Step-by-step explanation:
3x-2x=5+10 [taking variables on one side and constant on other]
x=15
soln:
3x-5= 2x+10
3x -5+5=2x+10+5 [ adding 5 on both side]
3x=2x+15
3x-2x=2x+15-2x [subtracting 2x on both side]
x=15
Ans=15
So to find the area you should draw a line to make a right triangle then take the area of the 3 figures and add them together. See the picture.
You forgot to provide the slope but here is how you do this
the slope 5 = (y2 - y) / (x2 - x) but we know that (x2, y2) = (-10, -5)
=> (-5 - y) / (-10 - x) = 5 --- multiply both sides by (-10 - x)
=> (-5 - y) = 5 (-10 - x)
=> (-5 - y) = -50 - (5)x --- add +5 to both sides
=> -y = (-50 + 5) - (5)x --- multiply both sides -1
=> y = 5x + 45 --- this will be your equation.
Answer:
0.5578
Step-by-step explanation:
Fingerprint correctly match 92 % of the time.
A novice that will correctly identify a match 75% the time.
Each of the attempts of matching a fingerprint with the individual is independent.
The number of pairs are 7.
a). So the probability that the expert will identify every pair correctly is
= 0.92 x 0.92 x 0.92 x 0.92 x 0.92 x 0.92 x 0.92= 0.927 = 0.5578