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
igomit [66]
3 years ago
13

What is the equation of a line that is parallel to -2x+3y=-6 and passes through the point (-2,0)

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0
First, a line that is parallel, means a line that has the same slope as the original. To find the slope of the original equation, we have to solve for y.
-2x+3y=-6
3y=2x-6
y=2/3x-2
From this equation, we can see that the slope of the line is 2/3. For every 2 units you go up, you move three units over.

Now we need to use the point (-2,0) to find the equation of the parallel line. 
y-y=m(x-x)

Plug in the point coordinates and the slope, and solve for the final equation of the line.
y-0=2/3(x+2)
y=2/3x+ 4/3
You might be interested in
William has a pair of identical number cubes. the faces of each cube are numbered 1 through 6. william will roll the cubes one t
Angelina_Jolie [31]
The chances will be : 3 and 6 and 4 and 5
The probability of getting a sum of 9 would be 2/9
5 0
3 years ago
Read 2 more answers
What is (5+3)+7=5+(3+7) is it Associative, Identity, Commutative or Substitution?
timama [110]

Answer:

Associative  

Step-by-step explanation:

The associative property of addition states that you can add numbers however they are grouped inside parentheses.  

It doesn't matter where you put the parentheses. You will always get the same answer.

For example,

\begin{array}{rcl}(5 + 3) + 7 & = & 5 + (3 + 7)\\8 + 7& = & 5 + 10\\15 & = & 15\\\end{array}

4 0
3 years ago
Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were millio
JulijaS [17]

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

Initial =1\ million

6\ years\ later = 500,000

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

\frac{dA}{dt} = kA

Where k represents the constant of proportionality

\frac{dA}{dt} = kA

Multiply both sides by dt/A

\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}

\frac{dA}{A}  = k\ dt

Integrate both sides

\int\ {\frac{dA}{A}  = \int\ {k\ dt}

ln\ A = kt + lnC

Make A, the subject

A = Ce^{kt}

t = 0\ when\ A =1\ million i.e. At initial

So, we have:

A = Ce^{kt}

1000000 = Ce^{k*0}

1000000 = Ce^{0}

1000000 = C*1

1000000 = C

C =1000000

Substitute C =1000000 in A = Ce^{kt}

A = 1000000e^{kt}

To solve for k;

6\ years\ later = 500,000

i.e.

t = 6\ A = 500000

So:

500000= 1000000e^{k*6}

Divide both sides by 1000000

0.5= e^{k*6}

Take natural logarithm (ln) of both sides

ln(0.5) = ln(e^{k*6})

ln(0.5) = k*6

Solve for k

k = \frac{ln(0.5)}{6}

k = \frac{-0.693}{6}

k = -0.1155

Recall that:

\frac{dA}{dt} = kA

Where

\frac{dA}{dt} = Rate

So, when

A = 600000

The rate is:

\frac{dA}{dt} = -0.1155 * 600000

\frac{dA}{dt} = -69300

<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>

7 0
2 years ago
Solve for a = ____.<br><br> 1. 6<br> 2. 4<br> 3. 9
garik1379 [7]
The answer is 3, or 9
8 0
3 years ago
PLEASE HELP!!!!!!!!!!
Montano1993 [528]
X is equal 25 degrees. Line ac goes though the parallel lines. So bcd is x. Cdb is 180-50 equals 130. All angles add to 180. 180-130 equals 2X. So x equals 25.
5 0
2 years ago
Other questions:
  • F(n)=n^2+2n find f(-6)
    8·1 answer
  • How do you find the volume of a prism?
    10·1 answer
  • Y=x2+6x+2 in vertex form
    6·1 answer
  • Which expression is equivalent to (01.05 LC) 3 to the 2 power 3 to the -5 power
    15·1 answer
  • g The tangent plane to z=f(x,y) at the point (1,2) is z=5x+2y−10. (a) Find fx(1,2) and fy(1,2). fx(1,2)= Number fy(1,2)= Number
    14·1 answer
  • Skyler leased a car for 36 months. Her contract said she can drive 5,000 miles per year
    9·1 answer
  • What inequality is represented by this graph? 12 2 3 0128 o a 128​
    5·1 answer
  • Imal ikoga iz Bosne?​
    15·2 answers
  • PLEASE HELP <br> which is equivalent??
    15·1 answer
  • two bicycle riders start a race at the same time. the function f(x) and g(x) give the distance in miles that each rider has trav
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!