Answer:
-1
Step-by-step explanation:
Recall that 0.25 = 1/4, and that 1/4 = 1/[4^(-1) Notice that 4 is the base of this log system.
Then log4 0.25 = log4(1/4) = log4(4^(-1) ) = -1 (answer)
Check: Does 4^(-1) = 0.25? Yes
Answer:
Step-by-step explanation:
-2(4-3x)+(5x-2)
-8+6x+5x-2
11x-10
M∠X = 54.3°.
Using the Law of Sines, we have:

Cross multiplying gives us
61(sin 34) = 42(sin X)
Divide both sides by 42:
(61(sin 34))/42 = (42(sin X))/42
(61(sin 34))/42 = sin X
Take the inverse sine of both sides:
sin⁻¹((61(sin 34))/42) = sin⁻¹(sin X)
54.3 = X
285 - 60x ; where x represents the number of driving hours.
285 ⇒ <span>The total distance to the state park.
60x </span>⇒<span> </span><span>The number of miles driven after x hours.
60 </span>⇒<span> </span><span>The number of miles driven after 1 hour.
y = 285 - 6x
y </span>⇒<span> </span><span>The number of miles left to drive each day.</span>
we have

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side


Divide both sides by 

Rewrite as perfect squares

Taking the square roots of both sides (square root property of equality)

Remember that





<u>the answer is</u>
The solutions are

