Answer:
(A) y+4=-3(x+6)
Step-by-step explanation:
The point-slope form of the equation of a line whose slope is m and passes through the point 
is: 
Given the point: 
Slope, m=-3
Substituting these values into: , we obtain the point slope form of the equation:
The correct option is A.
Answer:
(B) 
Step-by-step explanation:
A polynomial is the expression which consists of addition, subtraction, multiplication with any variables or constants but the division with a variable is not considered as a polynomial.
Since consists of division of -3 with a variable, therefore it is not a polynomial, rest all other options are polynomial as they involve addition,multiplication with variables.
<h3>Given</h3>
Two positive numbers x and y such that xy = 192
<h3>Find</h3>
The values that minimize x + 3y
<h3>Solution</h3>
y = 192/x . . . . . solve for y
f(x) = x + 3y
f(x) = x + 3(192/x) . . . . . the function we want to minimize
We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.
... f'(x) = 1 - 576/x² = 0
... 576 = x² . . . . . . . . . . . . multiply by x², add 576
... √576 = x = 24 . . . . . . . take the square root
... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y
The first number is 24.
The second number is 8.
Answer:
1) -1/4
2) -1/2
3) 1/3
Step-by-step explanation:
perpendicular lines' slopes are opposite reciprocals so you flip it and change the positive or negative sign
parallel lines have the same slope
