Answer:
2
Step-by-step explanation:
the answer is number 2 dm me for more info
You can use the Pythagorean theorem, a^2+b^2=c^2, to solve this.
b= square-root of (c^2)-(a^2)
b= square-root of (9^2)-(2^2)
b= 8.77.... which in the exact form is square root of 77.
Step-by-step explanation:
![90 + 90 + 52 + x = 360 \\ x = 360 - 90 - 90 - 52 \\ x = 128](https://tex.z-dn.net/?f=90%20%2B%2090%20%20%2B%2052%20%20%2B%20x%20%3D%20360%20%5C%5C%20x%20%3D%20360%20-%2090%20-%2090%20-%2052%20%5C%5C%20x%20%3D%20128)
Answer:
The solution is:
![-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}](https://tex.z-dn.net/?f=-7r-4%5Cge%20%5C%3A%5C%3A4r%2B2%5Cquad%20%5C%3A%3A%5Cquad%20%5C%3A%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ar%5Cle%20%5C%3A%5C%3A-%5Cfrac%7B6%7D%7B11%7D%5C%3A%5C%5C%20%5C%3A%5C%3A%5Cmathrm%7BDecimal%3A%7D%26%5C%3Ar%5Cle%20%5C%3A%5C%3A-0.54545%5Cdots%20%5C%3A%5C%5C%20%5C%3A%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%5C%3A%2C%5C%3A-%5Cfrac%7B6%7D%7B11%7D%5D%5Cend%7Bbmatrix%7D)
Please check the attached line graph below.
Step-by-step explanation:
Given the expression
![-7r-4\ge \:4r+2](https://tex.z-dn.net/?f=-7r-4%5Cge%20%5C%3A4r%2B2)
Add 4 to both sides
![-7r-4+4\ge \:4r+2+4](https://tex.z-dn.net/?f=-7r-4%2B4%5Cge%20%5C%3A4r%2B2%2B4)
Simplify
![-7r\ge \:4r+6](https://tex.z-dn.net/?f=-7r%5Cge%20%5C%3A4r%2B6)
Subtract 4r from both sides
![-7r-4r\ge \:4r+6-4r](https://tex.z-dn.net/?f=-7r-4r%5Cge%20%5C%3A4r%2B6-4r)
Simplify
![-11r\ge \:6](https://tex.z-dn.net/?f=-11r%5Cge%20%5C%3A6)
Multiply both sides by -1 (reverses the inequality)
![\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)](https://tex.z-dn.net/?f=%5Cleft%28-11r%5Cright%29%5Cleft%28-1%5Cright%29%5Cle%20%5C%3A6%5Cleft%28-1%5Cright%29)
Simplify
![11r\le \:-6](https://tex.z-dn.net/?f=11r%5Cle%20%5C%3A-6)
Divide both sides by 11
![\frac{11r}{11}\le \frac{-6}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B11r%7D%7B11%7D%5Cle%20%5Cfrac%7B-6%7D%7B11%7D)
Simplify
![r\le \:-\frac{6}{11}](https://tex.z-dn.net/?f=r%5Cle%20%5C%3A-%5Cfrac%7B6%7D%7B11%7D)
Therefore, the solution is:
![-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}](https://tex.z-dn.net/?f=-7r-4%5Cge%20%5C%3A%5C%3A4r%2B2%5Cquad%20%5C%3A%3A%5Cquad%20%5C%3A%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ar%5Cle%20%5C%3A%5C%3A-%5Cfrac%7B6%7D%7B11%7D%5C%3A%5C%5C%20%5C%3A%5C%3A%5Cmathrm%7BDecimal%3A%7D%26%5C%3Ar%5Cle%20%5C%3A%5C%3A-0.54545%5Cdots%20%5C%3A%5C%5C%20%5C%3A%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%5C%3A%2C%5C%3A-%5Cfrac%7B6%7D%7B11%7D%5D%5Cend%7Bbmatrix%7D)
Please check the attached line graph below.