The angle between two vectors is:
CosФ = u - v / Magnitude(u) x magnitude(v)
Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)
Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)
u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11
cosФ = -11 / sqrt(53) x sqrt(5)
cosФ = -11sqrt265) / 265
Ф =cos^-1(-11sqrt265) / 265)
Ф=132.51 degrees.
Answer:9
Step-by-step explanation: square root of 25 is 5 and of 16 the square root is 4 add both of them together and you get 9
9514 1404 393
Answer:
the multiplicity is 4
Step-by-step explanation:
The graph shows a root at x = -2 that has a multiplicity of 2. You know the multiplicity is even, because the graph does not cross the x-axis. The multiplicity is 2 because the general shape of the graph in that area matches that of a quadratic (parabola).
The multiplicity of the root at x=4 is also an even number, because the x-axis is not crossed. However, the graph is significantly flatter at that point (than at x=-2), meaning the multiplicity is greater than 2. It is at least 4.
When we draw a graph with a multiplicity of 6 at x=4, we find the ratio of the peaks near x=-4 and x=0 to be different from that shown here. The suggests that the multiplicity of the root at x=4 is exactly 4.
Hey there!
1/8(p + 24) = 9
1/8(p) + 1/8(24) = 9
1/8p + 3 = 9
SUBTRACT 3 to BOTH SIDES
1/8p + 3 - 3 = 9 - 3
CANCEL out: 3 - 3 because it gives 0
KEEP: 9 - 3 because it help solve for the p-value.
NEW EQUATION: 1/8p = 9 - 3
SIMPLIFY IT!
1/8p = 6
MULTIPLY 8 to BOTH SIDES
1/8p * 8 = 6 * 8
CANCEL out: 1/8 * 8 because it gives 1
KEEP: 6 * 8 because it gives the p-value.
NEW EQUATION: p = 6 * 8
SIMPLIFY IT!
p = 48
Therefore, your answer is: p = 48
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)