Answer:
1.2 hours
Step-by-step explanation:
A fills 1/2 tank per hour; B fills 1/3 tank per hour, so together they fill ...
1/2 +1/3 = 3/6 +2/6 = 5/6 . . . . tank per hour
The reciprocal of this rate give the rate in the units we want:
6/5 hours per tank.
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At that rate, it will take 6/5 = 1.2 hours to fill the tank.
-3.5 or -6
2x^2+19x+40=-2
2x^2+19x+40+2=0
2x^2+19x+42=0
2x^2+(12+7)x+42=0
2x^2+12x+7x+42=0
2x(x+6)+7(x+6)=0
(x+6)(2x+7)=0
either,
x+6=0
x=-6
or,
2x+7=0
2x=-7
x=-7/2
x=-3.5
Let L be the length of the ladder,
Given,
x = the distance from the base of the ladder to the wall, and t be time.
y = distance from the base of the ladder to the wall,
So, by the Pythagoras theorem,
,
Differentiating with respect to time (t),
Here,
Also, ( Ladder length = constant ),
Which is the required notation.
Answer: $1.18 per item
9.44/8=$1.18 per item
The point-slope form:
- given point
- given slope
The standard form:
<em>use distributive property</em>
<em>add to both sides</em>
<em>subtract from both sides</em>
<em>change the signs</em>