Answer:
y = 8x + 2
Step-by-step explanation:
Slope interrcept form is
y = mx + b
m is the slope = 8
b is the y-intercept = 2
y = 8x + 2
An angle with a measure that equals the measure of a square corner, because the angle of a square equals 90
Okay, so the first thing we have to do is take 6ft and convert it into inches so we get the equation (6x12)+6 6 times 12 is 72 so that gives us 72in plus 6 which is 78 and with that answer we take 78in and divide it by 6.17 which is 12.18. She has a long arm measuring i while feet and 18 inches lol
Answer:
yp = -x/8
Step-by-step explanation:
Given the differential equation: y′′−8y′=7x+1,
The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)
First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;
y′′−8y′=0
The auxiliary equation will give us;
m²-8m = 0
m(m-8) = 0
m = 0 and m-8 = 0
m1 = 0 and m2 = 8
Since the value of the roots are real and different, the complementary solution (yc) will give us
yc = Ae^m1x + Be^m2x
yc = Ae^0+Be^8x
yc = A+Be^8x
To get yp we will differentiate yc twice and substitute the answers into the original DE
yp = Ax+B (using the method of undetermined coefficients
y'p = A
y"p = 0
Substituting the differentials into the general DE to get the constants we have;
0-8A = 7x+1
Comparing coefficients
-8A = 1
A = -1/8
B = 0
yp = -1/8x+0
yp = -x/8 (particular integral)
y = yc+yp
y = A+Be^8x-x/8
The answer is D. Good luck on your test or homework!