Answer:
slope: -1/2
y-intercept: -2
Step-by-step explanation:
f(x) = mx+b
m is slope
b is the y-intercept
so
if f(x) = -1/2x - 2
then
the slope or m is -1/2
and the y-intercept or b is -2
An equation is written in a correct way if the equation is
balanced. If you want to find out if the equation is balanced, you have to
count how many molecules of each element is present and then just balance the
equation on the left side and the right side.
Answer:
x = 20
Step-by-step explanation:
3 (x-8) +2x = 76
3x - 24 +2x = 76
3x+2x = 76+24
5x = 100
x = 20
Answer:
69.73 (units)
Step-by-step explanation:
Let's find the volume of the prism first.
Prism:
The dimensions of this prism are 6 x 5 x 4.
The formula to calculate the volume of this prism is b * h
b = 24 (6*4)
h = 5
V = 24 * 5
V = 120
Now we need to find the volume of the hole so that we can subtract it from the volume of the prism.
Cylinder:
The hole is a cylinder, with a height of 4 and a radius of 2.
The formula for finding the volume of a cylinder is πr^2 * h
r = 2
h = 4
V = (π * 2^2) * 4
V = 50.27
Now, subtract the volume of the cylinder from the volume of the prism:
120 - 50.27 = 69.73
And that is your answer!
Hope this helps!
Let x be the number.
x-x²=2/9, so 9x-9x²=2 or 9x²-9x+2=0=(3x-2)(3x-1). Therefore x=2/3 or 1/3.
Check: 2/3-4/9=6/9-4/9=2/9 and 1/3-1/9=3/9-1/9=2/9.
