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Answer:
Step-by-step explanation:
7. 15/10 = 24/18
900 ≠ 240
not similar
8. 4/6 = 9/15
54 ≠ 60
not similar
9. x/24 = 9/40
x= 5.4
10. 8.7/x = 6/16
6x = 139.2
x = 23.2
x = 18.7
11. 24/9 = x/45
9x = 1080
x = 120 feet
Answer:
x = 4.65 or x = -0.65 (to 2 d.p)
Step-by-step explanation:
To complete the square, use the formula x² + bx + c = (x + b/2)² - (b/2)² + c
- In this case, x² - 8x - 32 = (x - 4)² - 16 - 32
- This simplifies to (x - 4)² - 48 = 0
To solve this:
- First, add 48 to both sides → (x - 4)² = 48
- Next, square root both sides → x - 4 = ± √48 (remember that the square root of a number always has a positive and negative value)
- Finally, add 4 to both sides → x = 4 ± √7
x has 2 solutions
x = 2 + √7 or x = 2 - √7
x = 4.65 or x = -0.65 (to 2 d.p)
Hope this helps!
