Answer:
4/9
Step-by-step explanation:
First of all we need to get rid of the -2 exponent and make it positive in order to solve this equation.
Therefore to do this we just use the reciprocal of 3/2 which is 2/3
Now we have (2/3)^2
Since 2/3 is being squared we used the following equation below:
(2/3) * (2/3)
We multiply 2/3 by itself twice since 2 is the exponent.
Then we get:
2^2
-----
3^2
2 squared is 4 and 3 squared is 9.
Therefore the final answer is 4/9.
I hope this helps have a good rest of your day!
The location of the fountain as described in the task content is; (-1, -0.5).
<h3>What is the location of the Fountain?</h3>
According to the task content, the locations of Fernando and Maria are given as; (-4, -2) and (4,2) respectively and the ratio of division is expected to be; 5: 3.
Hence, the coordinates of the fountain can be evaluated as;
x = (4) - (4-(-4)) × (5/8) = -1.
y = 2 - (2-(-2)) × (5/8) = -0.5
Hence, it follows that the coordinates of the fountain location is; (-1, -0.5) since the fountain is closer to Fernando than Maria.
Read more on dividing lines by ratios;
brainly.com/question/21108138
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The function is undefinded if the denominator, x-5, equals 0.
So

.
The domain is

.
In interval notation, this is (-infinity, 5) u (5, infinity).