Answer:
x = 15 ft
y = 15 ft
A(max) = 225 ft²
Step-by-step explanation:
Let call "x " and " y " sides of the rectangle x (side paralll to the northern boundary, then:
A(r) = x*y and 4*x + 2*2*y = 120 or 4*x + 4*y = 120
4*x + 4*y = 120 ⇒ x + y = 30 ⇒ y = 30 - x
Area of the garden as a function of x is:
A(x) = x* ( 30 - x ) ⇒ A(x) = 30*x - x²
Taking derivatives on both sides of the equation
A´(x) = 30 - 2*x
A´(x) = 0 ⇒ 30 - 2*x = 0
2*x = 30
x = 30/2
x = 15 ft
And y = ( 30 - x )
y = 15 ft
A(max) = 15*15
A(max) = 225 ft²
Answer:
Diego has 7
Step-by-step explanation:
So if Susan has 21 and she has 3 times as much money as Diego the equation is 21 divided by 3. 21 divided by 3 is 3 groups of 7 so the answer is 7
Answer:
x = 10
Step-by-step explanation:
By using the similar theorem of a triangle, we can find the value of x
From the diagram;
2x-12/4 = 6+2x-12/4+3
2x-12/4 = 2x-6/7
Cross multiply
4(2x-6) = 7(2x-12)
8x - 24 = 14x - 84
8x - 14x = -84 + 24
-6x = -60
x = 60/6
x = 10
Hence the vaue of x is 10
Answer:
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Step-by-step explanation:
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Sorry i fell on my keyboard i dont know i would say its C
Answer:
C)
Step-by-step explanation:
