7=x^2+20x+82
0=x^2+20x+75
What adds to 20 and multiplies to 75? 5 and 15.
x^2+5x+15x+75
x(x+5) 15(x+5)
(x+15) (x+5)
Zeroes are x= -5 and x= -15
729. multiple 9 times 9 then 81 times 9 and you get D
1.) D
2.) D
3.) C
4.) C
5.) 56 and 90 I looked for the pattern and followed it.
Get someone else to do 6 I cant
Answer:
Step-by-step explanation:
The question to be solved is the following :
Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if 
. Recall that given two vectors a,b a⊥ b if and only if 
where 
is the dot product defined in 
. Suposse that 
. We want to find γ such that 
. Given that the dot product can be distributed and that it is linear, the following equation is obtained
Recall that 
are both real numbers, so by solving the value of γ, we get that
By construction, this γ is unique if 
, since if there was a 
such that 
, then
Answer:
104 yd^2.
Step-by-step explanation:
Area of the 2 circles = 2 * π r^2
= 2 * π * 4^2
= 32 π yd^2.
Area of the side of the cylinder = 2 π r h
= 2 π * 4 * 9
= 72 π yd^2.
Total surface area = 32 + 72
= 104 yd^2.
