Answer:
![x^3-3x^2+3x-1](https://tex.z-dn.net/?f=x%5E3-3x%5E2%2B3x-1)
Step-by-step explanation:
the volume of a cube is the side length cubed, which in this case is
, which simplifies to
.
Answer:
15
Step-by-step explanation:
Let's call Leah's age l and Rachel's age r. We can write:
l = 3r - 2 (1)
l + 3 = 2(r + 3) + 7 (2)
Substituting (1) into (2) we get:
(3r - 2) + 3 = 2(r + 3) + 7
3r + 1 = 2r + 13
r = 12
In 3 years Rachel will be 12 + 3 = 15 years old.
Answer:
Step-by-step explanation:
(x+6)(x+3)=9+(x+1)
= x^2+3x+6x+18
=x^2+9x+18=9(x+1)
=x^2+9x+18=9x+9
tbs = to both sides
(-9x tbs)= 9x-9x=0 so x^2+18=9
(-18tbs) = x^2=9-18 becomes x^2=-9
x=
Based on the given data, the following formula will be useful;
Area of the base, A = pi*r^2
Lateral Area, A(l) = pi*r*sqrt of h^2 + r^2
Surface Area, A(s) = pi*r*(r+sqrt of h^2 + r^2)
Based on the given area of the base, the radius can be calculated and is equal to 3.9088 in. Based on the given lateral area, the h or the lateral edge can be calculated and is equal to 7.8785 in. Given all the information needed, and directly substituting to the above formula for surface area, SA is equal to 156 in^2 (option D)
(0,6) is on the y-axis. (5,-2) is on the 4th quadrant. (-1,10) is on the 2nd quadrant. (-1/4, -6*1/2) is on the 3rd quadrant. (5,0) is on the x axis. (8.7,2.3) is on the 1rst quadrant