Answer:
The circle is centered at (-8,3) and has a diameter of 20 units
Step-by-step explanation:
we know that
The equation of a circle in center radius form is equal to
where
(h,k) is the center of the circle
r is the radius of the circle
In this problem we have
so
The center is the point (-8,3)
The radius is 
so
The diameter is two times the radius
therefore
The circle is centered at (-8,3) and has a diameter of 20 units
The standard form of a quadratic equation is ,
ax² + bx + c = 0.
And the formula to find the discriminant is b² - 4ac.
Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,
2x² – 9x + 2+1 = –1 + 1
2x² – 9x + 3 = 0
Next step is to compare the given equation with this equation to get the value of a, b and c.
After comparing the equations we will get a = 2, b = -9 and c = 3.
So, discriminant = b²- 4ac
=( -9)²-4 (2)(3)
= 81 - 24
= 57
So, discriminant of the given equation is 57.
57 is greater than 0 and square root of 57 will result real number.
So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.
I think Its 66 cm. Hope This Helped! Good Luck...
Answer:
Option C.
Step-by-step explanation:
It is given that radius of circle X is 6 units and radius of circle Y is 2 units.
Here, circle Y is smaller and circle X is larger.
If we translate the circles so they share a common center point, and after that we dilate circle Y by a scale factor of 3, then we get circle which is equal to circle X.
We know that, after dilation the figure and its image are similar.
Hence, we can say that both circles are similar.
Therefore, the correct option is C.
<span>Answers:
V = (15-2x)(8-2x)x
V = 120x -46x²+ 4x³
V' = 120 -92x + 12x²
0 = 120 -92x + 12x²
x = (92±52)/24
x = 6 or 5/3
Pick x = 5/3
Volume = (15-2*5/3)(8-2*5/3)*5/3
= 90.74 inÂł
To justify x = 5/3 is the max
V" = -92 + 24x
V"(5/3) = -92 + 24(5/3) <0 negative.
Volume V(5/3) is max because the function is
concave down with V"<0.</span>
