Answer:
d. 21
Explanation:
Step 1 - Subtract 13 from both sides
x + 13 = 34
x + 13 - 13 = 34 - 13
x = 21
-> First, we want to put it into more of a slope-intercept form so we can graph.
y - 4 = 1/3 (x + 2)
y = 1/3 (x + 2) + 4
y = 1/3x + 2/3 + 4
y = 1/3x + 14/3
-> Next, we will plot the point (0, 14/3) because it is the y-intercept of our equation
-> Last, we will move up one and to the right three, following the pattern of "rise over run" with our slope of 1/3
[] The finished graph is attached
[] I have also graphed the original equation to show that they overlap, showing that our simplification works
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
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
First, second, and third are the answers.
Ans10.44
Step-by-step explanation:
sorry about my last answer! i was trying to leave it tocome back this might be ut
