First, let's find the bottom of the pan's area. 11 x 8 = 88 inches.
Next, we can find the sides. 11 x 3 x 2 = 66 inches for each long side. For the wide sides, 8 x 3 x 2 = 48 inches. These all added together equals 202 inches squared.
Answer:
y=x-8 and y=-x+4
Step-by-step explanation:
The slopes of the lines can be anything, as long as they are the opposite reciprocals of each other. Then you can plug in the point for x and y to solve for b in both lines (for y=mx+b where m is the slope)
Mixed number = fraction so each friend gets 1.5/9 pieces of candy..
Let x = the unknown number
five more than a number = twice the number
x + 5 = 2x
5 = 2x - x
5 = x
( Balance method is used to solve )
substitution
x + 5 = 2x
5 + 5 = 2 x 5
10 = 10
answer : the unknown number is 5
Answer:
<em>1) y = (x-3)²-12</em>
<em>2) y = 5(x-2)²-9 </em>
Step-by-step explanation:
Given the quadratic expressions
y=x²-6x-3
We are to transform it in the form y=ax²+bx+c
y=(x²-6x)-3
Complete the square of the expression in parenthesis
y = (x²-6x + (6/2)² - (6/2)²)-3
y = (x²-6x+3²-3²)-3
y = (x²-6x+9-9)-3
y = (x²-6x+9)-12
y = (x²-3x-3x+9)-12
y = x(x-3)-3(x-3)-12
y = (x-3)(x-3)-12
y = (x-3)²-12
Hence the transformation is y = (x-3)²-12 where a = 1 and k = -12
For the quadratic equation
y=(5x²-20x)-5
y = 5(x²-4x)- 5
Complete the square of the expression in parenthesis
y = 5(x²-4x+4-4)- 5
y = 5(x²-4x+4)-9
y = 5(x-2)²-9
<em>Hence the transformation is y = 5(x-2)²-9 where a = 5 and k = -9</em>
