9189.15 ft (this is the answer and I have not rounded it)
Answer:
4. < ACB = 90° and < CBA = 52°
5. <SPQ+ <SRQ = 180°
so, <SPQ= < QRT = 100°
Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.
Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
= 4(x^2+3x) + 9, or
= 4x^2 + 12x + 9 = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3). Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.
c=2x+3 is the correct answer.
Log(7x+1) - log(x-2) =1
log[(7x+1) / (x-2)] =1 or log[(7x+1) / (x-2)] =log10 (log10=1)
it means (7x+1) / (x-2) =10
Solving ===> x=7
Hey there!
4^4
= 4 • 4 • 4 • 4
= 4 • 4 ➡️ 16
= 16 • 16
= 256
Answer: 256 ☑️
Good luck on your assignment and enjoy your day!
~ Amphitrite1040:)
