In your lab, a substance's temperature has been observed to follow the function t(x) = (x + 5) + 9. the turning point of the graph is where the substance
changes from a solid to a liquid. using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function.
hint: the turning point of the graph is similar to the vertex of a quadratic function.

2, 2, 2 or -4, 20, 29

step-by-step explanation:

there is two ways you can do it.

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough