The first inequality(A) is a function to used it. based on the distance rather than the other
Completing the square has us breaking rules of solving equations and factoring out the greatest common factor, but it is what it is! The first step is to make sure that the coefficient on the x^2 term is a 1 and it is so we are good there. Now subtract 9 from both sides to get x^2 + 16x = -9. Complete the square on the left side by taking half of the linear term (16x) which is 8 and then squaring it to get 64. That's what is added to both sides. Now it looks like this:
x^2 + 16x + 64 = -9 + 64. If you were to write it in vertex form it would look like this: (x+8)^2 - 55 = 0. Now you can use this to plot the vertex of a parabola if you want to: it sits at (-8, -55)
The complete question is
Find the volume of each sphere for the given radius. <span>Round to the nearest tenth
we know that
[volume of a sphere]=(4/3)*pi*r</span>³
case 1) r=40 mm
[volume of a sphere]=(4/3)*pi*40³------> 267946.66 mm³-----> 267946.7 mm³
case 2) r=22 in
[volume of a sphere]=(4/3)*pi*22³------> 44579.63 in³----> 44579.6 in³
case 3) r=7 cm
[volume of a sphere]=(4/3)*pi*7³------> 1436.03 cm³----> 1436 cm³
case 4) r=34 mm
[volume of a sphere]=(4/3)*pi*34³------> 164552.74 mm³----> 164552.7 mm³
case 5) r=48 mm
[volume of a sphere]=(4/3)*pi*48³------> 463011.83 mm³----> 463011.8 mm³
case 6) r=9 in
[volume of a sphere]=(4/3)*pi*9³------> 3052.08 in³----> 3052 in³
case 7) r=6.7 ft
[volume of a sphere]=(4/3)*pi*6.7³------> 1259.19 ft³-----> 1259.2 ft³
case 8) r=12 mm
[volume of a sphere]=(4/3)*pi*12³------>7234.56 mm³-----> 7234.6 mm³
Answer:
Option D
Step-by-step explanation:
Slope-intercept form is:
We first need to find the slope of the line with the points (1,6) and (3, -4).
The slope (or m) is -5.
With this information, we can eliminate A, B, and C, because in the equation the slope is not -5.
D looks promising. Let's make sure that it is correct by finding the y-intercept.
The y-intercept is 11.
So, the equation of the line in slope-intercept form of the line that passes through the points (1,6) and (3,-4) should be , or Option D.