Answer:
here
Step-by-step explanation:
1. point slope
2. standard form
3. slope intercept
Hope this helps!
Answer:b
Step-by-step explanation:
cause
Answer:
x=3, y=-2, z=1
Step-by-step explanation:
I solved by substitution
Answer:
C. 7
Step-by-step explanation:
Therefore, by Basic Proportionality theorem:
![\frac{AP}{PB} = \frac{AQ}{QC} \\\\\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\ \therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}](https://tex.z-dn.net/?f=%20%5Cfrac%7BAP%7D%7BPB%7D%20%3D%20%5Cfrac%7BAQ%7D%7BQC%7D%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%20%5Cfrac%7Bx%7D%7Bx%2B7%7D%20%3D%20%5Cfrac%7Bx-3%7D%7Bx%2B1%7D%20%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7Bx%20-%20x%20-%207%7D%7Bx%20%2B%207%7D%20%20%3D%20%20%5Cfrac%7Bx%20-%203%20-%20x%20-%201%7D%7Bx%20%2B%201%7D%20%20%5C%5C%20%28by%20%5C%3A%20dividendo%29%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B%20-%207%7D%7Bx%20%2B%207%7D%20%20%3D%20%20%5Cfrac%7B%20-%204%7D%7Bx%20%2B%201%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B7%7D%7Bx%20%2B%207%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7Bx%20%2B%201%7D%20%20%5C%5C%20%20%5C%5C%207x%20%2B%207%20%3D%204x%20%2B%2028%20%5C%5C%20%20%5C%5C%207x%20-%204x%20%3D%2028%20-%207%20%5C%5C%20%20%5C%5C%203x%20%3D%2021%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B21%7D%7B3%7D%20%20%5C%5C%20%20%5C%5C%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20x%20%3D%207%7D%7D)
Answer:
B)
4.5 cm
Step-by-step explanation:
The formula for arc length when our central angle is in degrees =
2πr(θ/360)
θ = 86°
Diameter = 6cm Radius = Diameter /2
Radius = 6cm/2 = 3cm
Hence,
Intercepted arc length = 2 × π × 3 (86/360)
= 2 × π × 3 × 0.2388888889
= 4.5029494701 cm
Approximately = 4.5 cm
Option B is the correct answer