As we move from point Z to point Y, x increases by 8 and y increases by 3. Thus the length of line segment ZY is sqrt(8^2 + 3^2) = sqrt(73), by the Pythagorean Theorem. That's approx. 8.54.
You could also leave your answer in the form √(8^2 + 3^2).
<h2>1.</h2>
Firstly, combine like terms: 
Next, subtract r on both sides of the equation: 
Next, add 8 onto both sides of the equation: 
Lastly, divide both sides by 6 and <em><u>your answer will be r = 3.</u></em>
<h2>2.</h2>
Firstly, multiply both sides by e: 
Lastly, divide both sides by 3, and <em><u>your answer will be
</u></em>

Substitute
, so that
, and

which is separable as

Integrate both sides with respect to
. For the integral on the left, first split into partial fractions:



Solve for
:






Replace
and solve for
:


Now use the given initial condition to solve for
:

so that the particular solution is

Answer:
-17
Step-by-step explanation:
-6-11=-17