Answer:
b) Take the current height, and add up 15.
c) y = 80x + 15
where y is the height of the water in the pool, in centimeters
where x is the time since the hose is in the pool, in hours
d) 180 = 80x + 15
165 = 80x
x = 165/80 = 2.0625 hours, which is also 2 hours and 3 minutes.
Answer: <span>(x, y) → (x + 8, y – 3)
Justification:
</span>1) From the figure you can tell that the original trapezoid ABCD was translated 8 units to the right and 3 units down to yield the trapezoid A'B'C'D'.
2) Translating 8 units to the right means: x → x + 8
3) Translating 3 units down means y → y - 3
4) Therefore, the pair (x,y) is transformed into the pair (x + 8, y - 3); that is the rule (x,y) → (x + 8, y - 3)
The derivative of x^3 is 3x^2.... is that what you were looking for?
Answer:
Step-by-step explanation:
A scale factor of 1:3 means that one triangle is 3 times bigger than the other, for example. So, if the small triangle has a perimeter of 27, the big triangle has a perimeter 3 times as big.
Answer:
(7m + 63)/3x = k
Step-by-step explanation:
<em>m=3kx/7 - 9</em>
<u><em>add 9 to both sides:</em></u>
m+ 9 = 3kx/7
<u><em>multiply both sides by 7:</em></u>
7(m+9) = 3kx
<u><em>distribute the 7:</em></u>
7m+63 = 3kx
<u><em>divide both sides by 3x:</em></u>
<u>(7m + 63)/3x = k</u>
