Answer:
Step-by-step explanation:
Let's calculate the answer to the second parenthesis. Just multiply throughout to get -8xyz. Then, multiply the first parenthesis by the second. Multiply the constants (-8 and 2) first to get -16, multiply the x's together to get x^2, the y's together to get y^2, and the z's together to get z^2. Put it all together to get .
Question 4
The magnitude;
Using Pythagoras theorem,
(-200)² + (-530)² = 320900
Length = √320900
= 566.5 mi
To get the angle
Tan θ = opposite/adjacent
= 200/530
= 0.3774
θ = tan^-1 (0.3774)
= 20.67
≈ 21°
The direction from the Cartesian plane is south of west.
Therefore, the magnitude and the direction will be;
About 566.5 mi, 21° south of west
Question 5.
To get the resultant of two vectors we just add the two vectors given.
This involves adding the corresponding values.
Thus, for <-6,5> and <6,-5>
Resultant vector = <(-6+6),(5+-5>
= <0,0>
3.2w/8 l=x w/5 l
X= 5• 3.2/8= 16/8=2 centimeters
Answer:
A, B and C
Step-by-step explanation:
Dilations are transformation in which a shape either gets bigger or smaller than the original image. Although it changes sizes it does not change shape.
Therefore, A, B and C are correct.
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Hope this Helps!</h3>
:)
Answer:
n = 120i + 310j + 60k
p = 29i + 18j + 21 k
Total cost = $10,320
Step-by-step explanation:
Let n and p represent the vectors for number of products and prices respectively.
Also, the coordinates i,j and k represent cashews, walnut and Brazil nut respectively.
The vector form of the total number of bags ordered and the cost are;
n = 120i + 310j + 60k
p = 29i + 18j + 21 k
We can obtain the total cost by obtaining the dot product of the two vectors.
Total cost = n.p = (120i + 310j + 60k).(29i + 18j + 21 k)
C = 120×29 + 310×18 + 60×21
C = $10,320
