(2 points) Consider the linear system y⃗ ′=[−35−23]y⃗ . Find the eigenvalues and eigenvectors for the coefficient matrix. ????1=
1 answer:
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we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Combine like terms
Divide by both sides
therefore
<u>the answer is</u>
the value of p in the linear equation is
Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is
.
The wire length is 14 ft longer than height
, hence
.
Thus we get a right triangle with hypotenuse , perpendicular
, and base
; therefore, the Pythagorean theorem gives
which upon expanding we get:
further simplification gives
,
which is a quadratic equation with solutions
Since the first solution will give the triangle base length of
which is negative; therefore, we disregard it and pick the solution
.
Hence, the height of the pole is 105ft.