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
katovenus [111]
3 years ago
12

I need help with this math problem. Thanks! axy + by + c = 0 (solve for y)

Mathematics
2 answers:
Feliz [49]3 years ago
8 0

Answer:

axy + by + c = 0 \\ axy + by =  - c \\ y(ax + b) =  - c \\  \boxed{y =  \frac{ - c}{ax + b} }

  • <u>y = -c/(ax+b)</u> is the right answer.
galben [10]3 years ago
5 0

Answer:

\displaystyle y = -\frac{c}{ax+b}

Step-by-step explanation:

We are given the equation:

\displaystyle axy + by + c = 0

And we want to solve it for <em>y</em>.

First, isolate all the <em>y-</em>variables. Subtracting <em>c</em> from both sides yields:

\displaystyle axy + by = -c

We can factor:

\displaystyle y(ax + b) = - c

And divide. Hence:

\displaystyle y = -\frac{c}{ax+b}

In conclusion:

\displaystyle y = -\frac{c}{ax+b}

You might be interested in
What is the point-slope form of the equation of a line that passes through the point (1, 4) and has a slope of −3?
zmey [24]
So y=mx+b
m=slope

y=-3x+b
subsitutue 1 for x and 4 for  y
4=-3(1)+b
4=-3+b
add 3 to both sides
7=b

the equaiton is y=-3x+7
3 0
4 years ago
Which linear inequality is represented by the graph?
Romashka [77]

Answer:

1/3 is the slope and if it’s less than or greater to that, then the bottom half of the graph is shaded in.

7 0
3 years ago
find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 and f(x) = x^2 from [0,2] abou
Neko [114]

Answer:

v =  \frac{32\pi}{3}

or

v=33.52

Step-by-step explanation:

Given

f(x) = 4x - x^2

g(x) = x^2

[a,b] = [0,2]

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx

Integrate

v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx

v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx

Substitute values for a, b, f(x) and g(x)

v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx

Evaluate the exponents

v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx

Simplify like terms

v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx

Factor out 8

v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx

Integrate

v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0

v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0

Substitute 2 and 0 for x, respectively

v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])

v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])

v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ]

v = 8\pi [ \frac{16}{3} - \frac{16}{4} ]

Take LCM

v = 8\pi [ \frac{16*4- 16 * 3}{12}]

v = 8\pi [ \frac{64- 48}{12}]

v = 8\pi * \frac{16}{12}

Simplify

v = 8\pi * \frac{4}{3}

v =  \frac{32\pi}{3}

or

v=\frac{32}{3} * \frac{22}{7}

v=\frac{32*22}{3*7}

v=\frac{704}{21}

v=33.52

8 0
3 years ago
Can someone guide me through this progress?
IgorC [24]
To find the mean you add all the numbers and divide by how many numbers there are so in this case 2+3+4+4+6= 19, there are 5 numbers so divide 19/5
7 0
3 years ago
Mrs. Brown drove 105 miles in 2.5 hours. What was Mrs. Browns speed in miles per hour?
fiasKO [112]

Answer:

42mph.

Step-by-step explanation:

We know that the formula for miles per hour is.

r = d/t

R is our rate or miles per hour.

D is our distance.

T is our time.

In this case our distance is 105 miles.

And our times is 2.5 hours.

Therefore if we substitute them into our formula:

105mi ÷ 2.5hrs = 42mph

Hope this helped!

8 0
3 years ago
Other questions:
  • Find the unknown side length, x. Write your answer in simplest radical form.
    6·1 answer
  • 6f+f(f+2)+3 f*to the 2nd power-4f​
    8·1 answer
  • From a group of 10 people, 5 are selected at random to participate in a game show. In how many ways can the 5 people be selected
    9·2 answers
  • Mark had 312 books. He has 11 times more fiction than nonfiction. How many fiction does he have
    11·1 answer
  • One angle of an octagon is 65º. The<br>others are equal to each other. Find them.​
    12·2 answers
  • PLEASE HELP WILL MARK BRAINLIEST
    10·1 answer
  • When u don’t wanna get off ur couch...
    13·2 answers
  • a solar lease customer built up an excess of 6,500 kilowatts hour (kwh) during the summer using his solar panels. when he turned
    6·1 answer
  • HELPPP WIILLLL MAKR BRAINLIEST IF RIGHTTTT
    9·2 answers
  • Modeling Real Life A person weighs
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!