Answer:
(x + 3)(x + 2)
Step-by-step explanation:
Given
x² + 5x + 6
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 3 and + 2 , since
3 × 2 = 6 and 3 + 2 = 5 , thus
x² + 5x + 6 = (x + 3)(x + 2)
Answer:
w goes to dependent
and t goes to independent
Step-by-step explanation:
Perimeter of a rectangle = 2L + 2W
Perimeter = 39
W = 8.5
we plug those into the perimeter equation and get
2L + 2(8.5) = 39
simplify
2L + 17 = 39
subtract 17 from both sides
2L = 22
divide both sides by 2
L = 11
therefore the length of the sheet of paper is 11 in.
Answer:
x)45
y)45
z)135
Step-by-step explanation:
Answer:

Step-by-step explanation:
1. The slope-intercept form of a linear equation is
, where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.
2. To find the slope, let's take the two points (0,0) and (-40,10). After that, let's plug in the values to their corresponding variable in the formula:
3. Since we now know our slope, the equation looks like this so far:
.
4. Because b is the y-intercept, b = 0 because the line intersects the y-axis at (0,0).
5. Now that we have the values of m and b, we plug in them to get the equation of: 