Answer:
2 (x + 3)^2 - 2
Step-by-step explanation:
1. Factor the 2 out of the equation (don't forget about it - it will be used later). This gives you x^2 + 6x + 7
2. Subtract the 7 over. This gives you x^2 + 6x = -7
3. Take b (6), divide it by 2 (3), and square it (9). Then add that to both sides of the equation. This gives you x^2 + 6x + 9 = 2
4. Factor the left side of the equation. This gives you (x + 3)^2 = 2
5. Subtract the 2 over. This gives you (x + 3)^2 - 2
6. Remember that 2 we factored out of the equation earlier? Well that goes in front of the parentheses now, giving you the final answer of 2 (x + 3)^2 -2
Answer:
21/8
Step-by-step explanation:
Simplify the following:
6 + 1/4 - (3 + 5/8)
Put 3 + 5/8 over the common denominator 8. 3 + 5/8 = (8×3)/8 + 5/8:
6 + 1/4 - (8×3)/8 + 5/8
8×3 = 24:
6 + 1/4 - (24/8 + 5/8)
24/8 + 5/8 = (24 + 5)/8:
6 + 1/4 - (24 + 5)/8
24 + 5 = 29:
6 + 1/4 - 29/8
Put 6 + 1/4 - 29/8 over the common denominator 8. 6 + 1/4 - 29/8 = (8×6)/8 + 2/8 - 29/8:
(8×6)/8 + 2/8 - 29/8
8×6 = 48:
48/8 + 2/8 - 29/8
48/8 + 2/8 - 29/8 = (48 + 2 - 29)/8:
(48 + 2 - 29)/8
| 1 |
| 4 | 8
+ | | 2
| 5 | 0:
(50 - 29)/8
| 4 | 10
| 5 | 0
- | 2 | 9
| 2 | 1:
Answer: 21/8
A = (9/6)*10 mm = 15 mm
b = (35/10)*6 mm = 21 mm
The ratio in parentheses is the ratio of corresponding sides in the respective rectangles, so is the scale factor. The unknown dimension is that scale factor applied to the corresponding known dimension.
Answer:
The third answer is correct
Step-by-step explanation:
Solve the inequality by compensating it like an equation.
