Width = w
Length = 2w + 5/2
Perimeter = 2(Length + Width)
Perimeter = 2( w + 2w + 5/2)
Perimeter = 2(3w + 5/2)
Perimeter = 6w + 5
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Answer: The perimeter is 6w + 5 (Answer D)
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The side length is the square root of the area, so is ...
... √(25/16 ft²) = (√25)/(√16) ft = 5/4 ft
The correct answer is: [B]:
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<span> f(x) = (x - 9)(x + 9)(x + 5); x= 9, -9, -5 .
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</span>
Answer:
a = -6
b = 1
Step-by-step explanation:
The gradient of the tangent to the curve y = ax + bx^3, will be:
dy/dx = a + 3bx²
at (2, -4)
dy/dx = a+3b(2)²
dy/dx = a+12b
Since the gradient at the point is 6, then;
a+12b = 6 ....1
Substitute x = 2 and y = -4 into the original expression
-4 = 2a + 8b
a + 4b = -2 ...2
a+12b = 6 ....1
Subtract
4b - 12b = -2-6
-8b = -8
b = -8/-8
b = 1
Substitute b = 1 into equation 1
Recall from 1 that a+12b = 6
a+12(1) = 6
a = 6 - 12
a = -6
Hence a = -6, b = 1
<span>If (2 − 3i) + (x + yi) = 6, to get x + yi we subtract (2-3i) from both sides of the equation.
</span>(2 − 3i) + (x + yi) - (2 − 3i) = 6 -(2 − 3i)
(x + yi) = 6 - (2 - 3i)
Open the parenthesis taking care of the signs
(x + yi) = 6 - (2 - 3i)
= 6 - 2 + 3i
= 4 + 3i
