Answer:
first one
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The magnitude size of -5.8 is 5.8
magnitude size of a number is the number itself, and if it’s negative, it becomes its absolute value (in other words, you remove the subtraction sign).
To subtract vectors, subtract the x coordinates together. Do the same for the y coordinates as well.
In terms of a formula if we had the vectors u and v such that
u = <a,b>
v = <c,d>
then
u - v = <a-c, b-d>
Let's use that to get...
u - v = <6,-9> - <1,-4>
u - v = <6-1,-9-(-4)>
u - v = <6-1,-9+4>
u - v =
<5,-5>----------------------
Answer: A) <5,-5>
Answer:
<h3>6 feet</h3>
Step-by-step explanation
Using the pythagoras theorem;
Given
The length of the flag pole = 8 feet = opposite side
Length of the rope = 10 feet = hypotenuse
To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation
hyp² = opp² + adj²
10² = 8² + adj²
adj² = 100-64
adj² = 36
adj = √36
adj = 6feet
Hence the rope should be placed 6feet out of the ground
