Answer:
12
Step-by-step explanation:
for g(3) replace x with 3 and for f(4) since f(x) is a constant function the value won't change so you put 2 then add both functions up
g(3) = 3^2 + 1 ➡ 10
f(4)= 2
10 + 2 = 12
Answer:
The length of the longer leg is 6.24 cm.
Step-by-step explanation:
Here, the length of the hypotenuse = 8 cm
The length of shorten leg ( Base) = 5 cm
Let us assume the length of longer leg (Perpendicular) = k cm
Now, as the given triangle is a right angled triangle.
So, by the PYTHAGORAS THEOREM:

Now,as k is the length of the side, so it cannot be negative.
⇒ k = 6.24 cm
Hence, the length of the longer leg is 6.24 cm.
Answer:
QPR
Step-by-step explanation:
It is triangle QPR because of the order of corresponding angles.
Answer:
Part 1) The ratio of the perimeter of ΔHKO to the perimeter of ΔFGO is 
Part 2) The ratio of the area of ΔKHO to the area of ΔGFO is 
Step-by-step explanation:
Part 1)
we know that
If two figures are similar , then the ratio of its perimeters is equal to the scale factor
In this problem
Triangles HKO and FGO are similar by AAA Theorem
Find the scale factor
The scale factor is equal to the ratio of its corresponding sides

Part 2) Find the ratio of the area of ΔKHO to the area of ΔGFO
Area of ΔKHO

Area of ΔGFO

The ratio of its areas is equal to

Alternative Method
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
In this problem we have that
The scale factor is 
so
squared the scale factor
----> is correct
Y=40x since y intercept is 0 and slope is 40