Y=mx+c
m= -5
Just substitute the values of the point into the equation to find c
-17=-5 x 4 +b
-70+20+b
3=b
y=-5x+3
Hope I helped :)
Answer:
Step-by-step explanation:
10. From the given figure,
11. From the given figure,
and
12. The sides of an equilateral triangle has length=10 inches, therefore AB=BC=AC=10
Also, AD is the height of the given triangle,then BD=DC=5
From triangle ADC,
Hence, height of the triangle is
13. Height of the ramp from the ground is 8ft.
therefore, let BC=x
14. Let BC=x and AB=y
then,
and
The perimeter of triangle is=Sum of all the sides=AB+BC+AC=
15. Let AB be the height of the tree, then
16. According to question,
What is parallel to 2x+5y=8 is B. I am not sure with D because its actually the same with the given equation.
Hope that helps
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]