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:
D. 17.3
Step-by-step explanation:
50=3x-2
52=3x
x=17.333
D
To solve the exercirses which are shown in the figure attached, you must follow the proccedure below:
7) (x)=x³-6x²+8x
(x)=x(x³-6x²+8)
(x)=(x-4)(x-2)x
The lenght is: x
The height is= (x-4)
8) √(2x+8)-6=4
1. You need to clear the variable "x". Then:
√(2x+8)=4+6
√(2x+8)=10
(√2x+8)²=10²
2x+8=100
2x=100-8
x=92/2
x=46
9) l4x+3l=9+2x
1. To solve the left member, you must evaluate two cases: it could be positive,or negative. Then:
2. Negative:
l4x+3l=9+2x
-4x-3=9+2x
-4x-2x=9+3
-6x=12
x=12/-6
x=-2
3. Positive:
l4x+3l=9+2x
4x+3=9+2x
4x-2x=9-3
2x=6
x=6/2
x=3
We can check this by seeing if Pythagorean's theorem applies. The longest side is the hypotenuse, so let's see if this is true:


This is, indeed correct, thus, this
<em>is </em><em>
a right triangle.</em>
Answer:
C. it is not a function
Step-by-step explanation:
It fails the horizontal and vertical line test.
To pass the horizontal line test [injective]: must not hit a horizontal line passing through more than once.
To pass the vertical line test [function]: must not hit a vertical line passing through more than once.