Answer:
x = -1/2
Step-by-step explanation:
This question can be solved by applying the laws of indices
In a^n, a - base
n - index
Given
9^x = 1/3
According to the laws of indices, a/b = b^(-a)
Hence we can write, 1/3 = 3^(-1)
9^x = 3^(2x)
Again according to the laws of indices,
a^b = a^n can be written as;
b = n
That is, if in an equation the bases are the same, the indices are also equal.
So we can write,
3^(2x) = 3^(-1)
2x = -1
Divide both sides of the equation by 2, the coefficient of x
2x/2 = -1/2
x = -1/2
You x all the sides together and add the 2 numbers you get
Answer:
Plz help will make the Brainly
Step-by-step explanation:
Answer:
49.92 miles/hour
Step-by-step explanation:
32 miles/hour = 32 * 5280 = 168960 ft/hour
For the collision to occur, both cars must arrive at the intersection at the same time.
The time it takes for the Mercedes to travel 400 feet at the rate of 168960 ft/hour is 400 / 168960 = 0.002367 hours
So the Ferrari should take the same time to travel 624 feet as well, its speed would be
624 / 0.002367 = 263577.6 ft/hour or 263577.6 / 5280 = 49.92 miles/hour
The answer is possibly 10
