Answer:
Area = 84 in²
Step-by-step explanation:
In order to find the area of the rectangle, you need to first set up an equation to find the length based on the information already given in the problem. Since the perimeter = 40 and the formula to find perimeter of a rectangle is: P = 2W + 2L, where W = width and L=Length, we can solve for 'L' by putting in the values given:
P = 2W + 2L or 40 = 2W + 2(3W - 4)
The length of the rectangle is '4 less than 3 times the width'. This can be written as the expression '3W - 4'.
Distribute: 40 = 2W + 2(3W - 4) or 40 = 2W + 6W - 8
Combine like terms: 40 = 8W - 8
Add '8' to both sides: 40 + 8 = 8W - 8 + 8 or 48 = 8W
Divide both sides by '8': 48/8 = 8W/8 or 6 = W
Solve for L: 3W - 4 or 3(6) - 4 = 18 - 4 = 14
Since L=14 and W = 6, we can solve for Area using the formula: A = LxW or A = (14)(16) = 84in².
Answer:
y=|x+2|+1
Step-by-step explanation:
the equation for absolute value is y=a|b(x-h)|+k, however, in this case the equation is just y=|x-h|+k
the x value is shifted left 2 so it's |x+2|
the y value is shifted 1 up so it's +1
the equation for the graph is y=|x+2|+1
A is the answer the independant variable is w
Standard Form : f (x) = a(x - h)2 + k
Where in this equation (H,K) is the vortex of the parabola
<u>and there are four other ways to solving these quadratic</u>
1. Factoring
2. Completing the square
3. Your quadratic formula ( f (x) = a(x - h)2 + k )
4. Graphing
The answer is g=13 I hope this helped