The equation that is given in this item can be written for clarity as follows:
g(x) = 1/(x - 5) + 2
It can be seen that the x-component is subtracted with 5 and the g(x) which would lie in the y-axis is added with two. This suggests that the graph of this equation is shifted to the right by 5 units and upwards by 2 units compared to the graph of the parent function.
Answer:
55°
Step-by-step explanation:
total angle of a triangle is 180°
we are given 2 angles
85+40+ x = 180
180-125 = 55° (x)
Given:


To find:
The third term of the sequence.
Solution:
We have,

For n=2, we get


![[\because b(1)=-12]](https://tex.z-dn.net/?f=%5B%5Cbecause%20b%281%29%3D-12%5D)
For n=3, we get


![[\because b(2)=-48]](https://tex.z-dn.net/?f=%5B%5Cbecause%20b%282%29%3D-48%5D)
Therefore, the 3rd term of the sequence is -192.
Answer:
See below
Step-by-step explanation:
1. (refresh if you cant see it)

2.
2(x + 3) = 20
Distribute.
2x + 6 = 20
2x + 3 = 20
Your answer is false.
3.
x
-2 because even though it includes the expression "x>5", those values are also above -2, including 5.
The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.
Step-by-step explanation:
Let,
The longer leg = x
The shorter leg = x-7
Hypotenuse = x+7
Using Pythagoras theorem;

Either,
x= 0
Or,
x-28=0 =>x=28
As length cannot be zero, therefore,
Longer side = 28cm
Shorter side = x-7 = 28-7 = 21cm
Hypotenuse = x+7 = 28+7 = 35cm
The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.
Keywords: triangle, pythagoras theorem
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