If two lines are parallel to one another, then their slopes are identical. The slope in the line above is 3/4. Therefore, a line parallel to that line will also have a slope of 3/4, it will just have a different y-intercept.
Answer:x=5 or x=−5
Step-by-step explanation:Step 1: Take square root.
x=±√25
x=5 or x=−5
Answer:
A full circle is 360 degrees so 2/3 is 120
Step-by-step explanation:
Answer:

Step-by-step explanation:
y′′ + 4y′ − 21y = 0
The auxiliary equation is given by
m² + 4m - 21 = 0
We solve this using the quadratic formula. So

So, the solution of the equation is

where m₁ = 3 and m₂ = -7.
So,

Also,

Since y(1) = 1 and y'(1) = 0, we substitute them into the equations above. So,


Substituting A into (1) above, we have

Substituting B into A, we have

Substituting A and B into y, we have

So the solution to the differential equation is
