Answer:
y=6x+7
Step-by-step explanation:
that is the answer i hope this helps.
Square root of 45 is 6.708… then the square root of 18 is 4.242… so 11?
Answer:
11,10.45
Step-by-step explanation:
4.4/8=0.55
6.05/0.55=11
11*0.55=0.45
Answer:
11 km/hr.
Step-by-step explanation:
Given information:
Simulated speed = 20/km/h
Time = 15 mins = 1/4 hr = 0.25 hr
Distance Covered as per simulated speed = ![20\times \frac{1}{4}=5km](https://tex.z-dn.net/?f=20%5Ctimes%20%5Cfrac%7B1%7D%7B4%7D%3D5km)
Position of Julian according to the app =
.
Actual distance covered by the bike is
![Distance= 5 - 2.25 = 2.75km](https://tex.z-dn.net/?f=Distance%3D%205%20-%202.25%20%3D%202.75km)
Formula for speed:
![\text{Average Speed}=\frac{Distance}{Time}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20Speed%7D%3D%5Cfrac%7BDistance%7D%7BTime%7D)
![\text{Average Speed}=\frac{2.75}{0.25}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20Speed%7D%3D%5Cfrac%7B2.75%7D%7B0.25%7D)
![\text{Average Speed}=11](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20Speed%7D%3D11)
Therefore, the average speed of Julian is 11 km/hr.
Answer: ![\Big\{\pm 4\sqrt{5} \Big\}](https://tex.z-dn.net/?f=%5CBig%5C%7B%5Cpm%204%5Csqrt%7B5%7D%20%5CBig%5C%7D)
This is the shorthand way of writing ![\Big\{4\sqrt{5}, -4\sqrt{5} \Big\}](https://tex.z-dn.net/?f=%5CBig%5C%7B4%5Csqrt%7B5%7D%2C%20-4%5Csqrt%7B5%7D%20%5CBig%5C%7D)
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Work Shown:
![x^2 - 80 = 0\\\\x^2 = 80\\\\x = \pm\sqrt{80}\\\\x = \pm\sqrt{16*5}\\\\x = \pm\sqrt{16}*\sqrt{5}\\\\x = \pm4\sqrt{5}\\\\x = 4\sqrt{5} \ \text{ or } \ x = -4\sqrt{5}\\\\](https://tex.z-dn.net/?f=x%5E2%20-%2080%20%3D%200%5C%5C%5C%5Cx%5E2%20%3D%2080%5C%5C%5C%5Cx%20%3D%20%5Cpm%5Csqrt%7B80%7D%5C%5C%5C%5Cx%20%3D%20%5Cpm%5Csqrt%7B16%2A5%7D%5C%5C%5C%5Cx%20%3D%20%5Cpm%5Csqrt%7B16%7D%2A%5Csqrt%7B5%7D%5C%5C%5C%5Cx%20%3D%20%5Cpm4%5Csqrt%7B5%7D%5C%5C%5C%5Cx%20%3D%204%5Csqrt%7B5%7D%20%5C%20%5Ctext%7B%20or%20%7D%20%5C%20x%20%3D%20-4%5Csqrt%7B5%7D%5C%5C%5C%5C)
The plus or minus is needed because squaring a negative leads to a positive. As another example, x^2 = 25 has x = 5 and x = -5 as the two solutions. Note that x^2 = (-5)^2 = (-5)*(-5) = 25.
Also, note that the 80 was broken up into 16*5. This was done to simplify the square root. We pull out the largest factor that's a perfect square.
So that's how we get to the solution set
. The curly braces tell the reader that they are dealing with a set.