A triangle has two sides of lengths 4 and 7. What value could the length of the third side be? Check all that apply. A. 5 B. 3 c. 7 D. 9 E. 17 F. 11

C. 7 D. 9

Step-by-step explanation:

Given

Required

Determine possible length for the third side

Represent the third side with x

The relationship between all sides of the triangle is:

Next, we solve for x in the above inequalities

Discard results with negative.

So, we have:

and

Rewrite as:

and

Combine inequalities

From the above, the possible values of x are: 4 to 10.

Hence: C. 7 D. 9 are true

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: