The answer is -15x + 6= -9x
The equation of line is: 
as the y-intercept is zero
Step-by-step explanation:
Given
(-2,3)
Equation of line => 3x+2y=6
Converting the equation in slope intercept form
The co-efiicient of x is the slope of the fiven line
So,
m=-3/2
The line parallel to given line will have the same slope as slopes of two parallel lines are equal
Now,
Slope-intercept form is:
Putting the value of slope
to find the value of b, put (-2,3) in the equation
Putting the value of b and m
Hence,
The equation of line is: as the y-intercept is zero
Keywords: Slope-intercept form, Slope
Learn more about slope-intercept form at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
let side of cube=x cm
volume=x³ cm³
again side=(x-3) cm
volume=(x-3)³ cm³
x³-(x-3)³=1385
(a³-b³)=(a-b)(a²+ab+b²)
(x-x+3){x²+x(x-3)+(x-3)²}=1385
3(x^2+x²-3x+x²-6x+9)=1385
3(3x²-9x+9)=1385
9x²-27x+27=1385
9x²-27x+27-1385=0
9x²-27x-1358=0
Let us first find the equation for the distance as a function of time in the form:
d=mx+b
m=(d2-d1)/(x2-x1)
m=(2160-2700)/(1-0)
m=-540
d=-540x+b, using point (0,2700) we can solve for b
2700=-540(0)+b
2700=b so
d(x)=-540x+2700
A) The y-intercept is the constant of our distance function (the distance when x, time, equals zero). In this case d=2700 is the y-intercept. This means that the initial distance from the destination was 2700 miles.
B) Since this is just a line and has a constant velocity, its average velocity will just be the constant velocity or slope. But mathematically we could show this to be true. Average velocity is change in distance divided by change in time.
v=(540-2160)/(4-1)
v=-1620/3
v=-540 mph
C)
The domain of a function is the possible x values in the proper context. First time cannot be less than 0. The other extreme for time is when the plane reaches its destination, when d=0, which is when:
-540x+2700=0
540x=2700
x=5.
So the plane reaches its destination after 5 hours. So the domain, the x values, for d=-540x+2700 is
x=[0,5]
Fibonacci saw that every thing could be created with shapes, and that he hoped the world be brighter
