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ra1l [238]
3 years ago
9

Hagrid plans to put up new fencing around his rectangular garden. He wants the width of his new garden to be 6 less than the len

gth. The perimeter of the new garden will be 188 feet. Create and use an algebraic equation to find the dimensions (length and width) of Hagrid's new garden. Show your work!
Mathematics
1 answer:
Elanso [62]3 years ago
8 0

Answer:

Lenght=50 feet.

Width=44 feet.


Step-by-step explanation:

1.  He wants the width of his new garden to be 6 less than the length, this can be expressed as following:

W=L-6

Where W is the width L is the length.

2. The perimeter of a rectangle can be calculated with:

P=2L+2W

3. You know the perimeter, therefore, you can substitute W=L-6 into the equation of the perimeter and solve for the length:

2L+2(L-6)=188\\2L+2L-12=188\\4L=200\\L=50 (The length is 50 feet)

3. Then, the width is:

W=L-6

W=50-6=44 (The width is 44 feet)

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Step-by-step explanation:

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(c^3b^1a^4)^4 + 3a^16b^4c^12
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Step-by-step explanation:

5 0
3 years ago
Cody's Gym charges a $15 fee to join and $30 per month. Tyler's Gym charges a $30 fee to join and $20 per month. Write an inequa
posledela

Answer:

<u>After (3/2) months Tyler's gym would be a better deal.</u>

Step-by-step explanation:

Let x the number of months

Cody's Gym charges a $15 fee to join and $30 per month

y₁= 15 + 30x (1)

Tyler's Gym charges a $30 fee to join and $20 per month

y₂ = 15 + 30x (2)

See the attached figure which represent the graph of y₁ (with blue color) and y₂ (with red color)

The point of intersection between y₁ and y₂ is ( 3/2 , 60)

After 3/2 months Tyler's Gym charges will be less than Cody's Gym charges

So, the inequality will be:

<u>After (3/2) months Tyler's gym would be a better deal.</u>

​

3 0
3 years ago
A part of Jennifer’s work is to solve the equation 2(6x^2-3)=11x^2-x is shown below
kotykmax [81]

Answer:

Step-by-step explanation:

2(6x² - 3) = 11x² - x

2*6x² - 2*3 = 11x² - x

12x² - 6 = 11x² -x

Subtract 11x² from both sides

12x² - 11x² - 6 = -x

x² - 6 = -x

x² + x - 6= 0

Sum =1

Product = -6

Factors =  3 , (-2)              { 3*(-2)  = -6   & 3 +(-2) = 1}

x² + 3x - 2x - 6 = 0

x(x + 3) - 2(x + 3)= 0

(x +3)(x - 2) = 0

7 0
2 years ago
find x if the distance between points L and M is 15 and point M is located in the first quadrant. L=(-6,2) M=(x,2)​
aivan3 [116]

Answer:

Therefore,

x = 9

Step-by-step explanation:

Given:

Let,  

point L( x₁ , y₁) ≡ ( -6 , 2)

point M( x₂ , y₂ )≡ (x , 2)

l(AB) = 15 units  (distance between points L and M)

To Find:    

x = ?

Solution:  

Distance formula between Two points is given as

l(LM)^{2} = (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}

Substituting the values we get

15^{2}=(x--6)^{2}+(2-2)^{2}\\\\225=(x+6)^{2}

Square Rooting we get

(x+6)=\pm \sqrt{225}=\pm 15\\\\x+6 = 15\ or\ x+6 = -15\\\\x= 9\ or\ x = -21

As  point M is located in the first quadrant

x coordinate and y coordinate are positive

So x = -21 DISCARDED

Hence,

x = 9

Therefore,

x = 9

3 0
3 years ago
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