Answer:
B
Step-by-step explanation:
Its just 4.6 :)
if it was negitive it would be 4.6 too
there's a great calculator for this on calculator soup :)
Answer: P=a+b+c
Step-by-step explanation: You use this formula to find perimeter of a triangle.
Answer:
The equation of the line is y = 2x - 2
Step-by-step explanation:
In order to find this, we first need to find the slope. For that we use slope intercept form.
m(slope) = (y2 - y1)/(x2 - x1)
m = (6 - 4)/(4 -3)
m = 2/1
m =2
Now that we have this, we can use the slope and either point in slope-intercept form to get the equation.
y - y1 = m(x - x1)
y - 4 = 2(x - 3)
y - 4 = 2x - 6
y = 2x - 2
Answer:
23 floors
Step-by-step explanation:
Subtract 7 from 30:
30 - 7
= 23
So, she traveled 23 floors.
Answer:
The volume is 
cubic units.
Step-by-step explanation:
The given curve is
The given line is
Equate both the functions to find the intersection point of both line and curve.
According to washer method:
![V=\pi \int_{a}^{b}[f(x)^2-g(x)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7Ba%7D%5E%7Bb%7D%5Bf%28x%29%5E2-g%28x%29%5E2%5Ddx)
Using washer method, where a=0 and b=1, we get
![V=\pi \int_{0}^{1}[(7x)^2-(7x^6)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7B0%7D%5E%7B1%7D%5B%287x%29%5E2-%287x%5E6%29%5E2%5Ddx)
![V=\pi \int_{0}^{1}[49x^2-49x^{12}]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7B0%7D%5E%7B1%7D%5B49x%5E2-49x%5E%7B12%7D%5Ddx)
![V=49\pi \int_{0}^{1}[x^2-x^{12}]dx](https://tex.z-dn.net/?f=V%3D49%5Cpi%20%5Cint_%7B0%7D%5E%7B1%7D%5Bx%5E2-x%5E%7B12%7D%5Ddx)
![V=49\pi [\frac{x^3}{3}-\frac{x^{13}}{13}]_0^1](https://tex.z-dn.net/?f=V%3D49%5Cpi%20%5B%5Cfrac%7Bx%5E3%7D%7B3%7D-%5Cfrac%7Bx%5E%7B13%7D%7D%7B13%7D%5D_0%5E1)
![V=49\pi [\frac{1^3}{3}-\frac{1^{13}}{13}-(0-0)]](https://tex.z-dn.net/?f=V%3D49%5Cpi%20%5B%5Cfrac%7B1%5E3%7D%7B3%7D-%5Cfrac%7B1%5E%7B13%7D%7D%7B13%7D-%280-0%29%5D)
![V=49\pi [\frac{1}{3}-\frac{1}{13}]](https://tex.z-dn.net/?f=V%3D49%5Cpi%20%5B%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B1%7D%7B13%7D%5D)
Therefore the volume is cubic units.
