Answer:
c. a: 4
b: 12
c: 9
4x² +12x+9=0
(2x+3)(2x+3)= 0
(2x+3)²=0 {square root both sides}
2x+3=0
2x=-3
x= -3/2
1 gallon = 4 quarts
1 quart = 32 ounces
1 gallon = 128 ounces
9 gallons = 1,152 ounces
Filling 8 ounce cups = 1,152 / 8 = 144 cups
Answer: The base of an equilateral triangle is x + y - 2 = 0 and the opposite vertex is (2, -1). Find the equation of the remaining sides.
Step-by-step explanation:
all u do is divied by 2( -1
We have to determine the equation of the line passing through the point (2,-5) and parallel to the line 
When two lines are parallel, then the slopes of the two lines are equal.
Equation of line with point
and slope 'm' is given by:

Since, we have to determine the equation of a line with point (2,-5).
So, the equation of the line is : 

Since, the line is parallel to the line 
So, 


So, slope of the line 'm' is
.
Therefore, the equation of the line is:




Therefore,
is the required equation of the line.
Answer:
Hyperbola.
Step-by-step explanation:
We start from the function:

We may get the traces if we cut the surface in planes x=k. This is equivalent to replace x for k:

The last equation is the equation of an hyperbola, which varies its characteristics depending on K (the plane cut).