,

Let a number [tex]=x[/tex]

So,

According to the question,

We get, [tex](8+5x)[/tex]

So, this is the algebraic expression .

We have,

[tex]4(n + 6)[/tex]

So,

According to the question,

[tex]4(n + 6)[/tex] will be written as four times the sum of a number and six.

So, this is the verbal expression .

Hence, we can say that the algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.

To know more about expression click here

https://brainly.com/question/14083225

#SPJ3

Answer:

8 tablets

Step-by-step explanation:

t = # tablets she must sell

348 = 33t + 84

264 = 33t

t = 8

The sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.

To determine the minimum number of tablets the sales associate needs to sell in order to make at least $348 in one day, we can set up an inequality based on the given information.

Let's denote the number of tablets sold as "x."

Given:

Earnings per day (base pay) = $84

Commission per tablet sold = $33

Desired earnings for the day = $348

The total earnings for the day can be calculated as follows:

Total earnings = Base pay + (Commission per tablet * Number of tablets sold)

Total earnings ≥ Desired earnings

Setting up the inequality:

$84 + ($33 * x) ≥ $348

Simplifying the inequality:

$84 + $33x ≥ $348

Now, let's solve for x:

$33x ≥ $348 - $84

$33x ≥ $264

Dividing both sides of the inequality by $33 (the coefficient of x):

x ≥ $264 / $33

x ≥ 8

Therefore, the sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.

To know more about  "inequality."  here

https://brainly.com/question/25944814

#SPJ2

Answer:

I think the answer is 11i

there is the correct answer.

Answer:

Oh Stop!!!! This is sooooooooooooo easy! If you would just pay attention in school and not spend all your time trying to buy the new ipad pro maybe you would not have to go to Branily to get a simple answer! Do you think your teacher would like you cheating like this???? I dont think so. So get of of Branily and start studying!!!!  

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

It is a square so the length of 1 side = [tex]\sqrt{169}[/tex] =  13

ppppp)is dilated from the origin by scale factor r to the world

Answer:

The % of women above 50 having mammograms as devised from the survey is 70%.

Step-by-step explanation:

Given

60% of women older than age 50 have annual mammograms

Out of 1000 surveyed women of  age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms

The % of women above 50 having mammograms as devised from the survey is 70%.

Answer:

Mean: 20

Median: 21

Mode: 14

Range: 16

Answer:

the median is 21. the mode is 14 and the range is 16

Step-by-step explanation: