Answer:
![\displaystyle \frac{2(x + 4)}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B2%28x%20%2B%204%29%7D%7B3%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Simplify</u>
- [Fraction] Factor numerator:
![\displaystyle \frac{4(x + 4)}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B4%28x%20%2B%204%29%7D%7B6%7D)
- [Fraction] Reduce:
![\displaystyle \frac{2(x + 4)}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B2%28x%20%2B%204%29%7D%7B3%7D)
Answer:
B 12.68
Step-by-step explanation:
you will need to find the distance between each segment-
so the length of DC, CF, FE, ED
![d=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%20%20%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%20%20%5E%7B2%7D%20%20%7D)
DC:
D(-2,-1) C(-1,2)
![d=\sqrt{(-1--2)^{2} +(2--1)^{2} } \\d=\sqrt{1^{2}+3^{2} } \\d=\sqrt{10} =3.16](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-1--2%29%5E%7B2%7D%20%2B%282--1%29%5E%7B2%7D%20%7D%20%5C%5Cd%3D%5Csqrt%7B1%5E%7B2%7D%2B3%5E%7B2%7D%20%20%7D%20%5C%5Cd%3D%5Csqrt%7B10%7D%20%3D3.16)
CF:
C(-1,2) F(1,1)
![d=\sqrt{(1--1)^{2} +(1-2)^{2} } \\d=\sqrt{2^{2}+-1^{2} } \\d=\sqrt{4+1} \\d=\sqrt{x} 5=2.24](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%281--1%29%5E%7B2%7D%20%2B%281-2%29%5E%7B2%7D%20%7D%20%5C%5Cd%3D%5Csqrt%7B2%5E%7B2%7D%2B-1%5E%7B2%7D%20%20%7D%20%5C%5Cd%3D%5Csqrt%7B4%2B1%7D%20%5C%5Cd%3D%5Csqrt%7Bx%7D%205%3D2.24)
FE
F(1,1) E(2,-2)
![d=\sqrt{(2-1)^{2} +(-2-1)^{2} } \\d=\sqrt{1^{2} +(-3)^{2} } \\d=\sqrt{1+9} \\d=\sqrt{10}= 3.16](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%282-1%29%5E%7B2%7D%20%2B%28-2-1%29%5E%7B2%7D%20%7D%20%5C%5Cd%3D%5Csqrt%7B1%5E%7B2%7D%20%2B%28-3%29%5E%7B2%7D%20%7D%20%5C%5Cd%3D%5Csqrt%7B1%2B9%7D%20%5C%5Cd%3D%5Csqrt%7B10%7D%3D%203.16)
ED
E(2,-2) D(-2,-1)
![d=\sqrt{(-2-2)^{2} +(-1--2)^{2} } \\d=\sqrt{(-4)^{2}+1^{2} } \\d=\sqrt{16+1} \\d=\sqrt{17}= 4.12\\](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-2-2%29%5E%7B2%7D%20%2B%28-1--2%29%5E%7B2%7D%20%7D%20%5C%5Cd%3D%5Csqrt%7B%28-4%29%5E%7B2%7D%2B1%5E%7B2%7D%20%20%7D%20%5C%5Cd%3D%5Csqrt%7B16%2B1%7D%20%5C%5Cd%3D%5Csqrt%7B17%7D%3D%204.12%5C%5C)
3.16+2.24+3.16+4.12= 12.68
Answer:
The least common denominator is 21
Step-by-step explanation:
3 & 7 equal 21 which is the least common factor that it equals
Answer:
(-9,5)
Step-by-step explanation:
the midpoint occurs 5 units to the right of the endpoint. using this we can deduce that the other endpoint should also be 5 units right to the midpoint