Answer:
- 83 1/3 ft wide
- 171 2/3 ft long
Step-by-step explanation:
Let w represent the width of the area. Then 2w+5 represents the length. The perimeter is twice the sum of length and width:
P = 2(L+W)
510 = 2(2w+5 +w) . . substitute given values
255 = 3w +5 . . . . . . divide by 2
250 = 3w . . . . . . . . . subtract 5
83 1/3 = w . . . . . . . . .divide by 3; the width of the area
2w+5 = 171 2/3 . . . . the length of the area
The fenced area is 83 1/3 ft wide and 171 2/3 ft long.
Answer:
x = 2, x = 8
Step-by-step explanation:
reminder that f'(x) = 
Differentiate f(x) term by term using the power rule
(a
) = na
f(x) = 
x³ - 5x² + 2x + 10
f'(x) = x² - 10x + 2
Equating f'(x) to - 14
x² - 10x + 2 = - 14 ( add 14 to both sides )
x² - 10x + 16 = 0 ← in standard form
(x - 2)(x - 8) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 8 = 0 ⇒ x = 8
Answer:
.1818
Step-by-step explanation:
Two options to answer this:
Option 1:
Step 1: convert to a decimal
4/11 = .3636
Step 2: divide decimal by 2
.3636÷2=.1818
(ANSWER: .1818) I THINK
OPTION 2:
STEP 1: convert to decimal
2/11 = .1818
STEP 2: round
.1818
(ANSWER: .1818)I think
I REALLY HOPE THIS HELPED! HAVE A GREAT NIGHT!!!
Answer: squares
Step-by-step explanation:
Squares
Let's ask ourselves this question: Which variable depends on another variable's quantity?
In this problem, the number of birthday candles Vincent buys is dependent on his Grandmother's age. If we were to set up an equation to represent this situation, it would look something like this: b = y + x. Therefore, since we know that the number of birthday candles is dependent on another variable, it cannot be independent. The independent variable is y, Vincent's grandmother's age in years.
Hope this helps! :)
