6x-3-9x-2
6x-9x = -3x
-3-2 = -5
the the equation is: -3x-5
Your answer would come down to be 3a^2/b
Answer:
We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.
If the smaller circle has a diameter D, then after the dilation, the larger circle will have a diameter equal to: (5/3)*D
We know that the area of the larger circle is:
A = 100*pi cm^2.
And the area of a circle of diameter d, is:
a = pi*(d/2)^2
knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.
A = pi*( (5/3)*D/2)^2 = 100*pi cm^2
let's solve this for D:
pi*( (5/3)*D/2)^2 = 100*pi cm^2
( (5/3)*D/2)^2 = 100 cm^2
( (5/3)*D/2) = √(100 cm^2) = 10cm
D/2 = (3/5)*10cm
D = 2*(3/5)*10cm = 12cm.
Then the area of the smaller circle will be:
a = pi*(D/2)^2 = pi*(12cm/2)^2 = pi*(6cm)^2 = pi*36 cm^2
and pi = 3.14
a = pi*36 cm^2 = 3.14*36cm^2 = 113.04 cm^2
The red area is the one which solves the system. In fact, we want the area which below both the parabola and the line (since the inequality features a
sign.
So, the point
is below the line but above the parabola (blue area), so it is not a solution.
The point
is above both the line and the parabola (white area), so it is not a solution.
The point
is below both the line and the parabola (red area), so it is a solution.
So, the point
is below the parabola but above the line (green area), so it is not a solution.
Answer:
Step-by-step explanation:
-12-(-8)+(-3)= -12+8-3
=-12+-3+8
= -15+8
= -7