15b+18=30+3b
15b=30+3b-18
15b=3b+12
15b-3b=12
12b=12
B=1
If we let x be the speed of the boat you are taking to the island (the steamboat), then we know that the speed of the other boat (the tall ship) is 10 knots less than the steamboat's. So the speed of the tall ship (for the return trip) is (x - 10) knots.
Answer:
y=1/4x-7; can't put graph on here
Step-by-step explanation:
m=y2-y1/x2-x1
m=-8+6/-4-4=-2/-8=1/4
put it in point-slope form with (4,-6) as the base
y-y1=m(x-x1)
y+6=1/4(x-4)
y+6=1/4x-1
y=1/4x-7
Answer:
To get the x-intercept we need the equation of the parabola;
the vertex form of the equation is given by:
y=a(x-h)^2+k
where:
(2,13) is the vertex:
Therefore;
y=a(x-2)^2+13
when x=0, y=5
Therefore the value of a will be:
5=a(0-2)^2+13
5-13=4a
4a=-8
a=-2
therefore the equation of the parabola will be:
y=-2(x-2)^2+13
y=-2x^2+8x+5
the x-intercept will be:
x=2-sqrt(7.5)
or
x=2+sqrt(7.5)
Step-by-step explanation:
