Answer:
68 feet square
Step-by-step explanation:
The rectangle with the maximum area for a given perimeter is a square. The perimeter of a square is 4 times the side length, so the side length of the square area will be ...
(272 ft)/4 = 68 ft
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<em>More formally ...</em>
You can let x represent the length of one side. Then the length of the other side for the given perimeter will be 136 -x, and the area will be the product ...
area = x(136 -x)
The area function is a quadratic with zeros at x=0 and x=136. The vertex (maximum area) will be at the value of x that is on the line of symmetry between these points, at their midpoint: x = (0 +136)/2 = 68. This value of x makes the rectangle a square.
Answer:
Assume the pair of dice are fair; if not, all bets are off!
Color one die green (G) and the other one red (R). There are 36 possibilities in throwing one green and one red die, eg (G1, R1), (G1, R2), etc; (G2, R1), (G2, R2), etc; etc; (G6, R1), (G6, R2), etc.
In the set of possible numbers from throwing a die, there are only 3 possibilities that sum to to 4: (G1, R3), (G2, R2), (G3, R1).
So the answer is 3/36, or one-twelfth.
Answer:
Discriminant = -24
No real roots.
Step-by-step explanation:
x^2 + 2x + 7 = 0
The discriminant = b^2 - 4ac
= 2^2 - 4*1*7
= -24
So there are no real roots.
Answer:
y = 0x + 16
Step-by-step explanation:
Slope of line m = 0
Equation of line in slope point slope form is given as:
This is the required equation in slope intercept form.
Answer:
D) 2√5
Step-by-step explanation:
Pythagorean Theorem
a^2 + b^2 = c^2
2^2 + 4^2 = c^2
4 + 16 = c^2
20 = c^2
√20 = √c^2
2√5 = c