Answer:
Therefore the given vectors are orthogonal for b = 0,±3.
Step-by-step explanation:
If and are two vectors orthogonal, then the dot product of and will be zero.
i.e
If and
Given two vectors are (-18,b,9) and (b,b²,b)
Let
and
Therefore,
=(-18).b+b.b²+9.b
= -18b+b³+9b
= b³-9b
Since and are orthogonal. Then = 0.
Therefore,
b³-9b= 0
⇒b(b²-9)=0
⇒b =0 or b²=9
⇒b=0 or b =±3
Therefore the given vectors are orthogonal for b = 0,±3.
The equation that represents the total number of stamps malik collected is x + y = 212. The equation that represents the difference in the number of foreign and domestic stamps malik collected is: x - y = 34. This is the system of two equations. Malik has a total of 212 stamps: x + y = 212. He has 34 more domestic stamps (x) than foreign stamps (y): x = y + 34. If we rearrange it, we have x - y = 34. So, this is the system of two equations: x + y = 212 and x - y = 34.<span>
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You do 3 times 14 and you get 42
Least common denominator is (x-1)(x-2) = x²-3x+2.
2x(x-2)/((x-1)(x-2)) - (2x-5)/((x-1)(x-2)) = -3(x-1)/((x-1)(x-2))
2x(x-2) - (2x-5) = -3(x-1)
(2x²-4)-(2x-5) = -3x+1
2x²-2x+1 = -3x+1
2x²+x = 0
x(2x+1) = 0
x = 0,-½