Answer:
Step-by-step explanation:
2log(x-3)=log25
log(x-3)²=log25 cancel out log on both sides
(x-3)²=25
x²-6x+9=25
x²-6x+9-25=0
x²-6x-16=0 factorize
x²+2x-8x-16=0
x(x+2)-8(x+2)
(x-8)(x+2)=0
x-8=0 or x+2=0
x=8 or x=-2
x=-2 cannot be considered because of the -ve sign.
x=8.
check
2log(x-3)
2log(8-3)
2log5
log5²=25
therefore LHS=RHS
Answer:
360 mi/h
Step-by-step explanation:
The speed for the outbound trip was ...
speed = distance/time = (715 mi)/(2 1/6 h) = 330 mi/h
The inbound speed was ...
(715 mi)/(1 5/6 h) = 390 mi/h
The airspeed of the plane is the average of these two ground speeds, so is ...
(330 +390)/2 = 360 . . . . mi/h
Answer:
113 is correct because 49 divided by 3 is 16.33. 16.33 multiplied by 7 is 113
Step-by-step explanation:
Answer:
-33
Step-by-step explanation:
The sequence is descending so the nth term would be -10n and the 0 term would be 27 so the nth term for the sequence would be -10n +27.
The question asks you to find the 6th term so (-10 x 6) + 27 = -60 + 27 = -33
Answer: 
Step-by-step explanation:
Sine uses the ratio, 
so we can plug in the information we know. since there is no current value for the opposite side of angle A, we can just use a variable to replace it.
You can't reduce this any further because there is an unknown variable.
