Answer:
Perpendicular slope is
or
.
Step-by-step explanation:
Given:
Let the perpendicular slope be x.
The given slope is ![\frac{6}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B-3%7D)
For perpendicular slopes, the product of the slopes is equal to -1.
Therefore, ![x\times \frac{6}{-3}=-1\\-\frac{6}{3}x=-1\\6x=3\\x=\frac{3}{6}=\frac{1}{2}](https://tex.z-dn.net/?f=x%5Ctimes%20%5Cfrac%7B6%7D%7B-3%7D%3D-1%5C%5C-%5Cfrac%7B6%7D%7B3%7Dx%3D-1%5C%5C6x%3D3%5C%5Cx%3D%5Cfrac%7B3%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore, the perpendicular slope is
or
.
H(17) = 17
Do you need help with the other 2?
Answer:
Slope = ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
Slope of a straight line passing two points
and
is given by the formula,
m = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
From the graph attached,
Line is passing through two points (20, 5) and (80, 20),
Therefore, slope of the line will be,
m = ![\frac{20-5}{80-20}](https://tex.z-dn.net/?f=%5Cfrac%7B20-5%7D%7B80-20%7D)
m = ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
The slope is
.
Three equivalent ratios of 48:36 are 12:9 ,24:18 ,16:12.
The nth term is given by 2ⁿ-1.
The series looks like, 1, 3, 7, 15, 31, 63, 127, ...