All real numbers
7w-(2+w) = 2(3w-1)
Expand
7w-(2+w)= 6w-2
7w-2-w=6w-2
Group like terms
6w-2=6w-2
Add 2 to both sides
6w=6w
subtract 6w from both sides
0=0
True for all w
Answer:
(x + 3)(x + 5)
Step-by-step explanation:
The given expression is x^2 +8x + 15
Now find the factor of 15 such that when you add the factors, we have to get 8
The right factors of 15.
5 * 3 = 15
5 + 3 = 8
The right factors are 3 and 5.
x^2 + 8x + 15 = (x + 3)(x + 5)
Therefore, x^2 + 8x + 15 = (x + 3)(x + 5)
Thank you.
Angle TVU = 1/2 (120 - 12) = 108/2 = 56°
Therefore, the correct answer is D.
Answer:
Square root of 3
Step-by-step explanation:
Large sphere's radius = R,
small sphere's radius = r, R = 8r
surface area of a sphere (SA) = 4×pi×radius^2
So what we need is the SA of the larger in terms of the smaller sphere, so if:
SA (of R) = 4×pi×R^2, then plug in "8r" for "R"...
SA = 4×pi×(8r)^2 = 4×3.14×64r^2
SA = 12.57×64r^2 = 804 r^2
Therefore the SA of the larger sphere is 804 times the SA of the smaller sphere.
I hope that makes sense!
