Answer:
16
Step-by-step explanation:
Perfect square in the quadratic from ax² + bx + c
You know an equation is perfect when:
2√(ax²)√(c) = bx
Substitute x² for ax² and 8x for bx. Then isolate c by doing the reverse operations.
2√(ax²)√(c) = bx
2√(x²)√(c) = 8x
2x√c = 8x Divide both sides by 2x
√c = 4 Square both sides to isolate c.
c = 16
The missing constant term is 16.
Check answer:
x² - 8x + 16
(x - 4)²
= (x - 4)(x - 4)
= x² - 4x - 4x + 16
= x² - 8x + 16
Answer:
The answer is Area=24
Step-by-step explanation:
You use the formula B*H/2=A
So 12*4=48/2=24
Hope this helps!
Note that
- 12=2·2·<u>3</u>;
- 20=2·2·5;
- 36=2·2·<u>3</u>·3.
The common factors of these three numbers are 2, 2. Also numbers 12 and 36 have one more common factor <u>3</u>, then the least common multiple is
LCM(12,20,36)=2·2·<u>3</u>·5·3=180 sec=3 min (here first you write all common factors between all three numbers, then between two numbers and at last all remaining factors).
Answer: all three experiments will need to be checked after 3 minutes passed, then after 6 minutes passed, then after 9 minutes passed and so on.
1. 13/15
2. 1595.25
3. 462
I hope it helps.