Answer:
width = 8 feet and length = 12 feet
Step-by-step explanation:
Let the width be w then the length = 3w - 12 ( 12 less than 3 times the width )
The area (A) of a rectangle is
A = length × width, that is
w(3w - 12) = 96 ← area of floor
3w² - 12w = 96 ( subtract 96 from both sides )
3w² - 12w - 96 = 0 ← in standard form for a quadratic equation
Divide all terms by 3
w² - 4w - 32 = 0
Consider the product of the factors of the constant term ( - 32) which sum to give the coefficient of the w- term (- 4)
The factors are - 8 and + 4, since
- 8 × 4 = - 32 and - 8 + 4 = - 4, hence
(w - 8)(w + 4) = 0
Equate each factor to zero and solve for w
w - 8 = 0 ⇒ w = 8
w + 4 = 0 ⇒ w = - 4
However, w > 0 ⇒ w = 8
Hence width = 8 feet
length = 3w - 12 = (3 × 8) - 12 = 24 - 12 = 12 feet
The remaining values will be<u> 19, 20, 21, 22 and 23</u>
<h3 /><h3>System of equations</h3>
Given the following parameters
Ethan's score = x points
His younger sister's score = 8 points
If their total score is y points, hence the equation relating x and y is expressed as:
x + 8 = y
x = 8 - y
If x = 10
y = x + 8
y = 18
The ramining values will be<u> 19, 20, 21, 22 and 23</u>
Learn more on tables and values here: brainly.com/question/9265203
Answer:
28:20
Step-by-step explanation:
you just multiply 5 by 4 because 20 divided by 4 is 5 and then multiply 7 by 4
Answer:
x^2-3x=4
x^2-3x-4=0
x^2-4x+x-4=0
x(x-4)+1(x-4)=0
(x+1)(x-4)=0
x=-1,4
x- intercepts in the point (-1,0) and (4,0)
Step-by-step explanation:
Answer:
1、
=-26
2、-4
3、
4、
5、At direct x equals 17, there's no slope
6、0
7、
8、
Step-by-step explanation:
In point-slope form, it takes about 3 seconds per problem
