Answer:
y = -1/2x + 4
Step-by-step explanation:
You can see that the slope is -1/2 because of the rise over run.
It also crosses the y axis at 4,
so it is y = -1/2x + 4
Answer:
The shaded area is 
Step-by-step explanation:
we know that
The shaded area is equal to the area of the large square minus the area of the two smaller squares
so

Calculate the shaded area
Remember that

substitute

Answer:
The dependent variable is the shoe size
Step-by-step explanation:
Answer:
in
Step-by-step explanation:
Let x be the side of square.
Length of box=8-2x
Width of box=15-2x
Height of box=x
Volume of box=
Substitute the values then we get
Volume of box=V(x)=


Differentiate w.r.t x









Again differentiate w.r.t x

Substitute x=6

Substitute x=5/3

Hence, the volume is maximum at x=
Therefore, the side of the square ,
in cutout that gives the box the largest possible volume.
Answer:
C. 96°
Step-by-step explanation:
m<AME = 48° is an inscribed angle
Arc AT = intercepts arc
Based on the inscribed angles theorem, we have:
m<AME = ½(arc AT)
48° = ½(arc AT)
Multiply both sides by 2
48° × 2 = ½(arc AT) × 2
96° = arc AT
Arc AT = 96°