Answer:
C₂₃ = -186
↓
C₁₃ = -32
↓
C₃₁ = 6
↓
C₁₁ = 27
↓
C₂₁ = 28
↓
C₃₃ = 38
↓
C₂₂ = 56
↓
C₃₂ = 90
↓
C₁₂ = 115
Step-by-step explanation:
The given matrices are;
The cross product of the matrices is found as follows;
C₁₁ = 1×5 + 7×3 + (-1) × (-1) = 27
C₁₂ = 1×1 + 7×15 + (-1)×(-9) = 115
C₁₃ = 1×7 + 7×(-2) + (-1)×25 = -32
C₂₁ = 5×5 + (-2)×3 + (-9) × (-1) = 28
C₂₂ = 5×1 + (-2)×15 + (-9)×(-9) = 56
C₂₃ = 5×7 + (-2)×(-2) + (-9)×25 = -186
C₃₁ = (-3)×5 + 8×3 + 3 × (-1) = 6
C₃₂ = (-3)×1 + 8×15 + 3×(-9) = 90
C₃₃ = (-3)×7 + 8×(-2) + 3×25 = 38
Therefore, we get;
In increasing order, we have;
C₂₃ = -186
↓
C₁₃ = -32
↓
C₃₁ = 6
↓
C₁₁ = 27
↓
C₂₁ = 28
↓
C₃₃ = 38
↓
C₂₂ = 56
↓
C₃₂ = 90
↓
C₁₂ = 115
2. 3.14 times the radius squared
Answer:
$81.94
Step-by-step explanation
I would subtract 5.95 to 75.99 first and get a total of 70.04 and put it off to the side then I would find out what 7.5 of the total purchase is (75.99) and that is 5.70 rounded and in the paragraph it said "whatever one is bigger" and in this case the 5.95 is bigger so you would add that to your total and get $81.94
Step-by-step explanation:
red y = -3/2 x - 3 m = -3/2 (y2-y1) / (x2 - x1) b = -3
blue y = 2x + 3 m = 2 rise/run b = 3
black your turn m = ? (0, -1) and (3, 0) two points on the black line
m = ? (y2-y1) / (x2 - x1) = (0-(-1)) / (3 - 0) = (0+1)/(3-0)
m = ?
b = the y value when x = 0, which is one of the points
I honestly do not know but if you put it in the calculator I am pretty sure it will tell you