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)
Answer:
You would do it faster
Step-by-step explanation:
48/3 is 16 minutes per bag
28/2 is 14 minutes per bag
Answer: 20 cm
If quadrilaterals WXYZ and BADC are congruent, then their corresponding sides are congruent.
Given that
WX≅DC,
XY≅BC,
you can state that
YZ≅AB,
WZ≅AD.
If AD = 4 cm and AB = 6 cm, then WZ = 4 cm and YZ = 6 cm. Opposite rectangle sides are congruent, then XY = 4 cm and WX = 6 cm.
The perimeter of WXYZ is
P = WX + XY + YZ + WZ = 6 + 4 + 6 + 4 = 20 cm.
Answer:
$0.15
Step-by-step explanation:
To solve this problem, we apply the Range rule for estimating Standard deviation.
By the Range Rule:
Standard Deviation
Highest weekly average price for gasoline= $3.15 per gallon.
Lowest weekly average price for gasoline =$2.56 per gallon.
Therefore:
The standard deviation of the weekly average price for gasoline is approximately $0.15.
NOTE: You divide by 4 not 6.
x - 1 x + 1
------ = --------------
x + 3 x + 6
if x = 9
8/ 12 = 10/15
12 (10) = 8(15)
120 = 120
so
answer is 9 (last choice)
