V=(4/3)pir^2
c=2pir
12=2pir
divide 2
6=pir
divide by pi
6/pi=r
sub for r
V=(4/3)pi(6/pi)^2
V=(4/3)pi(36/(pi^2))
V=(4/3)(36/pi)
V=144/(3pi)
V=48/pi
aprox pi=3.141592
V=15.2788777155
V=15.28 in^3
Hi!
To solve this, we must make an equation in y = mx + b form, where m is the slope and b is the y-intercept.
Since we are looking at a graph with points, it saves us a TON of work, and all we have to do is simply look at the graph. We only need to find m and b, that's it!
M is the slope, and the slope can be represented by the change between points on a line, also known as <em>rise/run. </em>
If we start at point (-4, -1), and go to point (-2, 0), we can see that it goes up 1 and right 2, which would be represented as 1/2.
B is the y-intercept, and that is simply the point that is on the y-axis, which is the point (0, 1), so our number would be 1.
Therefore, plugging these numbers into the equation, our equation is y = <em>1/2</em>x + <em>1</em>
<em></em>
Hope this helps! :D
For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
Answer:
30
Step-by-step explanation:
3x - 27 = x +11
3x -27 +27 = 11 + 27
3x - x = x -x + 38
2x = 38
2x ÷ 2 = 38
X = 19
19 × 3 -27 = 30
Hello
x = 3y - 6
2x - 4y = 8
We need to start by solving 3y - 6 for x
Substitute 3y -6 for x in 2x
2x - 4y = 8
2(3y - 6) - 4y = 8
2y - 12 = 8
2y = 8 + 12
2y = 20
Divide both sides by 2
2y/2 = 20/2
y = 10
Now, substitute 10 for y in x= 3y
x = 3y - 6
x = 3(10) - 6
x = 30 - 6
x= 24
Answer : x = 24 and y=10
I hope this help!
