3x+5+10x-7=180
13x-2=180
-2 -2
13x=182
/13 /13
X=14
3(14)+5=47
10(14)-7=133
mm
Answer:
See below in bold.
Step-by-step explanation:
Use the point-slope form of a straight line
y - y1 = m(x - x1)
Here m = -5/9 , x1 = 9 and y1 = -3:, so
y - -3 = -5/9(x - 9)
y + 3 = -5/9x + 5
y = -5/9x + 2 is the equation parallel to the given line.
The line perpendicular to the given line will have a slope of - 1 / -5/9
= 9/5 so its equation is
y + 3 = 9/5(x - 9)
y = 9/5x - 81/5 - 3
y = 9/5x - 96/5 .
Answer:
This system has no solution
Step-by-step explanation:
If this is the real question,it has no solution
keeping in mind that radius is half the diameter, we know this cone has a diameter of 2 inches, so it has a radius of 1 inch, kinda small really for ice-cream, but anyhow.
![\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1\\ h=6 \end{cases}\implies V=\cfrac{\pi (1)^26}{3}\implies V=2\pi \implies \underset{\textit{rounded up}}{V\approx 6}](https://tex.z-dn.net/?f=%5Ctextit%7Bvolume%20of%20a%20cone%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B%5Cpi%20r%5E2%20h%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20h%3Dheight%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D1%5C%5C%20h%3D6%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B%5Cpi%20%281%29%5E26%7D%7B3%7D%5Cimplies%20V%3D2%5Cpi%20%5Cimplies%20%5Cunderset%7B%5Ctextit%7Brounded%20up%7D%7D%7BV%5Capprox%206%7D)
GCF is the Greatest Common Factor. It would be the largest number that can divide evenly into all the numbers you need to find the GCF in.
exapmple GCF for 12 and 16
12: 1, 2, 3, 4, 6, 12
16: 1, 2, 4, 8, 16
the largest common number is 4, so 4 is the GCF of 12 & 16
LCM = Least Common Multiple is the smallest number ( other than zero) that is a multiple of both
LCM of 3 and 5
3: 3, 6, 9, 12, 15, 18
5: 5, 10, 15, 20
the first common number is 15, so this is the LCM of 3 & 5
