the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.
We find the slope of parallel line using two given points
(5, -8) and (2, 4)
Slope formula is
so slope = -4
Slope of any two parallel lines are always equal
Lets find the slope of the equation 13y + kx = 4
Subtract kx on both sides
13 y = -kx + 4
Divide both sides by 13
Now slope = -k/13
We know slope of parallel lines are same
So the slope of 13y + kx = 4 is also -4
Hence we equation the slope and find out k
Multiply by 13 on both sides and divide by -1
k = 52
the value of k = 52
2/5(x - 1) < 3/5(1 + x)
To find the solution, we can use the distributive property to simplify.
2/5x - 2/5 < 3/5 + 3/5x
Multiply all terms by 5.
2x - 2 < 3 + 3x
Subtract 2x from both sides.
-2 < 3 + x
Subtract 3 from both sides.
-5 < x
<h3><u>The value of x is greater than the value of -5.</u></h3>
Group together the like terms (plus 2x with 2x) (subtract 10 by 6)
4x+4=36
Move plus four to the other side as a negative
4x=32
Divide both sides by 4
32 divided by 4 is 8
Therefore, x is equal to 8
Answer:
Step-by-step explanation:
Prob at each second, a mosquito lands on your neck =0.5
Prob it bites/it lands = 0.2
Prob it does not bite/it lands = 0.8
Hence in one second prob for getting a bite = 
i.e. 1/100 chance of getting bitten in one second
In 100 seconds number of bites 
Expected time between successive bites = 100
