Answer:
x = 4 ±9i
Step-by-step explanation:
x^2 - 8x + 97 = 0
Complete the square by subtracting 97 from each side
x^2 - 8x =- 97
Take the coefficient of x
-8 and divide by 2
-8/2 = -4
Then square it
(-4)^2 = 16
Add it to each side
x^2 - 8x + 16 = -97+16
(x-4)^2 = -81
Take the square root of each side
x-4 = ±sqrt(-81)
x-4 = ±9i
Add 4 to each side
x = 4 ±9i
Answer:
Step-by-step explanation:
5^2x=7^x+1 ⇔ ln5^2x = ln7^x+1 ⇔ 2xln5 = (x+1)ln7 ⇔ (2ln5-ln7)x = ln7
⇔ x = ln7/(2ln5-ln7)
Answer: B. the interest rate may change depending on the condition of the economy.
Step-by-step explanation:
By definition, in a adjustable-rate mortgage (which can be identified as ARM), the interest rates can fluctuates, this means that it can change periodically.
Therefore, the interest rate is fixed for a period of time and then it varies based on the index it is tied to. This index is set by market situation.
Then, keeping this on mind, the correct answer is the option B, which is: The interest rate may change depending on the condition of the economy.
Answer:
769.46 miles
Step-by-step explanation:
Please have a look at the photo attached in this answer
The missing part of the angle is 32 degrees, so the total angle of B is:
32 + 73 = 105 degrees.
Let x is the distance from airport A to airport C to the nearest tenth of a mile, we use cosine law to find x:
= 
- 2(570)(390)cos(105)
<=> = 592070
<=> x = 
= 769.46 miles
Answer:
150/5 = 30 minutes
Step-by-step explanation:
So 5 words in 1 minute
Now how long will it take to write 150 words
