Answer:
y² + y +
= (y +
)²
Step-by-step explanation:
In most cases, we can factor a polynomial, or quadratic, by looking at the factors of the last term. In this case, the last term is
. When we factor a polynomial, we are looking for two expressions that when multiplied together using FOIL (forward-outside-inside-last) will give us the polynomial. For example: (a + b)(a + b) or (a+ b)².
In order to get y² + y +
, we are looking for a 'c' value that will add up to '1' which is our 'b' value (ay² + by + c).
Since 
Then, we can use
as our factor for both expressions. Putting this together we get: (y +
)(y +
) or (y +
)²
The answer is d y=-7x+6
formula for the equation of a line is y= mx+b
m is the slope
b is the y- intercept
Answer:
(Change in y)/(change in x) is defined as the average rate of change.
For a linear equation:
y = a*x + b
A is the average rate of change, and is called the "slope" of the linear equation, and this is a constant.
Then the sentence will be:
"The average change between two ordered pairs (x,y) is the ratio (change in x)/(change in y)
In a linear function, this is called the slope, and it is constant"
Answer:
1
Step-by-step explanation:
The cone is sliced by a plane, which produces a smaller cone on top. This cone is similar to the original cone. Therefore:
R / H = r / h
2 / 8 = r / 4
r = 1