<u>We are given:</u>
An even number 'n', multiplied by the next consecutive even number is 168
<u>Solving for n:</u>
From the given statement, we can say that:
n(n+2) = 168 [<em>n multiplied by the next even number 'n+2'</em>]
n² + 2n = 168
n² + 2n - 168 = 0 [<em>subtracting 168 from both sides</em>]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 <em>[factoring out common terms</em>]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
Answer:
Second and fourth
Step-by-step explanation:
A line is in point-slope form when you write down as 
- do not be distracted by the signs, +1 and +5 can both be written as -(-1) or -(-5) rispectively.
Answer:
(328i + 82) / 17
Step-by-step explanation:
`(2i(4+5i)(4-5i))/(4+i)
= (2i(16 - 25i^2)) / (4 + i)
= (2i( 16 + 25) )) / (4 + 1) [Note:- i^2 = -1]
= 82i / (4 + i)
= 82i(4 - i) / (4 + i)(4 - 1)
= 328i + 82 / (16 - i^2)
= (328i + 82) / 17
Step-by-step explanation:
Putting value of w
(8)2 - 4(8) - 2
64 - 32 - 2
32 - 2
30
Perpendicular = opposite sign and reciprocal slope
Make equation y= mx + b
3x + 4y = 24
4y = -3x + 24
y = -3/4x + 6
Now make slope perpendicular
Slope = 4/3
The answer would be B.
