Answer:
y = x +
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = , hence
y = x + c ← is the partial equation
to find c substitute (- 2, 11) into the partial equation
11 = - + c ⇒ c =
y = x + ← equation of line
<h2>Greetings!</h2><h3>Firstly, the slope is found by rearranging the formula:</h3>
3y = 4x + 39
y = +
When x is 0, y = 0(x) + , so the y intercept is
<h3>Next, the slope is simply the number in front of the x, </h3>
So can be rearranged to , so the slope would be .
<h2>Hope this helps!</h2>
Answer:
Ok, we have a system of equations:
6*x + 3*y = 6*x*y
2*x + 4*y = 5*x*y
First, we want to isolate one of the variables,
As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:
(6*x + 3*y)/(2*x + 4*y) = 6/5
now we isolate one off the variables:
6*x + 3*y = (6/5)*(2*x + 4*y) = (12/5)*x + (24/5)*y
x*(6 - 12/5) = y*(24/5 - 3)
x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y
Now we can replace it in the first equation:
6*x + 3*y = 6*x*y
6*(0.5*y) + 3*y = 6*(0.5*y)*y
3*y + 3*y = 3*y^2
3*y^2 - 6*y = 0
Now we can find the solutions of that quadratic equation as:
So we have two solutions
y = 0
y = 2.
Suppose that we select the solution y = 0
Then, using one of the equations we can find the value of x:
2*x + 4*0 = 5*x*0
2*x = 0
x = 0
(0, 0) is a solution
if we select the other solution, y = 2.
2*x + 4*2 = 5*x*2
2*x + 8 = 10*x
8 = (10 - 2)*x = 8x
x = 1.
(1, 2) is other solution
ANSWER
114.52 meters per second
EXPLANATION
We have that the car covers a distance of 5726 meters in 50 seconds.
To find the speed, we have to use the formula for speed which is:
So, the unit rate of speed of the car is:
That is the unit rate of speed of the car in meters per second.
Answer:
The submarine is 15 feet below sea level.
Step-by-step explanation: