Answer:
26.1miles
Step-by-step explanation:
If three cities A, B and C form a right triangle on a map, and the Cities B and C are the furthest apart, then the distance between cities B and C will be the hypotenuse of the triangle.
If cities A and B are 14 miles apart, then |AB| = 14miles
Also if cities A and C are 22 miles apart, then |AC| = 22miles.
To get |BC| which is the distance between cities B and C, we will use the Pythagoras theorem.
|BC|² = |AB|² + |AC|²
|BC|² = 14²+22²
|BC|² = 196+484
|BC|² = 680
|BC| = √680
|BC| = 26.1miles
This means that cities B and C are 26.1miles apart
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Answer:
B is your answer
Step-by-step explanation:
x² - 4x - 12 = 0
Factor the left side: (x + 2) · (x - 6) = 0
The equation is true if either factor is zero.
If (x + 2) = 0 then x = -2 .
If (x - 6) = 0 then x = 6 .
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j. Hence, The vector AB is 16i + 12j.
<h3>How to find the vector?</h3>
If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Given;
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j.
magnitude
Unit vector in direction of resultant = (4i + 3j) / 5
Vector of magnitude 20 unit in direction of the resultant
= 20 x (4i + 3j) / 5
= 4 x (4i + 3j)
= 16i + 12j
Hence, The vector AB is 16i + 12j.
Learn more about vectors;
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