Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 4 is in this form
with y- intercept c = 4 → A
X=15. This is the Altitude theorem which is Altitude/Part = Altitude/Other part. In this question you would set up the proportion 9/X = X/25 and multiply cross products to get 225=X^2. Then you undo X^2 by doing the square route of 225 and then you get 15 as the final answer.
Standard Form looks like this:

Also, A cannot be negative and there are no fractions in Standard Form.
Now that we know the rules of Standard Form, let's get x and y on one side.
-2/3y = 2 + 8/15x
Subtract 8/15x from both sides.
-8/15x - 2/3y = 2
Multiply 2/3 by 5/5 to get a common denominator.
-8/15x - 10/15y = 2
Multiply everything by 15 to rid of the fractions.
-8x - 10y = 30
Multiply everything by -1 to make A positive.
8x + 10y = -30
8x + 10y = -30
The first option is correct. Set builder notation is this 1
Answer: 36.25p + 7.50r = 185
Step-by-step explanation:
The cost of p gallons of paint is given by;
= 36.25 * p
= 36.25p
Cost of r rollers is given by;
= 7.50 * r
= 7.50r
Total the customer can buy with; $185
Equation is;
36.25p + 7.50r = 185