Answer:
Step-by-step explanation:
Since it is a square, all four sides are equal and its perimeter is just
P=4s, so if P=8 then
4s=8, dividing each side by 4 we get
s=2
So each side of the plastic square is 2 centimeters.
Answer:
-4/5
Step-by-step explanation:
To find the slope of the tangent to the equation at any point we must differentiate the equation.
x^3y+y^2-x^2=5
3x^2y+x^3y'+2yy'-2x=0
Gather terms with y' on one side and terms without on opposing side.
x^3y'+2yy'=2x-3x^2y
Factor left side
y'(x^3+2y)=2x-3x^2y
Divide both sides by (x^3+2y)
y'=(2x-3x^2y)/(x^3+2y)
y' is the slope any tangent to the given equation at point (x,y).
Plug in (2,1):
y'=(2(2)-3(2)^2(1))/((2)^3+2(1))
Simplify:
y'=(4-12)/(8+2)
y'=-8/10
y'=-4/5
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
5.9 is what your answer should be! :) Hope this helps! :)
Answer:
T(h) = 20 - 3h
Step-by-step explanation:
We are told that for every km you go up, the temp goes down 3°.
Let's say you go up 1km, then the temp should be 17°. We can easily represent it by the equation: T(h) = 20 - 3h
If we go up 1km: T(1) = 20 - 3*(1) = 20 - 3 = 17°
If we go up 2km: T(2) = 20 - 3*(2) = 20 - 6 = 14°
If we go up 3km: T(3) = 20 - 3*(3) = 20 - 9 = 11°
