Answer:
Step-by-step explanation:
Let .
and
The graph of the two equations are shown in the attachment.
The points where the two graphs intersected are:
The x-coordinates of the intersection points are the solutions to .
Therefore the solutions are:
Answer
Length = 10 ft
Width = 5 ft
Explanation
Area of the rectangle given = 50 ft²
Let the width of the rectangle be x
So this means the length of the rectangle will be 3x - 5
What to find:
The dimensions of the rectangle.
Step-by-step solution:
Area of a rectangle = length x width
i.e A = L x W
Put A = 50, L = 3x - 5, W = x into the formula.
The quadratic equation can now be solve using factorization method:
Since the dimension can not be negative, hence the value of x will be = 5.
Therefore, the dimensions of the rectangle will be:
Answer:
D
Step-by-step explanation:
The formula for volume of cone is
Where
V is the volume
r is the radius of the circular base
h is the height of the cone
<em>In the diagram shown, we can clearly see that height is 12, radius is 9. We can simply plug them into the formula and get our exact answer (leaving pi as pi):</em>
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<em>correct answer is D</em>