Caleb wants to rent a kayak. Kayak rentals cost $14.50 for half an hour. If Caleb rents a kayak for a hour and forty-five minute
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Step-by-step explanation:
In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:
<u>Addition: </u>
If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).
For example, the addition of these two binomials is:
Similarly, the addition of two complex numbers is:
Here the complex part is the number with the
<u>Multiplication: </u>
If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that .
For example, the multiplication of these two binomials is:
Similarly, the multiplication of two complex numbers is:
First, simplify the equation given into slope intercept form.
slope intercept form is y = mx + b, where b is the y intercept and m is the slope.
3x - 2y - 5 = 0
I would move the 2y to the other side.
3x - 5 = 2y
Then, since y can't have a coefficient, divide everything by 2;
y = 3/2x - 5/2
So there's your slope intercept form.
Point slope form is:
Where those with a subscript of 1 are part of the same point.
So you already known one point; -8, 8. I'll just do that as the pair with subscript 1. You know the slope as well from the slope intercept form; 3/2.
You can just plug those in.
y - 8 = 3/2 (x + 8)
Now to change this to general form.
First, distribute 3/2 to x and 8.
y - 8 = 3/2x + 12
-3/2x + y = 20
-3/2x + y - 20 = 0
Since there are no fractions, multiply everything by 2.
-3x + 2y - 40 = 0
slope intercept form is y = mx + b, where b is the y intercept and m is the slope.
3x - 2y - 5 = 0
I would move the 2y to the other side.
3x - 5 = 2y
Then, since y can't have a coefficient, divide everything by 2;
y = 3/2x - 5/2
So there's your slope intercept form.
Point slope form is:
Where those with a subscript of 1 are part of the same point.
So you already known one point; -8, 8. I'll just do that as the pair with subscript 1. You know the slope as well from the slope intercept form; 3/2.
You can just plug those in.
y - 8 = 3/2 (x + 8)
Now to change this to general form.
First, distribute 3/2 to x and 8.
y - 8 = 3/2x + 12
-3/2x + y = 20
-3/2x + y - 20 = 0
Since there are no fractions, multiply everything by 2.
-3x + 2y - 40 = 0