Let's assume that the number we are using is
, where
and
are real numbers. The conjugate of this would be
. Multiplying the two together would get
. Since
and
are both real numbers, the multiplication of the conjugate must also be real.
Answer:
16. x = 3.0822, -3.0822
17. x = 1.6432, -1.6432
18. x = 1, -1
Step-by-step explanation:
16. log5[(4x²+2)/8] = 1
(4x²+2)/8 = 5¹
4x² + 2 = 40
4x² = 38
x² = 38/4
x² = 19/2
x = +/- sqrt(19/2)
x = 3.0822, -3.0822
17. log7[(2x²-4)(5)] = 1
10x² - 20 = 7¹
10x² = 27
x² = 2.7
x = +/- sqrt(2.7)
x = 1.6432, -1.6432
18. log5[(2x²+8)/2] = 1
x² + 4 = 5¹
x² = 1
x = +/-1
Hi,
0.131313 as a fraction is 13/99
Have a great day!
Step-by-step explanation:
Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
x² = 12² + 9² = 144 + 81 = 225
x = 15 ft
so, the first answer option is correct.
Answer:
The food will last for 25 days with 72 boys
Step-by-step explanation:
Proportions can be used to find the number of days the food will last for 72 boys.
60 boys in a hostel have food for 30 days.
Let x be the number of days for which the food will last
The proportion or product of both scenarios has to be same as the number of days and number of boys are proportional
Which means
Hence,
The food will last for 25 days with 72 boys