Answer:
A) 3.5
16 shovels full
Step-by-step explanation:
9x + 13 = 17x - 15
8x = 28
x = 3.5
20 + 5x = 32 + 4.25x
0.75x = 12
x = 16
24/.375 = 64, the answer is no.
A^2+b^2=(a+b) (a-b)
Let a^2=x^2 then a^2= x^2
Let b^2=63 them b^2= 64
b=8
Answer: (x+8) (x-8)
To get the points at which the two boats meet we need to find the equations that model their movement:
Boat A:
vertex form of the equation is given by:
f(x)=a(x-h)^2+k
where:
(h,k) is the vertex, thus plugging our values we shall have:
f(x)=a(x-0)^2+5
f(x)=ax^2+5
when x=-10, y=0 thus
0=100a+5
a=-1/20
thus the equation is:
f(x)=-1/20x^2+5
Boat B
slope=(4-0)/(10+10)=4/20=1/5
thus the equation is:
1/5(x-10)=y-4
y=1/5x+2
thus the points where they met will be at:
1/5x+2=-1/20x^2+5
solving for x we get:
x=-10 or x=6
when x=-10, y=0
when x=6, y=3.2
Answer is (6,3.2)
