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Assoli18 [71]
3 years ago
12

Write an algebraic expression for the perimeter of a rectangular garden with a width of 3 feet and a length of 2y feet. Simplify

your expression and find the perimeter of the garden if y=6. Draw a model and show your work.
Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer:

i. P=4y+6

ii. P=30\:ft

Step-by-step explanation:

The given rectangular garden has width, w=3ft and length, l=2y\:ft.

The perimeter of a rectangle is calculated using the formula;

P=2l+2w

We substitute the given dimensions into the formula to get;

P=2(2y)+2(3)

\Rightarrow P=4y+6

We substitute;

y=6 to obtain;

\Rightarrow P=4(6)+6

Simplify;

\Rightarrow P=24+6

\Rightarrow P=30ft

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The relationship is linear.

The reason why is because each time x increases by 1, the value of y increases by 3. In other words, the slope is 3 and it is constant no matter what two points you pick
x = input
y = output

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Extra Info:
slope = rise/run
slope = (change in y)/(change in x)
slope = 3/1
slope = 3
The y intercept is (0,6). Think backwards in terms of the pattern going on. 
Or you can plug m = 3 and (x,y) = (1,9) into y = mx+b and solve for b to get b = 6
8 0
3 years ago
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Where to locate the nonnegative abscissa, positive ordinate
Fofino [41]
The location to the nonegative abscissa, positive ordinate is in the Q1 it means it is in the fisrt quadrant as seen in the next image: http://www.mathnstuff.com/math/spoken/here/1words/q/q2.htm
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4 0
3 years ago
Determine if true:<br> 24+24-8x2=80
Savatey [412]
Answer:true

Explanation:
24+24=48
48-8=40
40x2=80
80=80!

So it is true.
5 0
2 years ago
Morgan uses 1/4 of her supply of raisins to make trail mix and 3/8 of her supply of raisins to make cookies. If morgan uses 5 po
arlik [135]

First, we need to find the total fraction of her raisins she used:

1/4 + 3/8 = 2/8 + 3/8

She used 5/8 of her supply.

Knowing this:

5/8x = 5

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8 0
3 years ago
Read 2 more answers
Which ordered pair is generated from the equation shown below? y = 2x + 4 A. (1, 6) B. (1, 2) C. (3, 6) D. (8, 16)
USPshnik [31]

Answer:

The ordered pair generated from the equation is (1, 6).

Step-by-step explanation:

An ordered pair is a pair of numbers, representing two variables, in a specific order. For instance, (<em>x</em>, <em>y</em>) = (1, 2) here <em>x</em> = 1 and <em>y</em> = 2.

The equation provided is:

y=2x+4

Check for all the options:

  • A (1, 6): y=2x+4\Rightarrow\ 6=(2\times 1) +4\Rightarrow\ 6=6
  • B (1, 2): y=2x+4\Rightarrow\ 2=(2\times 1) +4\Rightarrow\ 2\neq 6
  • C (3, 6): y=2x+4\Rightarrow\ 6=(2\times 3) +4\Rightarrow\ 6\neq10
  • D (8, 16): y=2x+4\Rightarrow\ 16=(2\times 8) +4\Rightarrow\ 16\neq20

Thus, the ordered pair generated from the equation is (1, 6).

8 0
3 years ago
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