Answer:
3.15 ..........
Step-by-step explanation:
You subtract the x from both sides of the equation so it will then be -3y = -2x - 6. You then divide each number by -3, -3y divided by -3, -2x divided by -3, and the - 6 divided by negative 3. It would equal y = 2/3x + 2
In a geometric sequence dividing any term by the term before it yields the common multiplier.
Then x/(x+8) = (3x-8)/x
Solving for x: reduces to x^2-10x +16 factor into (x-2)(x-8)
Then x = 2 or 8
2 produces a sequence of -2, 2, -2 ...
8 produces a sequence of 4, 8, 16 ...
Answer:
71.6 degrees
Step-by-step explanation:
Given the vectors
u= <8,4> v = <9.-9> (5 points)
u*v = (8, 4)*(9, -9)
u*v = 8(9)+(4)(-9)
u*v = 72 - 36
u*v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+9²
|v| = √81+81
|v| = √162
Using the formula
u*v = ||u||v| cos theta
36 = √80(√162)cos theta
36 = √12960 cos theta
cos theta = 36/√12960
cos theta = 36/113.8
cos theta = 0.3162
theta = arccos(0.3162)
theta = 71.56 degrees
Hence the angle between the given vectors to the nearest tenth of a
degree is 71.6 degrees
<span>A matrix is basically a table of columns and rows.
One way to use an array is to tabulate information concerning two variables, for example, sizes of shoes and person's height, or price of different kinds of vegetables over 12 months, etc.
So for your problem, think of two variables that you can tabulate in your sports team. If you are out of ideas, read the sports page.</span>
