Answer:
Step-by-step explanation:
Given that:
This implies that the level curves of a function(f) of two variables relates with the curves with equation f(x,y) = c
here c is the constant.
By cross multiply
From (2); let assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.
Now,
This is the equation for the family of the eclipses centred at (0,0) is :
Therefore; the level of the curves are all the eclipses with the major axis:
and a minor axis 
which satisfies the values for which 0< c < 100.
The sketch of the level curves can be see in the attached image below.
Answer:
14
Step-by-step explanation:
because the side length are 5 and 5 and 4 which is 14.
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Answer:
115
Step-by-step explanation:
A supplementary line equals 180
You have to subtract 65 by 180
which gives you 115
Answer:
V1 = 60 km/h
V2 = 40 Km/h
Step-by-step explanation:
The speed of an object is defined as
Speed = distance / time
Let
V1 be the speed of the faster car
V2 be the speed of the other car
t1 the time it took for the first car to arrive
t2 the time it took for the second car to arrive
d1 the distance traveled by first car
d2 the distance traveled by second car
We know thanks to the problem that
V1 = V2 + 20 Km/h
t1 = t2 - 1 hour
d1 = d2 = 120 Km
d1 = V1 * t1
d2 = V2* t2
V1 * t1 = V2* t2
V1* t1 = (V1 -20)*(t1 +1)
The system of equations
(V1 -20)*(t1 +1) = 120
V1 * t1 = 120
120 + (120/t1) -20*t1 = 140
(120/t1) -20*t1 = 20
Which gives,
t1 = 2
This means
V1 = 60 km/h
V2 = V1 - 20 Km/h = 40 Km/h
Answer:
Step-by-step explanation:
