Answer:

Step-by-step explanation:
<u>Exponents Properties</u>
We need to recall the following properties of exponents:


We are given the expression:

We need to express the following expression in terms of n.

It's necessary to modify the expression to use the given equivalence.
Recall
. Thus:

Applying the property:

Substituting the given expression:

Or, equivalently:

Answer:
1.5 is the slope of the graph.
Step-by-step explanation:
slope of the graph :-
=》

=》

( by taking coordinates, (20,50) and (0,20) )
=》

=》

=》

Right now you have a/3 = 7. You cannot know what a is yet because it is being divided by 3.
You just need to figure out a way of getting rid of that 3 so you just have a by itself. The way you can get rid of the 3 is by multiplying a/3 by 3, as that will just leave you with a (multiplying is the opposite of dividing so it cancels out).
However, as you’re multiplying a/3 by 3, you also have to multiply 7 by 3 (which is 21) as you have to do the multiplication on both sides of the equation.
Therefore, you’re left with a = 21
Answer:
Step-by-step explanation:
-8y-4x^3-1
Answer:
Mark and Lila are 29.83 meters apart.
Step-by-step explanation:
If we draw a triangle with the information given (see image attached), we have that the angle Lila-Avery-Mark is equal to 70°. Then, to find the distance between Mark and Lila, we just need to use the law of cosines, using the two sides given and the angle between them:
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 30^2 + 20^2 - 2*30*20*cos(70)
c^2 = 900 + 400 - 1200*0.342
c^2 = 889.6
c = 29.83 m
Mark and Lila are 29.83 meters apart.