1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrew [12]
3 years ago
10

Write an equation in slope-intercept form of the line that passes through the point (-2,1) and is perpendicular to the equation

3x 18y=4
Mathematics
1 answer:
blondinia [14]3 years ago
5 0
Let's convert the equation into slope-intercept form.

3x + 18y = 4
Subtract 3x from both sides.
18y= -3x + 4
Divide both sides by 18.
y = -3/18x + 4/18
Simplify.
y = -1/6x + 2/9

To make a line perpendicular, we need the slope to be the reciprocal of the other. Flip the denominator and numerator, and change the sign. We also have to change the b to make the line go through (-2, 1)

-1/6 to +6/1, or 6.

y = 6x + b

Input the x and y values and solve for b.

1 = 6(-2) + b
1 = -12 + b
Add 12 to both sides.
13 = b

y = 6x + 13
You might be interested in
By rounding to 1 significant figure, estimate<br> 22.4 x 49.8
seropon [69]
Answer is 1115,5
here is how

5 0
3 years ago
Read 2 more answers
goldie's pizza place is known throughout the city. The small Baby Bear pizza has a radius of 6 inches and sells for $10. Mama Be
shutvik [7]
\bf \textit{circumference of a circle}\\\\&#10;C=2\pi r\qquad r=radius=\frac{diameter}{2}\\\\&#10;-----------------------------\\\\&#10;&#10;\begin{array}{lcccclllll}&#10;&radius&\$&Cmfc&\frac{Cmfc}{\$}\\&#10;&---&---&-----&-----\\&#10;\textit{Baby Bear}&6&10&2\pi \cdot 6&\frac{2\pi \cdot 6}{10}\\\\&#10;\textit{Mama Bear}&8&12.50&2\pi \cdot 8&\frac{2\pi \cdot 8}{12.50}\\\\&#10;\textit{Papa Bear}&&#10;\begin{array}{llll}&#10;diameter=18\\&#10;radius=\frac{18}{2}=9&#10;\end{array}&17&2\pi \cdot 9&\frac{2\pi \cdot 9}{17}&#10;\end{array}

notice, Papa Bear is 18inches in diameter, but radius is half that

and "edge per dollar" simply means, how much circumference per dollar
or \bf \cfrac{Cmfc}{\$}

3 0
3 years ago
Read 2 more answers
the area of a mirror is 225 square inches and its width is 13 3/4 inches. Will the mirror fit in a space that is 15 inches by 16
Tems11 [23]
A = 225 in^2
W = 13.75

15x16 = 240 in^2

240/13.75 = 17.45 in

the mirror would not fit in a space that is 15 by 16 inches since its approximately 13 by 17 inches
6 0
3 years ago
Find the volume of the cylinder.<br> Either enter an exact answer in terms of π or use 3.14 for π
adelina 88 [10]
First you have to use the formula which is r to the second times height times pi
You would do 4 times 2 equals 8 then multiply 8 times 10 equals 80 then multiply that answer times 3.14 then your answer is 251.2
3 0
3 years ago
The graph below represents an employee's earnings based on units sold. What can be interpreted from the slope of this graph?
Vesna [10]

Answer:

A

Step-by-step explanation:

<u />

From inspection of the graph, we can see that every time the x-value increases by 10, the y-value increases by 1000.

So, the employee earns an additional $1000 for every 10 units sold.

To calculate how much the employee earns for every 1 unit sold, divide $1000 by 10:

1000 ÷ 10 = 100

Therefore, the employee earns an additional $100 for every one unit sold.

<u />

<u>Proof</u>

This can be proved by calculating the slope (gradient) of the graph:

\sf slope=\dfrac{y_2-y_1}{x_2-x_1}

where \sf (x_1,y_1) and \sf (x_2,y_2) are two points on the line

When picking the two points, remember that the <u>y-values are in </u><u><em>thousands</em></u><u> </u><u>of dollars.</u>

<u />

Two points on the line:

(0, 30000) and (20, 32000)

Substituting these into the formula:

\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100

Therefore, the employee earns an additional $100 for every one unit sold.

7 0
2 years ago
Other questions:
  • Can you solve this
    8·2 answers
  • A giraffe can run up to 46.93 ft. per second. How far could a giraffe run in 1.8 seconds? Justify your answer
    14·1 answer
  • Solve for the x?????????
    8·1 answer
  • If the lengths of the legs of a right triangle are 5 and 12, what is the length of the hypotenuse?
    7·1 answer
  • Find the volume help ASAP
    6·2 answers
  • What is the quotient of 83.2 /13
    14·1 answer
  • Hello! Please help, thank you
    7·1 answer
  • Solve for b.<br> -11=<br> -47 - 12h
    13·1 answer
  • WHAT IS THE ANSWER OF A VOLUME OF A CYLINDER WITH A DIAMETER OF 6CM AND HEIGHT OF 12CM
    9·1 answer
  • Suppose that the functions p and q are defined as follows. p(x)=x+1<br> q(x)=2x^2-2
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!