Answer:
The third side must be smaller than 20 inches and greater than 4 inches

Step-by-step explanation:
Let a, b and c be the lengths of triangle's sides. Then

Use this rule in your case. So, if a=12 and b=8, then

Hence, you get

From these inequalities, you can state that

So, c must be smaller than 20 inches and greater than 4 inches.
Answer with Step-by-step explanation:
We are given that an equation of curve

We have to find the equation of tangent line to the given curve at point 
By using implicit differentiation, differentiate w.r.t x
Using formula :



Substitute the value x=
Then, we get


Slope of tangent=m=
Equation of tangent line with slope m and passing through the point
is given by

Substitute the values then we get
The equation of tangent line is given by




This is required equation of tangent line to the given curve at given point.
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Answer is A, different slopes
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Answer:
No. It is not.
Step-by-step explanation:
Dividing 5x³+21x²-40x-15 by 5x+4 gives x²+5x-4 with a remainder. Which means, 5x+4 is not a factor of 5x³+21x²-40x-15