Answer:
Lavania observed 39 fruit flies after 6 days of observation
Step-by-step explanation:
Let x be the number of fruit flies on the first day of Lavania's study.
After 6 days she had nine more than five times as many fruit flies as when she began the study.
Five times as many fruit flies as when she began the study = 5x
Nine more than five times as many fruit flies as when she began the study=5x+9
The expression to find the population of fruit flies Lavania observed after 6 days is 5x+9
If she observes 20 fruit flies on the first day of the study, then x=6, then
![5x+9=5\cdot 6+9=30+9=39](https://tex.z-dn.net/?f=5x%2B9%3D5%5Ccdot%206%2B9%3D30%2B9%3D39)
Answer: BC = 5.83
Step-by-step explanation:
Luckily, the triangle is placed on the graph nicely so we can count the legs of the triangle:
AB = 5
AC = 3
BC = ?
To find BC, we can simply use the Pythagorean Theorem:
![a^{2}+b^{2}=c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%2Bb%5E%7B2%7D%3Dc%5E%7B2%7D)
5^2 + 3^2 = c^2
25 + 9 = c^2
34 = c^2
Now square root to find c, or BC.
![\sqrt{34}=\sqrt{c^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B34%7D%3D%5Csqrt%7Bc%5E%7B2%7D%20%7D)
c = 5.83 (rounded by nearest hundredth)
The problem is -2a - 5 > 3
we have - 2a>3+5
or - 2a>8 and now we divide by - 2
and a< 8/(-2) or a< -4
That means you have to choose D- the last line
Answer:
D. 21 m
Step-by-step explanation:
I calculated it logically