Hello!
In math, there is always something called the discriminant. This is represented by the equation 
, when a quadratic = 
. The discriminant tells you what roots an equation has. A discriminant of over 0 represents 2 real roots, a discriminant of 0 = 1 real root, and a discriminant of <0 is 0 real roots (2 complex roots)
Now, substitute in the values and solve. In this equation, a = 5, b = 2, c = 1.
Therefore, the discriminant is -16. This means that the equation has no real roots, and has 2 complex roots. Therefore, your answer is D.
Hope this helps!
Answer:
C = 12.56m
Step-by-step explanation:
circumference is the distance around the outside of a circle. The r stands for radius, half way across, from the center(thats the little line on the diagram) "d" stands for diameter. That would be double the radius, bc its all the way across the circle through the center. The formula to find the CIRCUMFERENCE is given, C=pi × d
They told you to use 3.14 for pi. And also the radius is 2, so the diameter is 4
C = pi × d
C = 3.14 × 4
C = 12.56 meters
Answer:
2000
Step-by-step explanation:
For this case what you need to know is that the original volume of the cookie box is:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height.
We have then:
V = (w) * (l) * (h) = 48 in ^ 3
The volume of a similar box is:
V = (w * (2/3)) * (l * (2/3)) * (h * (2/3))
We rewrite:
V = ((w) * (l) * (h)) * ((2/3) * (2/3) * (2/3))
V = (w) * (l) * (h) * ((2/3) ^ 3)
V = 48 * ((2/3) ^ 3)
V = 14.22222222 in ^ 3
Answer:
the volume of a similar box that is smaller by a scale factor of 2/3 is:
V = 14.22222222 in ^ 3
A = 2•3.14•3•8 + 2•3.14•3^2 = 207.34512
