Write an equation in slope-intercept form
of the line that passes through the point
(-12,6) and is perpendicular to the line
X= - 3/4y -5 ( What would be my first step to put that equation into slope intercept form?) 

Answers

Answer 1

Hint :-

The product of slopes of two perpendicular lines is -1 . The slope intercept form of the line is [tex] y = mx + c [/tex] .The point slope form of the line is [tex] m(x-x_1) = (y-y_1) [/tex]

Solution :-

The given equation to us is ,

[tex]\implies x = \dfrac{-3}{4}y - 5 [/tex]

Convert it to slope intercept form we have ,

[tex]\implies 4x =-3y -20 \\\\\implies 3y = -4x -20 \\\\\implies y =\dfrac{-4}{3}x -\dfrac{20}{3}[/tex]

On comparing to the slope intercept form of the line we have ,

[tex]m = \dfrac{-4}{3}[/tex]

As we know that the product of slopes of two perpendicular lines is-1 , henceforth ,

[tex] m_{perp}= \dfrac{3}{4}[/tex]

Now using slope point form rewrite the equation of the perpendicular line ,

[tex]\implies y-y_1 = m(x-x_1) \\\\\implies y -6 = \dfrac{3}{4}(x+12)\\\\\implies 4y -24 = 3x + 36 \\\\\implies 3x -4y +36+24=0\\\\\implies \underline{\boxed{ \gray{3x -4y +60=0}}}[/tex]


Related Questions

Classify each table as linear, exponential, or neither.

.1 x / y
-3 6
-2 0
-1 -4
0 -6
1 -6
2 -4
3 0
4 6

.2 x / y
-2 -2
-1 2
0 6
1 10
2 14

3. x / y
-2 1/9
-1 1/3
0 1
1 3
2 9

Answers

9514 1404 393

Answer:

neither (y=(x-.5)^2-6.25)linear (y=4x+6)exponential (y=3^x)

Step-by-step explanation:

1. Successive y-values have neither a common difference nor a common ratio. The table is neither linear nor exponential.

__

2. Successive y-values differ by 4. The table is linear.

__

3. Successive y-values have a ratio of 3. The table is exponential.

_____

Additional comment

For evenly-spaced x-values, the y-values will have a common difference for a linear function, and a common ratio for an exponential function.

If the table can be represented by a polynomial function, the level at which differences are constant will tell the degree of the polynomial. First differences are constant for a degree 1 (linear) function. Second differences are constant for a degree 2 (quadratic) function. This is the case in Table 1, where second differences are 2.

8
8
4
NI
-27
which system of linear inequalities is graphed?

Answers

8
Please mark me as brainliest

Hey can anyone help me with this ? Thank you so much

Answers

Answer:

5

Step-by-step explanation:

I cant seem to find the right answer for this one, can anyone help me evaluate this problem please

Answers

Answer:

substitute the values of a b and c on the expression and write the answer.

Answer:

((-3×4)-(4×2))^3 (-12+8)^3 (-4)^3 -54

__________ = ________ = ________= ______= -1.8

(2×3)-1 6-1 5 5

Quadrant of -9, 17? I cannot find the answer to the question

Answers

it’s in the second quadrant

Answer:

[tex](-9,\, 17)[/tex] is in the second quadrant of a cartesian plane.

Step-by-step explanation:

The horizontal and vertical axes divides the cartesian plane into four quadrants. The quadrants are numbered counterclockwise, starting from the top-right corner:

[tex]\begin{array}{c|c}\text{second quadrant} & \text{first quadrant} \\\cline{1-2} \text{third quadrant} & \text{fourth quadrant}\end{array}[/tex].

(The quadrants do not include the two axes. Points on either axes are not in any of the quadrant.)

A point in the form [tex](x_{0},\, y_{0})[/tex] is on the right half of the plane (to the right of the vertical axis) if [tex]x_{0} > 0[/tex]. This point is on the vertical axis through the middle of the plane if [tex]x_{0} = 0[/tex]. Otherwise, if [tex]x_{0} < 0[/tex], this point would be on the left half of the plane (to the left of the vertical axis.)

The [tex]x[/tex]-coordinate of [tex](-9,\, 17)[/tex] is [tex]x_{0} = -9[/tex].

Since the [tex]x[/tex]-coordinate of this point is below zero ([tex](-9) < 0[/tex]), this point would be on the left-hand side of the origin to the left of the vertical axis.

Likewise, a point in the form [tex](x_{0},\, y_{0})[/tex] is above the horizontal axis if [tex]y_{0} > 0[/tex], on the horizontal axis if [tex]y_{0} = 0[/tex], and below the horizontal axis if [tex]y_{0} < 0[/tex].

The [tex]y[/tex]-coordinate of the given point [tex](-9,\, 17)[/tex] in this question is [tex]y_{0} = 17[/tex].

Since the [tex]y[/tex]-coordinate of this point is greater than zero ([tex]17 > 0[/tex]), this point would be above the horizontal axis.

Thus, the point [tex](-9,\, 17)[/tex] would be in the top-left quarter of the plane. The top-left quarter of the plane corresponds to the second quadrant, since this quadrant is the second quadrant after the first quadrant in the top-right corner. Hence, [tex](-9,\, 17)\![/tex] would be in the second quadrant of the plane.

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

ydkyksykdysjgjzgjz

Step-by-step explanation:

hlxkzgkzgksykkxmhxykdkydxkhoueydozgkhmzmhxkhdyoeoyxydkydkmxhylekdhkkysykyskkkysyek sheets obvi redfin

Jamarie makes a decorative bookmark of size 2" x 6" for his teacher. Find the
area of the bookmark. *

Answers

Answer:area is 12

Step-by-step explanation:

What is your weight on Jupiter? (g = 26.0 m/s^2)

Answers

Answer:

depends on how much you weigh

Five times the sum of a number and 3 is the same as 3 times the number decreased by 7

Answers

Answer:

18

Step-by-step explanation:

5(n+3) =3(2n-1)

5n+15 =6n-3

18=n

Check all solutions to the equation. If there are no solutions, check 'None."
x = -5

Answers

Answer:

None

Step-by-step explanation:

As per the defenition of Absolute Value, There are no negative values, therefore there are no possible answers, hence you would say "None".

Definition: Absolute Value is the distance a number is away from 0.

Therefore, Distance can never be 0.

solve pls brainliest

Answers

|5|-9=-4
|5-9|=4
I’m pretty sure this is correct I’ve checked like three times

Worth 15 points please help will give brainliest to correct answer

A Scientist wants to test the effect of water temperature on the success of developing frog embryos. The scientist monitors developing
embryos in different water temperatures and counts the number of embryos that mature into tadpoles.

Which variable is the independent variable?

A. Number of frog embryos

B. Species of frog

C. Number of tadpoles

D. Water temperature​

Answers

Answer:

D. Water Temperature

Step-by-step explanation:

A scientist wants to test the effect of water temperature on the success of developing frog embryos. The scientist monitors developing  embryos in different water temperatures and counts the number of embryos that mature into tadpoles.

The water temperature is the independent variable because that is what the scientist is testing / changing.

Hopefully this helps!

Brainliest please?

Using variable concepts, it is found that the independent variable is given by:

D. Water temperature​

What is the relation between a function and the dependent and independent variables?

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

In this problem, the input is the water temperature, hence option D is correct.

More can be learned about dependent and independent variables are https://brainly.com/question/1429012

quien es latino.......​

Answers

Answer:

un montón de gente

Step-by-step explanation:

Please answer #11,#15,and #16.For #11, determine if the graph represents a function.For #15-16 find the domain and range of the function represented by the graph.​

Answers

Problem 11

Answer: Not a function

Why not? Because it fails the vertical line test. It is possible to draw a single straight vertical line through more than one point on this blue curve.

Put another way: An input like x = 2 produces more than one output (y = 2 and y = 4 at the same time). If we wanted a function, we need any given input in the domain to produce exactly one and only one output.

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

Problem 15

Answers:

Domain: [tex]-4 \le x \le 2[/tex]Range:  [tex]2 \le y \le 6[/tex]

Explanation:

The domain is the set of allowed x values. The left-most point on the blue curve is when x = -4, which is the smallest item allowed in the domain. The largest value allowed is x = 2, as this occurs at the right-most point on the blue curve. Therefore, our domain here is [tex]-4 \le x \le 2[/tex]

The range is similar, but we focus on y values this time. The lowest the graph goes is y = 2, and the highest it goes is y = 6. So [tex]2 \le y \le 6[/tex] represents the range of possible y outputs.

For both the domain and range, both endpoints are included.

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

Problem 16

Answers:

Domain: [tex]2 < x < 7[/tex]Range: [tex]1 < y < 6[/tex]

Explanation:

We follow the same idea as before. This time however, we have open holes which means that we do not include the endpoints.

The domain is [tex]2 < x < 7[/tex] since the curve spans from x = 2 to x = 7, excluding both of those x values. The range is [tex]1 < y < 6[/tex] for similar reasoning.

Notice how both problems 15 and 16 are functions because they pass the vertical line test. It is not possible to draw a single vertical line through more than one point on either blue curve.

[tex]f(x)=x^{2} -3x-10[/tex]

Answers

Answer:

Given

f(x) = 3x + 2

g(x) = (x + 3) / (2x - 10)

#1

g · f(x) =

g(f(x)) =

(3x + 2 + 3)/ (2(3x + 2) - 10) =

(3x + 5) / (6x - 6)

#2

f · g(x) =

f(g(x)) =

3[(3x + 2) / (2x - 10)] + 2 =

(9x + 6) / (2x - 10) + 2 =

(9x + 6 + 4x - 20)/ (2x - 10) =

(13x - 14) / (2x - 10)

Step-by-step explanation:

Leila can ride her bicycle 8 miles in 1 hour.
At this rate, how long will it take Leslie to ride
20 miles?

Answers

Answer:

2 hours and 30 minutes

Step-by-step explanation:

20/8 = 2 hours and 30 minutes

What is the equation of this line in slope-intercept form?


y=3x−1

y=−3x−1

y = 3x + 1

y=−13x−1
Number graph ranging from negative six to six on the x and y axes. A line is drawn on the graph that passes through the labeled points begin ordered pair negative 1 comma 2 end ordered pair and begin ordered pair 1 comma negative 4 end ordered pair

Answers

9514 1404 393

Answer:

  y = −3x −1

Step-by-step explanation:

The slope of the line between the two given points (-1, 2) and (1, -4) can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -2)/(1 -(-1)) = -6/2 = -3

The slope is the coefficient of x in the slope-intercept equation for a line. Only one answer choice shows a slope of -3:

  y = -3x -1

_____

Additional comment

If you plot the given points and draw a line through them, you see that the y-intercept is -1. Or, you can use this equation to find the y-intercept from one of the points.

  b = y - mx

  b = 2 -(-3)(-1) = 2 -3 = -1

Now you know m=-3 and b=-1, so you can fill in the slope-intercept form equation:

  y = mx +b

  y = -3x -1

Answer:

 y = −3x −1

Step-by-step explanation:

Pls help I’ll brainlest

Answers

50 x 5 = 250
7.50 x5= 37.50
costs 287.50

Answer:

PLS GIVE BRAINLIEST

Step-by-step explanation:

[tex]50 + 7.50x[/tex]

1. make an equation where x represents hours

[tex]50 + 7.50(5)[/tex]

2. substitute 5 for x

[tex]50 + 37.5[/tex]

3. multiply 7.50 by 5

[tex]87.5[/tex]

4. add 50 and 37.5 to get 87.5

NO LINKS OR ASSESSMENT!!

Graph the image of the figure using the transformation given. Don't forget to prime marks on your new image. ​

Answers

Answer:

See below

Step-by-step explanation:

Use points:

U(-1, -2), V(2, 0), W(3, -3)

Apply the rule:

(x, y) → (x - 4, y + 4)

New points are:

U'(-5, 2), V'(-2, 4), W'(-1, 1)

HELP PLEASE !!!!!!!!

Answers

Answer:

4 3 4 4 4 2 3 4 5 5 3.5 5

Just divide the number by 4

Sry if the list is kinda confusing

Pls help me i need it

Answers

The answer is 4! 40,000km


A diver takes a running leap off of a 40 foot cliff into a pool of water. When she is 5 feet from the cliff,
she reaches a maximum height of 45 feet

Answers

Answer

Wow she can air walk

Step-by-step explanation:

Rewrite the fraction 1/6 as a division expression with the same numbers.​

Answers

9514 1404 393

Answer:

  1 ÷ 6

Step-by-step explanation:

1/6 is a division expression. It means "one divided by six."

The slash (/) can be replaced by the "divided by" symbol (÷), if you like.

  1/6 = 1 ÷ 6 . . . . means "one divided by six"

Value Rent a car rents a luxury car at a daily rate of $38.51 plus 50 cents per mile. A business person is allotted $90 for car rental each day. How many miles can the business person travel on the 90$

Answers

102 miles

90-38.51 = 51.49 dollars left over

51.49/.5 = just over 102 miles

Which of the following does not represent a statistical question?
A. How tall are the students in my class?
B. How many hours per week do you practice sports?
C. How much do the students on the football team weigh?

Answers

Answer:

B

Step-by-step explanation:

Because "How Tall are the students in my class?" and "How much do the students oon the team weigh,?" can vary. If you ask a question about one person, it is not a statistical question because the answer cant vary.

An answer will vary with 2 or more things.

Hope I helped.

How many hours per week do you practice sports? does not represent a statistical question because it asks for a fixed quantity, i.e., the number of hours per week someone practices sports, which does not involve variability or differences among data.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

A statistical question is a question that can be answered through data analysis and involves variability or differences among data.

It usually requires collecting data from a sample or population, organizing and summarizing the data, and drawing conclusions from the results.

How tall are the students in my class and How much do the students on the football team weigh represent statistical questions because they involve collecting data on a characteristic or variable of a population, such as height or weight.
These questions can be answered through data analysis and provide information on the variability or distribution of the characteristic in the population.

Hence, Option B does not represent a statistical question because it asks for a fixed quantity, i.e., the number of hours per week someone practices sports, which does not involve variability or differences among data.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ2

Please help me I don’t understand this

Answers

Answer:

V/pi^2 = h

Here is your answer my dear friend-

C. r^2 = Vpi h

HELP PLEASE I REALLY NEED IT!

Answers

Answer:

Step-by-step explanation:

ZTU = 75, since RTS and ZTU are vertical angles, and RTS = 75.

TZU = 43, since TZU and QZX are vertical angles, and QZX = 43.

ZUT = 180 - ZTU - TZU = 180 - 75 - 43 = 62, since triangle ZUT is shown in the diagram, and the sum of its interior angles = 180.

YUW = 180 - 79 - 62 = 39, since TUW is a straight angle, which measures 180 degrees, and angle TUW is the sum of angle ZUY and angle ZUT and angle YUW, by the diagram.

YVU = 180 - ZUY - YUW = 180 - 68 - 39 = 73, since triangle YUV is shown in the diagram, and the sum of its interior angles = 180.

YVW = 180 - YVU = 180 - 73 = 107, since YVW and YVU are supplementary.

Given j ∥ k and m∠2=100° .

What is m∠5 ?

Enter your answer in the box.

Answers

Answer:

∠5 = 80

Step-by-step explanation:

∠4 =  ∠2         {Corresponding angles are equal}

∠4 = 100

∠5 + ∠4 = 180 {linear pair}

∠5 + 100 = 180

          ∠5 = 180 - 100

         ∠5 = 80

PPL PLZ HELP!! I WILL GIVE BRAINILEST!!!

Answers

Step-by-step explanation:

to find the answer, you want to convert the fractions into decimals.

to do that, you need to divide 1 by the denominato then multiply by the numerator.

ex: 3/4

1÷4=0.25

0.25×3= 0.75

That will give you an idea where to put it in the number line.

hope it helped

Ben gets $50 per day as wages and $6.00 as commission for every book he sells in a day. His daily earnings goal is $140.
Using the equation constructed in previous question, solve for the
number of books he must sell to meet his daily earnings goal.


Answers

$140 = $6 per book • x books + $50

Subtract $50 from $140 and you get:
$90 = $6 per book • x books

Divide $90 by $6 per book:
And you get x = 15 books

Answer:

the basic wage is 50$

the extra to get 140$ is 90$(140-50)

.............

as for 1 book he get 6$

so for ? book he get 90$

then ? =(90$*1)/6$= 15 book

that's it hope i helped.

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