Answer:
It’s C
Step-by-step explanation:
Answer:

Note: to write the domain in interval notation, you'd write [-4,5]
if you need the domain in set-builder notation, then you'd write

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Explanation:
The domain is the set of possible x input values. Look at the left most point (-4,-1). The x coordinate here is x = -4. This is the smallest x value allowed. The largest x value allowed is x = 5 for similar reasons, but on the other side of the graph.
So that's how I got

(x is between -4 and 5; inclusive of both endpoints)
Writing [-4,5] for interval notation tells us that we have an interval from -4 to 5 and we include both endpoints. The square brackets mean "include endpoint"
Writing

is the set-builder notation way of expressing the domain. The

portion means "x is a real number"
Answer:
The value of k is 5/8
Step-by-step explanation:
The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio
When finding a point, P, to partition a line segment AB into the ratio a/b, we find a ratio c = a / (a + b)
According to this formula we find the value of k.
k = a/(a+b)
where a = 5
b = 3
Now plug the values in the formula:
k = 5/(5+3)
k = 5/8 ....
Answer:
C) 33 meters
Step-by-step explanation:
In this question, we need to find the value of the variable "x".
To do this, we must use the Pythagorean theorem: a² + b² = c²
Plug in your values and solve:
56² + b² = 65²
3,136 + b² = 65²
3,136 + b² = 4,225
Subtract 3,136 from both sides.
b² = 1,089
To cancel out the exponent, we would square root both sides.
√b² = √1,089
b = 33
This means that C) 33 meters will be your answer.