Answer:
The coordinates of the science lab is:
x = -14/3 , y = 1
Step-by-step explanation:
∵ P is (-8 , -1) and Q is (2 , 5)
∵ The point of the science lab is (x , y)
∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)
∴
∴
∴
∴
∴ The point of science lab = (-14/3 , 1)
Answer:
Step-by-step explanation:
This is a separable equation with an initial value i.e. y(3)=1.
Take y from right hand side and divide to left hand side ;Take dx from left hand side and multiply to right hand side:
Take t as a dummy variable, integrate both sides with respect to "t" and substituting x=t (e.g. dx=dt):
Integrate on both sides:
Use initial condition i.e. y(3) = 1:
Taking exponents on both sides to remove "ln":
Answer:
V = 160mph
Step-by-step explanation:
We need to start from the formula of speed: V=d/t
We have two travels, with and against the wind, both done in the same time.
Clearing t from the formula, we will have: t=d/V2
450miles/V-35mph (speed of the wind is subtracted)
702miles/V+35mph (speed of the wind is subtracted)
Now, we find V:
450miles/V-35mph = 702miles/V+35
450*V+35 = 702*V-35
450V+15,750 = 702V-24,570
702V-450V = 15,750 + 24,570
252V = 40,320
V = 40,320/252
V = 160mph
Step-by-step explanation:
you only need to provide an example ?
if your question here is complete, then the full set is
{1,7,8}
and these are all possible subsets (pick any one you like) :
{1}, {7}, {8}, {1,7}, {1,8}, {7,8}
and formally also
{}, {1,7,8}
the empty set is a subset of every set, and the whole set itself is also formally a subset.