Answer: 789.39
Step-by-step explanation: Just subtract 89.51 from 878.9.
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(x-12)(x-12) would factor to x²-24x+144.
(x-12)(x+12) = x²+144
Option C is correct :)
Answer:
C and D
Step-by-step explanation:
Equating the line A and the parabola, we get
-3x + 2 = x² - 3x + 4
0 = x² - 3x + 4 +3x - 2
0 = x² + 2
-2 = x²
which has no real solutions. Then, the line A and the parabola don't intersect each other.
Equating the line B and the parabola, we get
-3x + 3 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 3
0 = x² + 1
-1 = x²
which has no real solutions. Then, the line B and the parabola don't intersect each other.
Equating the line C and the parabola, we get
-3x + 5 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 5
0 = x² - 1
1 = x²
√1 = x
which has 2 solutions, x = 1 and x = -1. Then, the line C and the parabola intersect each other.
Equating the line D and the parabola, we get
-3x + 6 = x² - 3x + 4
0 = x² - 3x + 4 + 3x - 6
0 = x² - 2
2 = x²
√2 = x
which has 2 solutions, x ≈ 1.41 and x ≈ -1.41. Then, the line D and the parabola intersect each other.
Answer:
(1,-3.7)
Step-by-step explanation:
subtract the y axis to go down
5 - 8.7 = -3.7
Answer:
7
Step-by-step explanation:
[(1/3 – 1/9)² + (1/3)³] : (1/3)⁴
Next, we shall simplify (1/3 – 1/9)². This is illustrated below:
(1/3 – 1/9)² = ((3 – 1)/9)² = (2/9)²
[(1/3 – 1/9)² + (1/3)³] : (1/3)⁴
= [(2/9)² + (1/3)³] : (1/3)⁴
= [4/81 + 1/27] : 1/81
= [(4 + 3)/81 ] : 1/81
= 7/81 : 1/81
= 7/81 ÷ 1/81
Invert
= 7/81 × 81/1
= 7