Substitute
4x+2=x-4
Then solve
3x=-6
x=-2
Substitute answer into an equation to find y
y=-2-4
y=-6
So you solution is:
(-2,-6)
Answer:
360 cm^2
Step-by-step explanation:
Find the area of each face of the triangular prism.
Imagine the triangular prism as its net, it is composed with 2 triangular faces (these are tye bases of the prism) and 3 rectangular faces.
Areas of the 2 triangular bases (they are similar triangles):
1/2 x 8 cm x 6 cm = 24 cm^2
24 x 2 = 48 cm^2
Area of the rectangular face:
8 x 13 = 104 cm^2
Area of another rectangular face:
6 cm x 13 cm = 78 cm^2
Area of another rectangular face:
13 cm x 10 cm = 130 cm^2
Add up all the areas of all faces:
48 + 104 + 78 + 130 = 360
So the SA is 360 cm^2
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
brainly.com/question/18760518
Answer:
The correct answer is D
Step-by-step explanation:
-20 is your y-intercept and your graph will be increasing
