Answer:
Step-by-step explanation:
A=2B
AreaA= Area of a rectangle=Base* height = base (12-x)*height(4) = 48-4x
AreaB = Area of rectangle=base(x) *Height(x) =x^2
Since A=2B
48-4x =2x^2
Divide both sides of the equation by 2
24-2x=x^2
Put everything all on one side
X^2-2x-24=0
(x+4)(x-6)=0
X=-4 and x=6
Only x makes sense since it’s not negative or else your base or one of your sides would be negative
So x=6
Answer:
45
Step-by-step explanation:
The different pairs of individual can be computed using rule of combination.
The combination is denotes as nCr.
nCr=n!/(r!(n-r)!)
In the given problem n=total candidates=10 and r= Selected candidates=2.
10C2=10!/(2!(10-2)!)
10C2=10*9*8!/(2!8!)
10C2=90/2
10C2=45
So, 45 different pairs of individuals can be selected.
Answer:
a) distance traveled is 16 miles.
b) distance traveled is 40 miles.
Step-by-step explanation:
Speed is a scalar quantity which describe the rate of distance moved with time.
i.e speed = 
Given that: distance = 2 1/3 miles =
miles, time = 3 1/2 minutes =
minutes.
Then;
speed =
÷ 
=
x 
= 
The car's steady speed is 0.67 miles per minute.
a) when the time is 24 minutes, the distance covered can be determine by:
distance = speed x time
=
x 24
= 16
distance traveled is 16 miles.
b) When the time is 1 hour (60 minutes), the distance traveled can be determined by:
distance = speed x time
=
x 60
= 40
distance traveled is 40 miles.
Answer:
x-axis
Step-by-step explanation:
The asymptote is a straight line that the curve gets closer and closer to but never touches it.
The given exponential function is
.
The given graph has a horizontal asymptote,
The equation of this horizontal asymptote is y=0.
This is also refers to as the x-axis.
Therefore the asymptote is the x-axis.