Answer:
x = 3
y = 8
Step-by-step explanation:
In the given triangle FGH,
m∠F + m∠G + m∠H = 180° [Triangle sum theorem]
60° + 90° + m∠H = 180°
m∠H = 30°
If the given triangles FGH and TUV are congruent, their corresponding sides will be equal in measure.
m∠F = m∠T
7y + 4 = 60°
7y = 56
y = 8
GH ≅ UV
8x - 12 = 12
8x = 24
x = 3
Answer:
the x-axis is the middle horizontal line
the y-axis in the middle vertical line
the origin is (0,0) or where the x and y-axis cross
in the upper left quadrant the x-axis is negative and the y-axis is positive.
in the upper right quadrant the x-axis is positive and so is the y.
in the lower left quadrant both the x and y-axis is negative.
in the lower right quadrant the x-axis is positive and the y-axis is negative.
It looks like the ODE is

with the initial condition of
.
Rewrite the right side in terms of the unit step function,

In this case, we have

The Laplace transform of the step function is easy to compute:

So, taking the Laplace transform of both sides of the ODE, we get

Solve for
:

We can split the first term into partial fractions:

If
, then
.
If
, then
.


Take the inverse transform of both sides, recalling that

where
is the Laplace transform of the function
. We have


We then end up with

ABOUT POINT SLOPE FORM:
- y - Y1 = m(x - X1)
- m represents the slope
- Y1 & X1 is a point
- The form allows you to identify the slope & the point on the line
y - Y1 = m(x - X1)
y - 8 = -1/10(x - 1) -- IN POINT SLOPE FORM
Hope this helps you!!! :)