Answer:
y = -8
Step-by-step explanation:
Answer: x = {-4, 5}
<u>Step-by-step explanation:</u>
log (10x + 200) = log (x²) + log (10)
log (10x + 200) = log (10x²)
10x + 200 = 10x²
0 = 10x² - 10x - 200
0 = x² - x - 20
0 = (x - 5)(x + 4)
0 = x - 5 0 = x + 4
x = 5 x = -4
Check for extraneous solutions:
10x + 200 > 0 x² > 0
x = 5 10(5) + 200 > 0 (5)² > 0 both are satisfied
x = -4 10(-4) + 200 > 0 (-4)² > 0 both are satisfied
Both solutions are valid!
The answer:
the complement of the question proposed one of the choices given beneath:
a) 58.8
b) 53.0
c) 29.4
d) 26.5
as we observe at the figure, AOB an isosceles triangle, and OCB is a right triangle
consider OCB
OC =9, OB= radius = 28
the problem is how to find the length of CA, for that C is a midpoint of segment AB, so AC=BC
BC can be found by using pythagorean theorem
OB²= OC² + CB², this implies CB² = OB² - OC²
CB² = 28² - 9² = 784 - 81=703, therefore CB= sqrt (703)=26.51
CB=26.51, since CB= AC, so AC=CB= 26.51
finally the <span>the length of AB is AB = 2 x CB = 2x AC= 2x 26.51= 53.0
</span>
the answer is b) 53.0
