Answer:
Step-by-step explanation:
A quadratic equation has one root if the discriminant is 0.
That is we need 
for this particular question.
Compare the following to find 
:
The variable 
is representative of the variable 
here.
Plug in into :
Subtract 4 on both sides:
Divide both sides by 16:
Reduce:
Answer: 1,811 square foot
Step-by-step explanation:
Hi, to answer this question we have to solve the equation given, by substituting P = 4,148 and f=190 in the equation.
P = 1.85s + 4.2f
4,148 = 1.85s +4.2 (190)
Solving for s:
4,148 = 1.85s +798
4,148-798 =1.85s
3,350 = 1.85s
3,350/1.85 =s
s = 1,810.81 = 1,811 square foot (rounded)
Feel free to ask for more if needed or if you did not understand something.
Hello!
To find the volume of a cylinder, use the formula: V = πr²h.
In the formula, r is the radius, and h is height of the figure.
In the given figure, the height of the cylinder is 8 feet and the radius is 5 feet. With those values, we can find the volume of the given figure.
V = π(5)²(8)
V = π(25)(8)
V = 200π, 628.32 (multiplied by π), 628 (multiplied by 3.14)
Therefore, the volume of this cylinder is 628.32 feet cubed.
9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
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b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
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c) Equating the expressions for area, we have ...
w(4w -15) = w²
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d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
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e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
