Answer:
Step-by-step explanation:
Use the nth tern equation of the AP
We have
and ![a_{10}=25](https://tex.z-dn.net/?f=a_%7B10%7D%3D25)
Find the value of d
- 25 = - 2 + (10 - 1)d
- 25 + 2 = 9d
- 27 = 9d
- d = 27/9
- d = 3
Correct choice is a)
Given:
The table of values.
To find:
The slope and y-intercept for this line.
Solution:
From the given table, we have three (-4,6), (0,3), (4,0).
We need to find the slope and y-intercept for this line.
Consider any two points from the given points.
Consider the line passes through the points (0,3) and (4,0). So, the slope of the line is:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m=\dfrac{0-3}{4-0}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B0-3%7D%7B4-0%7D)
![m=\dfrac{-3}{4}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-3%7D%7B4%7D)
The line passes through the point (0,3). Here the x-coordinate is 0. So, the y-intercept is 3.
Therefore, the slope of the line is
and the y-intercept of the line is 3.
Answer:
7) ![y = - \frac{5}{3}x](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%7B5%7D%7B3%7Dx)
8) ![y = \frac{1}{2}(3x - 1)](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7D%283x%20-%201%29)
Step-by-step explanation:
7) The equation of the straight line passing through the ordered pair (-3,5) and (3,-5) is given by
![\frac{y - 5}{5 - (- 5)} = \frac{x - (- 3)}{- 3 - 3}](https://tex.z-dn.net/?f=%5Cfrac%7By%20-%205%7D%7B5%20-%20%28-%205%29%7D%20%3D%20%5Cfrac%7Bx%20-%20%28-%203%29%7D%7B-%203%20-%203%7D)
⇒ -3(y - 5) = 5(x + 3)
⇒ -3y + 15 = 5x + 15
⇒ 5x + 3y = 0
⇒
(Answer)
8) The equation of the straight line passing through the ordered pair (5,7) and (11,16) is given by
![\frac{y - 7}{7 - 16} = \frac{x - 5}{5 - 11}](https://tex.z-dn.net/?f=%5Cfrac%7By%20-%207%7D%7B7%20-%2016%7D%20%3D%20%5Cfrac%7Bx%20-%205%7D%7B5%20-%2011%7D)
⇒ 2(y - 7) = 3(x - 5)
⇒ 2y - 14 = 3x - 15
⇒ 3x - 2y - 1 = 0
⇒
(Answer)
A1=8 because we are using the sequence formula for a geometric sequence
Answer:
Perimeter = 64m
Step-by-step explanation:
I can only help for Perimeter.
12+20+12+8+8+4=64m