Let x be the rate of the slower bicyclist and
x + 4 be the rate of the faster bicyclist
Since the bicyclists are headed towards opposite directions, the sum of the distances they covered traveling for one hour and 15 minutes should be equal to 40 km based on the given conditions above. This may be expressed as,
(x)(1.25) + (x + 4)(1.25) = 40
Calculating gives x = 14
Thus, the rate of the bicyclists are 14 km/h and 18 km/h.
Answer:
Area = length * width
112 = (2w+2)*w
112 = 2w^2 + 2w
0 =2w^2 + 2w - 112
0 = w^2 + w - 56
0 = ( w + 8 )( w - 7 )
w+8=0 results in negative measures
w-7=0 --> w = 7
width is 7
length is 16
20, you just need to substitute the x value in the equation
(-2)2-7(-2)+10=
=20
Answer:
31.4 inches
Step-by-step explanation:
If a circle is inscribed in a square then diameter of circle inscribed is same as side as of square.
In the given problem it is given that side of square is 10 inches.
So diameter of circle inscribed is 10 inches
we know radius of circle is half of diameter of circle
Thus, radius of circle inscribed = diameter of circle/2 = 10/2 = 5inches.
Expression to calculate circumference of circle is given by 
where r is the radius of circle.
Thus circumference of circle inscribed is

Thus, circumference of circle inscribed is 31.4 inches

↝ Form into
where a > 0 (Optional)
↝ Multiply -1 for both sides.
↝ Then proceed with the Quadratic Formula.
x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula

↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.
↝ Solution with Real Numbers System ↝ There are no real solutions.
↝ Solution with Complex Number System ↝

Therefore, the answer for Complex Number System is (5±√7i)/2