X² + x¹ 11+1
--------- =. ------= 6
2. 2
y² + y¹. 5+(-3).
-------- = ---------- = 1
2. 2
So the midpoint is a) (6,1)
#1)
The area of the rectangular section in the middle is given by 15(12)=180ft².
The area to the right can be broken into a rectangle, whose area is 8(10)=80ft², and a triangle, whose area is (1/2)(5)(8)=20ft².
The area to the left can be represented as a rectangle minus a triangular area. The dimensions of the complete rectangle would be 15(5)=75ft². However it is missing a triangle at the top whose area would be (1/2)(5)(5)=12.5ft². Thus we have 180+80+20+75-12.5=242.5ft².
#2)
The area of the weight room is given by 28(30)=840ft². The area of the Dance Studio is given by 33(42)=1386. There is a corner that is counted twice, however. The area of this corner is 14(14)=196ft². Our total area is then 840+1386-196=2030ft².
Answer:
x 
12
[12,∞]
Step-by-step explanation:
First I'll make the assumption that you mean
4x+5
f(x) = ------------
x+4
and then set this function = to 25/9:
4x+5 25
f(x) = ------------ = ------
x+4 9
Solve for x: Cross-multiplying, we get 36x + 45 = 25x + 100.
Consolidating like terms, we get 11x = 55. Thus, x = 5.
Answer:
B
Step-by-step explanation:
