Answer:
x
=
ln
(
3
)
7
ln
(
3
)
+
ln
(
7
)
Step-by-step explanation:
Answer:
AB = 9, BC = 15
Step-by-step explanation:
Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C
![\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9](https://tex.z-dn.net/?f=%5Ctherefore%20AC%20%3D%20AB%20%2B%20BC%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%2024%20%3D%20x%20%2B%20x%20%2B%206%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%2024%20%3D%202x%20%2B%206%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%2024%20-%206%20%3D%202x%20%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%2018%20%3D%202x%20%5C%5C%3C%2Fp%3E%3Cp%3E%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7B18%7D%7B2%7D%20%20%3D%20x%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20x%20%3D%209)
![\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \: \frac{18}{2} = x \\ \therefore \: x = 9 \\ \because \: AB = x \\ \huge \red{ \therefore AB = 9} \\ \\ \because \:BC = x + 6 \\ \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}](https://tex.z-dn.net/?f=%5Ctherefore%20AC%20%3D%20AB%20%2B%20BC%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%2024%20%3D%20x%20%2B%20x%20%2B%206%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%2024%20%3D%202x%20%2B%206%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%2024%20-%206%20%3D%202x%20%5C%5C%3C%2Fp%3E%3Cp%3E%5Ctherefore%2018%20%3D%202x%20%5C%5C%3C%2Fp%3E%3Cp%3E%20%5Ctherefore%20%5C%3A%20%20%5Cfrac%7B18%7D%7B2%7D%20%20%3D%20x%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20x%20%3D%209%20%5C%5C%20%20%5Cbecause%20%5C%3A%20AB%20%20%3D%20x%20%5C%5C%20%20%5Chuge%20%5Cred%7B%20%5Ctherefore%20AB%20%20%3D%209%7D%20%5C%5C%20%20%5C%5C%20%20%5Cbecause%20%5C%3ABC%20%3D%20x%20%2B%206%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20BC%20%3D%209%20%2B%206%20%5C%5C%20%5Chuge%20%5Cpurple%7B%20%5Ctherefore%20%5C%3A%20BC%20%3D%2015%7D)
Answer:
The slope of the line of best fit is
⇒ 2nd option
Step-by-step explanation:
The formula of the slope of a line is
<em>To find the slope of the best line fit choose two points their positions make the number of the points over the line equal to the number of the points below the line</em>
From the attached graph points (1 , 9) and (8 , 3) are the best choice
∵ The line passes through points (1 , 9) and (8 , 3)
∴
= 1 and
= 8
∴
= 9 and
= 3
- Substitute them in the formula of the slope
∴ ![m=\frac{3-9}{8-1}=\frac{-6}{7}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3-9%7D%7B8-1%7D%3D%5Cfrac%7B-6%7D%7B7%7D)
∴ The slope of the line of best fit is
Answer: (4a - 3b)2
Step-by-step explanation:it stays the same because there is no like terms
Reflection across the x-axis and then translation 5 units left.