Answer:
m:![-\frac{1}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
Pick two points (0,5) and (3,4)
use the formula to find slope: ![\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
Insert values: ![\frac{4-5}{3-0}](https://tex.z-dn.net/?f=%5Cfrac%7B4-5%7D%7B3-0%7D)
m:![-\frac{1}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B3%7D)
:-)
Answer:
The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Step-by-step explanation:
Given the sequence
9, 17, 25, 33
a₁ = 9
<em>Determining the common difference</em>
d = 17-9 = 8
d = 25-17 = 8
d = 33-25 = 8
As the common difference between the adjacent terms is same and equal to
d = 8
Therefore, the given sequence is an Arithmetic sequence.
An arithmetic sequence has a constant difference 'd' and is defined by
![a_n=a_1+\left(n-1\right)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%5Cleft%28n-1%5Cright%29d)
substituting a₁ = 9, d = 8 in the equation
![\:a_n=9+8n-8](https://tex.z-dn.net/?f=%5C%3Aa_n%3D9%2B8n-8)
![a_n=8n+1](https://tex.z-dn.net/?f=a_n%3D8n%2B1)
Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Answer:
The ladder is 4.86 foot from the base of the wall .
Step-by-step explanation:
Given as :
The length of the ladder = 28 ft
The ladder makes angle of 80° with the ground
Let The distance of the ladder from the foot of the wall = x ft
Now, From Triangle BAC
Cos angle = ![\dfrac{\textrm Base}{\textrm Hypotenuse}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20Base%7D%7B%5Ctextrm%20Hypotenuse%7D)
I.e Cos 80° = ![\dfrac{\textrm BA}{\textrm AC}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20BA%7D%7B%5Ctextrm%20AC%7D)
Or, 0.1736 = ![\dfrac{\textrm x}{\textrm 28}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20x%7D%7B%5Ctextrm%2028%7D)
Or, x = 0.1736 × 28
∴ x = 4.86 foot
So, The distance of ladder from wall base = x = 4.86 foot
Hence The ladder is 4.86 foot from the base of the wall . Answer
Answer: 23in squared
Step-by-step explanation:
9 plus 4 plus 10
Answer:
Y= -1/2x + 1
Step-by-step explanation:
The equation for a line is Y=Mx+B
M stands for the Slope.
-Slope is rise/run. So, for this graph the line "rises" 1 point and "runs" left 2 points until meeting the line again. This slope is negative because it "runs" to the left.
B stands for the Y-Intercept
-The Y-intercept is the point at which the line crosses the Y axis. For this example, the line crosses the Y-intercept at (0,1).