Answer:
6u + 72
Step-by-step explanation:
6(u + 12)
Distribute 6 to u and 12
6(u) + 6(12)
6u + 72
Answer: P = 2x + 2y + 10
Step-by-step explanation: The perimeter (P) of a rectangle is given as
P = 2L + 2W
By factorizing the right hand side of the equation we now have
P = 2(L + W)
However, the length of the rectangle is given as x + 6 and the width is given as y - 1
If P = 2(L + W), then
P = 2(x + 6 + {y - 1} )
P = 2(x + 6 + y -1)
P = 2(x + y + 5)
After expanding the bracket, we now have
P = 2x + 2y + 10
Im assuming the base of the triangle is 4cm. The volume is

.
If the dimensions are tripled, the base is 12, the height is 24, and the length is 18. The volume is

, which is 27 times bigger.
If you are increasing each side by a factor of x, you are multiplying the original by
Answer:
(7/3) x^3 ln x - (7/9) x^3 + c.
Step-by-step explanation:
∫udv = uv - ∫vdu
u = ln x and dv = 7x^2dx so,
du = 1/x and v = 7x^3/3 so:
∫7x^2 ln x = (7x^3/3) ln x - 7 ∫x^3/3 * 1/x dx
= 7/3 x^3 ln x - 7 ∫x^2/3 dx
= 7/3 x^3 ln x - 7/x^3/2 * 1/3 dx
= 7/3 x^3 ln x - 7/9 x^3 + c.