Answer:
<h2>90</h2>
Step-by-step explanation:
![30 \div \frac{1}{3} \\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:30=\frac{30}{1}\\=\frac{30}{1}\div \frac{1}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{30}{1}\times \frac{3}{1}\\\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=30\times \:3\\\\=90](https://tex.z-dn.net/?f=30%20%5Cdiv%20%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%5C%5C%5Cmathrm%7BConvert%5C%3Aelement%5C%3Ato%5C%3Afraction%7D%3A%5Cquad%20%5C%3A30%3D%5Cfrac%7B30%7D%7B1%7D%5C%5C%3D%5Cfrac%7B30%7D%7B1%7D%5Cdiv%20%5Cfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%5Cmathrm%7BApply%5C%3Athe%5C%3Afraction%5C%3Arule%7D%3A%5Cquad%20%5Cfrac%7Ba%7D%7Bb%7D%5Cdiv%20%5Cfrac%7Bc%7D%7Bd%7D%3D%5Cfrac%7Ba%7D%7Bb%7D%5Ctimes%20%5Cfrac%7Bd%7D%7Bc%7D%5C%5C%3D%5Cfrac%7B30%7D%7B1%7D%5Ctimes%20%5Cfrac%7B3%7D%7B1%7D%5C%5C%5C%5C%5Cmathrm%7BApply%5C%3Arule%7D%5C%3A%5Cfrac%7Ba%7D%7B1%7D%3Da%5C%5C%3D30%5Ctimes%20%5C%3A3%5C%5C%5C%5C%3D90)
Answer: -80
Step-by-step explanation:
"The branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs." - Dictonary.com
In simple words, it is a study in math in which you study shapes, lines, planes, and points.
Answer:
it is -1
Step-by-step explanation:
2= 410x+14⇒4x+8=10x+14 ⇒6x=−6 ⇒x=−1
Answer:
5 units
Step-by-step explanation:
Step one:
Given data
Le the first number be x
and the second number be y
So
x*y= 10-----------------1
and
x+y= 7-----------------2
from eqn 1
x= 10/y
put x= 10/y in eqn 2
![10/y+y= 7\\\\10/y= 7-y](https://tex.z-dn.net/?f=10%2Fy%2By%3D%207%5C%5C%5C%5C10%2Fy%3D%207-y)
cross multiply we have
![10=y(7-y)\\\\10=7y-y^2](https://tex.z-dn.net/?f=10%3Dy%287-y%29%5C%5C%5C%5C10%3D7y-y%5E2)
rearrange
![y^2-7y+10=0](https://tex.z-dn.net/?f=y%5E2-7y%2B10%3D0)
the factors of the quadratic expression are
-5 and -2
![y^2-5y-2y+10= 0\\\\y(y-5)-2(y-5) =0\\\\y-2=0\\\\y= 2\\\\y-5= 0\\\\y=5\\\\](https://tex.z-dn.net/?f=y%5E2-5y-2y%2B10%3D%200%5C%5C%5C%5Cy%28y-5%29-2%28y-5%29%20%3D0%5C%5C%5C%5Cy-2%3D0%5C%5C%5C%5Cy%3D%202%5C%5C%5C%5Cy-5%3D%200%5C%5C%5C%5Cy%3D5%5C%5C%5C%5C)
The longest side is 5 units