Answer:
41 and 42
Step-by-step explanation:
Let the integers be x and x + 1
=> x + x + 1 = 85
=> 2x + 1 = 85
=> 2x = 84
=> x = 84/2
=> x = 41
Integers are :
41 and 42
If you would like to write the equation in the above form, you can calculate this using the following steps:
x^2 - 8x + 13 = 0
(x - 4)^2 = x^2 - 8x + 16
(x - 4)^2 - 3 = 0
(x - 4<span>)^2 = 3
</span>
The correct result would be (x - 4<span>)^2 = 3.</span>
Answer:
f(x) is shifted 7 units to the right.
Okay, take a look at diagram 1 (I know it's rubbish I did it on paint :D), this shows all the information you've given in the question. The two coordinates and the distance between them.
Now if we draw additional lines on this diagram, we can make a right-angled triangle (this is on diagram 2). We can also work out the lengths of the additional sides because we know both coordinates at the end-points of the additional lines.
Finally because this is a right-angled triangle, Pythagoras' theorem must apply to its sides meaning



therefore x=5.