Answer:
f(x) = -(x-4)^2 + 5
Step-by-step explanation:
The function 
is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.
Proving that 
for all x:
∠G would be congruent to ∠J
∠B would be congruent to ∠K
∠P would be congruent to ∠Y
Hope this helps :)
There would be 12 girls and 18 boys. Since the ratio is 2:3, there are 5 parts total (2+3=5) With 30 students, each part equals 6 students (30/5=6) Therefore the two parts that are girls would be 6 x 2, or 12 students, leaving the remainder of students, 18, to be boys
You can't make a triangle with those lengths for sides.
The way I look at it is like this:
-- Take 2 sticks ... lengths 4 and 2 ... and connect them together at one end.
-- The farthest they can reach, if they're opened up completely and pointing
in opposite directions, is a distance of 6 .
-- They can't reach the ends of a stick that is 7 long. So you can't make
a triangle with those 3 sticks.
Answer:
1. Yes
2. No
2. Yes
4. Yes
5. Yes
Step-by-step explanation:
The angles in the first pair are congruent and 40° each (XYZ and XYW are complementary)
Segment FG is 4 cm while segment DE is 6 cm so they are not congruent
As shown on the figure both segment OR and segment OS is 2 in. long
Angle 2 and angle 4 are congruent
Angle ROQ and angle ROP are congruent because all angles shown on the figure has a measure of 90°
