Answer:
Therefore
and 
Step-by-step explanation:
Remember that if
= Identity Matrix
then 
.
Also remember that for any invertible matrix
Identity Matrix.
Therefore
Therefore
and
Answer:
(- 3, 5 )
Step-by-step explanation:
Given the 2 equations
y = - x + 2 → (1)
y = - 2x - 1 → (2)
Using substitution method.
Substitute y = - x + 2 into (2)
- x + 2 = - 2x - 1 ( add 2x to both sides )
x + 2 = - 1 ( subtract 2 from both sides )
x = - 3
Substitute x = - 3 into (1)
y = - (- 3) + 2 = 3 + 2 = 5
Solution is (- 3, 5 )
Formula for perimeter of rectangle:
P=2(L+w)
P=2L+2w
Here Perimeter, p= 72 ft
And scale factor of length and width=3.5 which means rectangle is enlarged.
So perimeter of rectangle= 3.5 x 72
P=252ft
Answer: 252 ft
Mean = (8 + 9 + 10 + 16 + 17) / 5 = 60/5 = 12.
x - mean:
8 - 12 = -4, -4² = 16
<span>9 - 12 = -3, -3² = 9
</span>
<span>10 - 12 = -2, -2² = 4
</span>
<span>16- 12 = 4, 4² = 16</span>
<span>17- 12 = -5, -5² = 25
</span>
Sum of the squares = 16 + 9 + 4 + 16 +25 = 70
Variance = 70/5 = 14
Variance = 14
