Answer:
Length of garden will be 30 metres.
Step-by-step explanation:
Let the Width of garden be x metres.
then,
Length of garden will be (x+6) metres.
Area = Length × Breadth
720 = x X (c+6)
720 = x²+6x
0 = x²+6x-720
As we can see above equation is a quadratic equation in the form of ax²+bx+C.
so,

One of the Roots of the Quadratic equation is 24 and other is -30.
And as we know width of any garden cannot be negative so the width of garden will be 24 metres.
As we got the width,
adding 6 to it will give us the Length,
So,
24 metres + 6 = 30 metres.
Length of the garden is 30 metres.
Hope It Helped You ;)
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Answer:
<h3><em>I gotchu</em></h3><h3><em /></h3><h3><em>These are all fractions btw. </em></h3>
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11. -9/32
12. -3/5
13. 4/7
14. 3/8
15. 3/4
Step-by-step explanation: When you do these problems, it's fairly simple. just make sure you plug the numbers in the correct spots. having a calculator help a lot too!
Answer:
24/25
Step-by-step explanation:
Step 1: Define systems of equation
10x - 16y = 12
5x - 3y = 4
Step 2: Rewrite one of the equations
5x = 4 + 3y
x = 4/5 + 3y/5
Step 3: Solve for <em>y</em> using Substitution
- Substitute 2nd rewritten equation into 1: 10(4/5 + 3y/5) - 16y = 12
- Distribute the 10 to both terms: 40/5 + 30y/5 - 16y = 12
- Simplify the fractions down: 8 + 6y - 16y = 12
- Combine like terms (y): 8 - 10y = 12
- Subtract 8 on both sides: -10y = 4
- Divide both sides by -10: y = 4/-10
- Simply the fraction down: y = -2/5
Step 4: Substitute <em>y</em> back into an original equation to solve for <em>x</em>
- Substitute: 5x - 3(-2/5) = 4
- Multiply: 5x + 6/5 = 4
- Subtract 6/5 on both sides: 5x = 14/5
- Divide both sides by 5: x = 14/25
Step 5: Check to see if solution set (14/25, -2/5) is a solution.
- Substitute into an original equation: 10(14/25) - 16(-2/5) = 12
- Multiply each term: 28/5 + 32/5 = 12
- Add: 12 = 12
Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.
Step 6: Find <em>x</em> <em>- y</em>
x = 14/25
y = -2/5
- Substitute: 14/25 - (-2/5)
- Simplify (change signs): 14/25 + 2/5
- Add: 24/25
Hope this helped! :)