Answer:
y = 5/4x - 4
Step-by-step explanation:
First, find the slope by doing change in y/change in x
You have the points (4, 1) and (0, -4), so the slope would be:
-4 - 1 / 0 - 4 = -5 / -4 = 5/4
Then, find the y-intercept
It gives you that the y-intercept is (0, -4).
Now put the equation in the form y = mx + b where m is the slope and b is the y-intercept.
You have that m = 5/4 and b = -4, so it would be y = 5/4x - 4.
The formula of a midpoint:
The formula of a distance between two points:
We have the points P(3, 5) and Q(7, 5). Substitute:
<h3>M(5, 5)</h3>
<h3>Answer:</h3><h3>Midpoint = (5, 5)</h3><h3>Distance = 4</h3>
Answer:
90+65=155-180=-25 and take out the -=25 thusAB=25 degrees
Step-by-step explanation:
plz brainest
The general solution of the given differential equation be
For given question,
We have been given a differential equation y'' − y' − 12y = e^(4x)
We need to solve the given differential equation by undetermined coefficients.
We can write given differential equation as where
First solve the corresponding homogeneous differential equation:
y'' - y' - 12y = 0
The characteristic equation is:
m² - m - 12 =0
Let's find the roots of above quadratic equation by factorization.
⇒ m² - m - 12 = 0
⇒ (m - 4)(m + 3) = 0
⇒ m - 4 = 0 OR m + 3 = 0
⇒ m = 4 OR m = -3
Hence the complementary solution is,
Let the general solution of a second order homogeneous differential equation be
The unknown functions C1(x) and C2(x) can be determined from the system of two equations:
from (1),
Substitute this value in equation (2)
and
and
Therefore, the general solution of the given differential equation be
Learn more about the differential equation here:
brainly.com/question/13234334
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Answer:
5
Step-by-step explanation:
To find the slope, rearrange the terms of this equation to y=mx+b form, where m is the slope.
Original equation: 5x-y=2
Subtract 5x to both sides: -y = -5x+2
Multiply both sides by -1: y = 5x-2\
This gives us the slope, which is equal to 5.
Let me know if this helps!