Answer:
0
Step-by-step explanation:
The determinant of this matrix is zero (0).
Answer:
a. x² + 10x + 25
Step-by-step explanation:
because
(x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25
so, it is a perfect square of (x + 5).
The polynomial remainder theorem says that the remainder when dividing a polynomial

by a linear divisor

is simply

.
If

, then the remainder upon dividing by

is

You could also verify this by actually computing the quotient and remainder.
Answer:
6
Step-by-step explanation:
Suppose the width is "a". Then the length is 2a.
2(a²) =72 Divide both sides by 2
a²= 36
a=6
We know that
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. (Intersecting Secant-Tangent Theorem)
so
ST²=RT*QT
RT=7 in
QT=23+7-----> 30 in
ST²=7*30-----> 210
ST=√210-----> 14.49 in
the answer is
RT=14.49 in