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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Answer: Jay is 2x + 4 years old
Step-by-step explanation:
May's age = M
Jay's age = J
Kay's age = x
J = M + 4
M = 2x
substitution
J = 2x + 4
Hope it helps <3
Kevin makes $840 in 4 weeks.
how much he makes per day $42
(3.5* 12= 42)
How much he makes per week
(42*5=210)
We have 22 tickets sold, and 20 seats. This means that at least 2 passengers must not show up (otherwise, at least 21 passengers will be present, and there wouldn't be space for them).
Considering each passenger as independent, you can think of this experiment. Suppose you toss a coin for each passenger. If the coin lands on heads, the passenger shows up. If it lands on tails, the passenger doesn't show up.
But the coin is unfair: it has a 0.91 probability of landing on heads, and thus 0.09 probability of landing on tails.
This implies that the probability of having exactly tails is
We already concluded that at least two passengers must not show up. So, if our coins lands on tails less than twice, we've lost. So, the losing probability is
Finally, remember the rule to negate events:
So, if we lose with probability 0.39, we win with probability
2x-2y
parallel means that the x part is the same
and it is -2y because the y-coordinate is -2