how did that stup di boy friend beat me in week 6Step-by-step explanation:
Answer: 11 < x < 35
suppose: the length of the third side is x
because x is the third side of a triangle
=> 23 - 12 < x < 23 + 12
⇔ 11 < x < 35
Step-by-step explanation:
Answer:
d) |-5 - (-2)|
..........................
Given:
The equation is:

To find:
The error in the given equation and correct it.
Solution:
We have,

Taking left-hand side, we get

![[\because a^2-b^2=(a-b)(a+b)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D)
![[\because (ab)^x=a^xb^x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28ab%29%5Ex%3Da%5Exb%5Ex%5D)

It is not equal to right-hand side
. In the right hand side, there must be a negative sign instead of positive sign.
Therefore,
.
Answer:
The y-intercept of the function is: b=10
Step-by-step explanation:
Given the table
x y
1 8
2 6
3 4
4 2
Taking any two points to find the slope
The slope between (1, 8) and (2, 6) is:




We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept.
Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

8 = -2(1) + b
8 = -2 + b
b = 8+2
b = 10
Thus, the y-intercept of the function is: b=10