Answer:
The common difference (or common ratio) = 0.75
Step-by-step explanation:
i) let the first term be
= 80
ii) let the second term be
=
. r = 80 × r = 60 ∴ r =
= 0.75
iii) let the third term be
=
. r = 60 × r = 45 ∴ r =
= 0.75
iv) let the fourth term be
=
. r = 45 × r = 33.75 ∴ r =
= 0.75
Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.
So for this you need to set the two equations equal to each other. 20+.05x=10+.07x then solve. Subtract .05 from both sides and get 20=10+.02x. Then subtract 10 from the other side and get 10=.02x Isolate x by dividing 10 by .02. This leaves you with the answer of 500 texts.
Answer:
-1
Step-by-step explanation:
Use the slope intercept formula(y=mx+b) to find the slope of a line.
First, you will want to put everything into it's proper order, so you will get -y=-x+5.
You cannot have a negative y, so divide everything by -1 and you will get y=x-5.
1 is the slope. Now that you know that, you will want to find the reciprocal. To find the reciprocal, you will need to swap the numerator and the denominator and then swap it's sign, whether that is positive or negative..
The reciprocal of 1 is -1. -1 is the slope of the perpendicular line