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Leokris [45]
2 years ago
6

Hadley's parents want to build a fence around her play area. The perimeter of the play area is 186 feet. The width is two times

the length. Use the formula for the perimeter of a rectangle as one of your equations. What is the length and width of the play area?
Mathematics
1 answer:
djyliett [7]2 years ago
5 0

The length of the play area is 31 feet and the width is 62 feet.

<h3>What is a rectangle?</h3>

A rectangle is a 2-dimensional quadrilateral with four right angles. It has two diagonals which bisect each other . The diagonals are equal in length

Perimeter of a rectangle = 2 x (length + width)

<h3>What are the dimensions of the rectangle? </h3>

Width = 2l

Length = l

186 = 2(2l + l )

Divide both sides by 2

93 = 2l + l

93 = 3l

Divide both sides of the equation by 3

l = 31 feet

W = 31 x 2 = 62 feet

To learn more about the perimeter of a rectangle, please check: brainly.com/question/18793958

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JulijaS [17]

Answer:

y = -2x + 16


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the only answer choice adding 16 sis y = -2x + 16

7 0
2 years ago
Graph the function y = 2x3 – x2 – 4x + 5. To the nearest tenth, over which interval is the function decreasing?
daser333 [38]
As you progress in math, it will become increasingly important that you know how to express exponentiation properly.

y = 2x3 – x2 – 4x + 5  should be written    <span>y = 2^x3 – x^2 – 4^x + 5.  The 
" ^ " symbol denotes exponentiation.

I see you're apparently in middle school.  Is that so?  If so, are you taking calculus already?  If so, nice!

Case 1:  You do not yet know calculus and have not differentiated or found critical values.  Sketch the function          </span>y = 2x^3 – x^2 – 4^x + 5, including the y-intercept at (0,5).  Can you identify the intervals on which the graph appears to be increasing and those on which it appears to be decreasing?

Case 2:  You do know differentiation, critical values and the first derivative test.  Differentiate  y = 2x^3 – x^2 – 4^x + 5 and set the derivative = to 0:

dy/dx = 6x^2 - 2x - 4 = 0.  Reduce this by dividing all terms by 2:

dy/dx = 3x^2 - x - 2 = 0    I used synthetic div. to determine that one root is x = 2/3.  Try it yourself.  This leaves the coefficients of the other factor, (3x+3); this other factor is x = 3/(-3) = -1.  Again, you should check this.

Now we have 2 roots:  -1 and 2/3

Draw a number line.  Locate the origin (0,0).  Plot the points (-1, 0) and (2/3, 0).  This subdivides the number line into 3 subintervals:

(-infinity, -1), (-1, 2/3) and (2/3, infinity).

Choose a test number from each interval and subst. it for x in the derivative formula above.  If the derivative comes out +, the function is increasing on that interval; if -, the function is decreasing.

Ask all the questions you want, if this explanation is not sufficiently clear.

4 0
3 years ago
Read 2 more answers
What is the value of S ?
Vanyuwa [196]

Answer:

Step-by-step explanation:

total is 240 then the bigger areas are 60* so S is 40*

5 0
3 years ago
Read 2 more answers
How much is three more than the square of 8?
kari74 [83]
3² equals nine, so the square root of eight has to be less than three.
The square root of eight is 2.82 rounded to the nearest hundredth. So 3 is approximately 0.18 more than the square of eight.

Hope this helps

~DragonGirl :)

7 0
3 years ago
Read 2 more answers
A family paid $26.400 as a down payment for a home. If this represents 16% of the price of the home, find the price of the home.
Vlada [557]
The correct answer is:

How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Convert the problem to an equation using the percentage formula: Y/P% = X
Y is 26,400, P% is 16%, so the equation is 26,400/16% = X
Convert the percentage to a decimal by dividing by 100.
Converting 16% to a decimal: 16/100 = 0.16
Substitute 0.16 for 16% in the equation: 26,400/0.16 = X
Do the math: 26,400/0.16 = X
X = 165,000
So $ 165,000 is the price of the home.

I hope this helps you!!
7 0
3 years ago
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