24 = 2 · 2 · 2 · 3
36 = 2 · 2 · 3 · 3
GCF(24, 36) = 2 · 2 · 3 = 12
24 = 12 · 2
36 = 12 ·3
24 + 36 = 12 × 2 + 12 × 3 = 12 × (2 + 3)
<h3>Answer: B.</h3>
Answer:
33%
Step-by-step explanation:
The area of the entire circle:
The radius is 4+3+3 = 10
Area of a circle= pi * r^2
Area of largest circle = pi * 10^2 = 100 pi
Area of blue ring = Area of blue circle - area of inner white circle
The blue circle has a radius of (4+3) = 7
The inner white circle had a radius of 4
Substituting what we know
Area of blue ring = Area of blue circle - area of inner white circle
= pi * r^2 - pi*r^2
= pi * 7^2 - pi *4^2
= 49pi - 16pi
= 33 pi
The percentage of the logo that is blue is the blue ring/ area of largest circle
percentage = 33 pi/100 pi
Canceling pi
percentage = 33/100
= 33 %
(f+g)(x)=x^2-36+x^3+2x^2-10
(f+g)(x)=x^3+3x^2-46
Answer:
Step-by-step explanation:
1) 
Altitude = 2
Period = 2pi/(1/2) = 4pi
(since 1/2 is coefficient of x)
Altitude interval = [-4,0]
Domain interval = set of all real numbers
Phase shift = 0
Vertical shift = 2 down
2) y=-4sin(2x+pi/2)-2
Altitude = 4
Period = 2pi/(2) = pi
(since 2 is coefficient of x)
Altitude interval = [-6,2]
Domain interval = set of all real numbers
Phase shift = pi/2
Vertical shift = 2 down
Answer:
x^2 -10x -96 =0
Step-by-step explanation:
Subtract the zeros from x in factors
(x - -6) (x-16)
(x+6) (x-16)
Set these equal to zero since they are zeros
(x+6) (x-16) =0
FOIL
x^2 -16x+6x -96 =0
x^2 -10x -96 =0
