First subtract 4 then divide 2 so u can isolate x
Solve for zzz: -0.25z = -1.25−0.25z=−1.25minus, 0, point, 25, z, equals, minus, 1, point, 25 z =\,z=z, equals
tia_tia [17]
i need an actual equation, no one is going to do any with that
Answer:
<h2>y = 2x - 5</h2>
Step-by-step explanation:
2x - y = 5 <em>subtract 2x from both sides</em>
2x - 2x - y = -2x + 5
-y = -2x + 5 <em>change the signs</em>
y = 2x - 5
<span>center of mass = (0, 0, 96/13) exactly (0, 0, 7.3846) approximately.
The object described is a spherical cap for a sphere with a radius of 10. Since the sphere is centered at the origin, the center of mass will have X and Y coordinates of 0 and we only need to find the Z coordinate. The formula for the geometric centroid of a spherical cap is:
z = 3(2R - h)^2 / 4(3R - h)
where
z = distance from the center of the sphere
R = radius of sphere
h = distance from base of spherical cap to top of spherical cap
And for a spherical cap of uniform density, the geometric centroid is also known as the center of mass.
Since the sphere has a radius of 10 and is cut by the plane z=6, the value h will be 10-6 = 4. So substitute the known values into the formula:
z = 3(2R - h)^2 / 4(3R - h)
z = 3(2*10 - 4)^2 / 4(3*10 - 4)
z = 3(20 - 4)^2 / 4(30 - 4)
z = 3(16)^2 / 4(26)
z = 3(256) / 104
z = 768/104
z = 96/13
z ~= 7.384615385</span>
Paul y = 2x+6
x intercept when y=0
0 = 2x+6
-6 = 2x
divide by 2
x=-3
Stuart y = mx+2 (y intercept is 2)
one of the points is (-3,0) the same x intercept)
0 = m(-3) +2
subtract 2 from each side
-2 = -3m
divide by -3
2/3 =m
y = 2/3 x+2
Paul y = 2x+6
Stuart y = 2/3 x+2
The slope of Paul's line is greater than Stuart's line.
