Answer:
K = -72
Step-by-step explanation:
1. Get K/9 by itself to do so add 3 to both sides eliminating it on the left by turning the -11 into -8
2. Multiply by 9 on both sides eliminating the division of 9 on the left and turning -8 into -72 leaving the equation as K = -72
To eliminate a number you must do its opposite so the opposite of -3 is +3 so you +3 to both sides. And always start the equation by eliminating what is not connected to the variable in this case the 9 was connected to the variable as K/9.
The domain is the set of all possible values of independent variable I.e of x. The range is the complete set of all possible resulting values of the dependent variable of i.e of y
The object reaches the lowest height at 5 seconds
<h3>How to determine the time?</h3>
The function is given as:
f(t) = -2t² +22t + 6
Differentiate the function
f'(t) = -4t +22
Set to 0
-4t +22 = 0
Subtract 22 from both sides
-4t = -22
Divide both sides by -4
t = 5.5
Remove decimal points
t = 5
Hence, the object reaches the lowest height at 5 seconds
Read more about quadratic functions at:
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The first plan : y = 27 + 0.12x
Second plan : y = 0.16x
27 + 0.12x= 0.16x
27 = 0.04x
x = 67.5 minutes
If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.
Solution:
h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13
The present distance of the boat from the port is 13 miles.
