Answer:
The answer to your question is: length = 14 ft; width = 3 ft
Step-by-step explanation:
Data
Area = 42 ft²
length = 8 + 2w
w = width = ?
length = ?
Formula
Area = length x width = l x w
Substitution
42 = (2w + 8)w
42 = 2w² + 8w
2w² + 8w - 42 = 0
Dividing by 2
w² + 4w - 21 = 0 Factorize
(w + 7) (w - 3) = 0
w1 = -7 w2 = 3
It's not possible to have negative widths
So the answer is w = 3 ft
length = 2(3) + 8
length = 6 + 8
length = 14 ft
Answer:
b = 5
Step-by-step explanation:
All quadratic equations are formed in the format of 
+ bx + c = 0
Using this formula, we can re-arrange the equation to fit the given format.
- 2 = -5x
+ 5x - 2 = 0
5 is plugged in for "b" in this equation, therefore b = 5.
Answer:
0.2
Step-by-step explanation:
14/10÷x=7
14/10=7x
1.4±7=x
x=0.2
Answer:
12.6 square inches
Step-by-step explanation:
A=(1/2)bh
A=(1/2)12*2.1
A=12.6 square inches
Answer:
coefficient of x: 2
coefficient of y: 3
coefficient of z: -7
Step-by-step explanation:
To solve this problem, first we need to sum the polynomials A and B, then we need to check the coefficients of x, y and z.
The sum of the polynomials is:
A + B = 5z + 4x^2 - 6y + 2 + 2x + 9y - 12z - 2
A + B = 4x^2 + 2x + 3y - 7z
So, the coefficients are:
coefficient of x^2: 4
coefficient of x: 2
coefficient of y: 3
coefficient of z: -7
