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1 answer:
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Answer:
The oldest brother is of age years.
Step-by-step explanation:
As the age of four brothers are consecutive even integers.
We assume that the ages are as their respective ages.
And the age of the youngest brother yrs.
Age of the oldest brother yrs.
According to the question
Product of two middle brother that is
So we will arrange this in our equation and solve the quadratic.
Solving the quadratic by using middle term splitting or directly with quadratic formula we can find the value of 'x' .
Here it is solved with quadratic formula:
Comparing with standard equation ,here
.
We will work with the positive value of (x) so the the age of the youngest brother yrs.
And the age of the the oldest brother years.
The age difference is of years.
Answer:
(a) 53.451∠163°
Step-by-step explanation:
The sum of the vectors is the sum of their components:
v1 +v2 = (-55i +3j) +(4i +13j) = (-55 +4)i +(3 +13)j = -51i +16j
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<h3>conversion to polar form</h3>This is converted to magnitude and direction by ...
|ai +bj| = √(a² +b²)
|-51i +16j| = √((-51)² +16²) = √(2601 +256) = √2857 ≈ 53.451
and
∠(ai +bj) = arctan(b/a) = arctan(16/-51) ≈ -17° +180° = 163°
note that 180° is added because the components indicate the angle is in the 2nd quadrant.
The object's speed and direction are ...
53.451 ∠163°
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<em>Additional comment</em>
If you're doing a lot of vector calculations, the process is simplified immensely by a suitable calculator. (See attached.) 2-dimensional vectors are handled nicely using the complex number functions of the calculator.
