For the vectors u = ⟨2, 9⟩, v = ⟨4, –8⟩, and w = ⟨–12, 4⟩, what is u + v + w? ⟨6, 1⟩ ⟨6, 5⟩ ⟨-6, 5⟩ ⟨-6, 21⟩
Levart [38]
Answer:
< - 6, 5 >
Step-by-step explanation:
Add the corresponding components of each vector, that is
u + v + w
= < 2, 9 > + < 4, - 8 > + < - 12, 4 >
= > 2 + 4 - 12, 9 - 8 + 4 >
= < - 6, 5 >
To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
The centre point is given by;
=
=
=(4, -5)
Answer:
Mean Deviation = 5
Step-by-step explanation:
The numbers are given as;
8, 12, 12, 25, 10, 14, 4, 3, 22, 10
Mean = Sum of numbers / Population = 120 / 10
Mean = 12
mean deviation involves finding the sum of the absolute values of the differences between the individual elements and the mean. Then divding by the population.
Mean Deviation = |(8 - 12) + (12 - 12) + ( 12 - 12) + (25- 12) + (10- 12) + 14- 12) + (4- 12) + (3 - 12) + (22- 12) + (10- 12)
| / 10
Mean Absolute Deviation = 5
Material needed = πD x height
π x 3 x (3 x 12) //multiply by 12 to change the 3 feet to inches
= 339.29 in²
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Answer: 339.29 in²
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