22 unit cubes and 2 smaller cubes of volume cubic inch each
Answer:
A) A is an invertible matrix ( TRUE )
B) A is a row equivalent to the n x n identity matrix ( n = 3 ) ( TRUE )
C ) The equation Ax = 0 has only the trivial solution ( TRUE )
D ) The columns of A form a linearly independent set ( TRUE )
Step-by-step explanation:
Assuming a matrix A
![\left[\begin{array}{ccc}1&2&1\\-1&0&3\\4&1&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%261%5C%5C-1%260%263%5C%5C4%261%265%5Cend%7Barray%7D%5Cright%5D)
det A = 1 [ 0 -3 ] + 2 [12 + 5 ] + 1[-1]
= -3 + 34 -1 = 30 ≠ 0
THEREFORE det A = 30 ≠ 0
Attached is the detailed solution of the given statements above
Answer:
17
Step-by-step explanation:
3 x 2.50 = 7.50 (chaperones)
7.50 + 2.50 x 17 = 50
M can be any positive real number.
Explanation:
From f(x) = √(mx) ; if x is posive m has to be positive; if x is negative m has to be negative; if x is cero m can have any value, and the range will always be 0 or positve
From g(x) = m √x; x can only be 0 or positive and the range will have the sign of m.
Given we concluded that the range of f(x) can only be 0 or positive, then me can only be 0 or positive.
Answer:
Step-by-step explanation:
Look at the top triangle.
It is an isosceles triangle because two of the sides are marked equal.
The angles opposite the congruent sides are called base angles. (in the case x and z)
Base angles of an isosceles triangle are equal.
In addition, we use the Triangle angle sum theorem - the sum of the angles in a triangle is 180 degrees
60 + x + y = 180
x+z =120
but x = z so by substitution
x +x = 120
2x = 120
x = 60
z = 60
likewise for the bottom triangle:
50 +50 + Y = 180
Y = 80
