The slope of the line is calculated using
y2 - y1 / x2 - x1
Substituting the given values
-8 - 27 / 5 - 0 = -7
The rate of change or the slope is -7
And the initial value is the value of y when x is 0. From the first coordinates, the initial value is 27.
In order to get the common denominator when adding fractions or subtracting fractions, you have to make sure that the denominator of the two items are divisible by each other. In this case, 9 is not divisible by any of the given denominators which is 4 and 5. So in this case, the common denominator will have to be 20. 5 x 4 will equal to 20 and you will also multiply 3 x 5 to get the new numerator. After that, you will multiply 2 x 4 to get the new numerator of the other fraction. The new fractions will be 15/20 and 8/20. From there, you can add or subtract
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The distance between the boat and the ocean's floor is 19m
<h3>
How to get the distance from the ship to the ocean's floor?</h3>
We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.
We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).
Then we use the relation:
Sin(a) = (opposite cathetus)/(hypotenuse).
Replacing the values that we know, we get:
Sin(39°) = d/30m
sin(39°)*30m = d = 18.9m ≈ 19m
The distance between the boat and the ocean's floor is 19m.
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
