Answer:
UV corresponds to RS.
corresponds to 
Step-by-step explanation:
Given
and 
Transformation: Rigid
Required
Determine the true options
When a rigid transformation occurs from SRQ to VUT, the following are the corresponding sides:
SR to VU, SQ to VT, RQ to UT
And the corresponding angles are:
<S to <V, <R to <U and <Q to <T
From the corresponding sides above, we have:
SR to VU
Rewrite:
RS to UV
Hence: (c) is correct
From the corresponding angles above, we have:
to
Hence:
(b) is correct
The characteristic solution follows from solving the characteristic equation,
so that
A guess for the particular solution may be
, but this is already contained within the characteristic solution. We require a set of linearly independent solutions, so we can look to
which has second derivative
Substituting into the ODE, you have
Therefore the particular solution is
Note that you could have made a more precise guess of
but, of course, any solution of the form
is already accounted for within
.
Answer:
x = 1, y = 4
Step-by-step explanation:
y = 4x
x + y = 5
Since 4x is equal to the variable y, we can substitute it in for y in the second equation.
x + (4x) = 5
Solve for x.
x + 4x = 5
5x = 5
5x/5 = 5/5
x = 1
Now that we have solved for x, we need to solve for y.
y = 4x
x = 1 so substitute the x with 1.
y = 4(1)
y = 4
We can plug both of our answers into any one of the given equations to check our work
x + y = 5
x = 4 and y = 1
4 + 1 = 5
5 = 5
Our answers check out!
The definition of a rate in math is, the speed of something being gained in a problem, let's say we have a hot pipe that can full up a pool in 6 hours, our rate would be 1/6 of the pool per hour.
Answer:
x= 2
Step-by-step explanation:
Isolate the radical
Raise each side of the equation to the power of 3
