You can plug -x - 1 for y in the first equation
2x - (-x - 1) = 10
2x + x + 1 = 10
Combine
3x = 9
Divide
x = 3
Plug 3 for x in any equation ( I'll use th second equation )
y = - (3) - 1
y = - 3 - 1 = -4
x = 3 ; y = -4
(3, -4)
Answer:
24 feet
Step-by-step explanation:
Given that,
Mrs. Booker had to run 8 yards to make it to a safe zone.
We need to convert this distance in feet.
The conversion from yards to feet is as follows :
1 yard = 3 feet
So,
8 yards = 24 feet
Hence, Mrs. Booker had to run 24 feet to make it to a safe zone.
Answer:
Step-by-step explanation:
Given:
The two points on the line are:
Now, for a line with two points on it, the slope of the line is given as:
For the points 
, slope is:
Now, for a line with slope 'm' and a point 
on it is given as:
Plug in all the values and determine the equation of the line. This gives,
Therefore, the equation of the line is:
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
The volume of a rectangle prism is V=whl where w is the width, h is the height, and l is the length. In this case, V=17*15*17, or 4335 cubic inches.
