Answer:

Step-by-step explanation:
we know that
The <u><em>Midpoint Theorem</em></u> states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side
In this problem segment XY join the midpoints of side EF and side GF of triangle EFG
so
applying the midpoint theorem

we have

substitute

solve for GE

Answer:
20
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = 3x² - 2 + 4x + 2 = 3x² + 4x
Substitute x = 2 into f(x) + g(x)
(f + g)(2) = 3(2)² + 4(2) = (3 × 4) + 8 = 12 + 8 = 20
Answer:
1
Step-by-step explanation:
move up one and over one, 1/1 = 1
Answer:
sqrt(146)
Step-by-step explanation:
The distance between these two points can be the hypotenuse of our right triangle.
We can create a right triangle with two legs of length 11 and 5. To solve for the hypotenuse, we apply the pythagorean theorem
sqrt(5^2+11^2)=sqrt(146)
I attached a graph to help you visualize the triangle and how it works.
Option C: -3 is the average rate of change between
and 
Explanation:
The formula to determine the average rate of change is given by
Average rate of change = 
We need to find the average rate of change between
and 
Thus, from the table, we have,
, 
, 
Thus, substituting these values in the formula, we get,
Average rate of change = 


Thus, the average rate of change between
and
is -3.
Hence, Option C is the correct answer.