Answer:
Option C (72)
Step-by-step explanation:
In the figure attached we can see a rectangle ABCD with length 12 cm and width 9 cm.
A triangle PEF with height BE and base EF.
Since side AE = 3 cm, so side EB = EC = 9 - 3 = 6cm
and EF = AD = 12 cm
Now we will find the area of of the parts of the card that are not shaded.
Area of parts that are not shaded = Area of rectangle - area of shaded triangle
= (12×9) -
= 108 -
Option c) 72 cm² is the area of non shaded part.
Hope this helps!! -Mina
Answer:

Step-by-step explanation:
Hi!
Lets call:
T = temprature of the object
T₀ = temperature of surroundings
t = time
The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:

In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:

Setting it up, we have Dan + Bret + Maria all saving 600.00
Dan = 2B
Bret = B
Maria = B+60
2B + B + B + 60 = 600
4B = 540
B = 135
Dan = 2(135) = 270
Brett = 135
Maria = 135 + 60 = 195
((800+100+400+35)÷3,250)×100
=41%
Convert to vertex form
or easier
for y=ax²+bx+c
the x value of the vertex is

and the y value is found by subsituting the x value in for x
so
y=1x²+4x+11
a=1
b=4
the x value of the vertex is

the y value is found by subsituting -2 for x
y=(-2)²+4(-2)+11
y=4-8+11
y=7
the vertex is (-2,7)