Call M the midpoint. The coordinate of this point is given by....
M=(x1+x2 /2, y1+y2 /2)
So (3,7)=(x1+0 /2, y1+ -5 /2). or
3= x1/2. or x1=6 and
7=y1-5 /2. or 14=y1-5 or y1=19
B is at the point (6,19)
Equation: a^2 + b^2 = c^2
18^2 + 16^2 = c^2
324 + 256 = c^2
C^2 = square root 580
Square root 580 reduces to 2 square root 145.
As a decimal that is: 24.08
Rounded to the nearest tenth: 24 inches.
I hope this helps! If it does please offer me the brainiest!
I would say that the third one is false.
Answer:
y = (x +2)/(x -3)
Step-by-step explanation:
A rational function is a function (y = ...) that has a definition that is the ratio of two polynomials.
Of the choices listed, the one attached is the rational function.
The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
For more information about differential equation, visit
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