Answer:
![\sqrt{2} a](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20a)
Step-by-step explanation:
The distance between point (x1,y1) and (x2,y2) on a coordinate plane is given by expression ![\sqrt{(x1-x2)^2+(y1-y2)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x1-x2%29%5E2%2B%28y1-y2%29%5E2%7D)
In the problem given coordinate points are
(0, a) and (a, 0).
Thus, distance between these points are given by
![distance = \sqrt{(x1-x2)^2+(y1-y2)^2}\\=>distance = \sqrt{(0-a)^2+(a-0)^2}\\=>distance = \sqrt{(a)^2+(a)^2}\\\\=>distance = \sqrt{2a^2}\\=>distance = \sqrt{2} a](https://tex.z-dn.net/?f=distance%20%3D%20%5Csqrt%7B%28x1-x2%29%5E2%2B%28y1-y2%29%5E2%7D%5C%5C%3D%3Edistance%20%3D%20%5Csqrt%7B%280-a%29%5E2%2B%28a-0%29%5E2%7D%5C%5C%3D%3Edistance%20%3D%20%5Csqrt%7B%28a%29%5E2%2B%28a%29%5E2%7D%5C%5C%5C%5C%3D%3Edistance%20%3D%20%5Csqrt%7B2a%5E2%7D%5C%5C%3D%3Edistance%20%3D%20%5Csqrt%7B2%7D%20a)
Thus , expression
gives the distance between point (0, a) and point (a, 0) on a coordinate grid.
Answer:
Logarithm base 6 of 1 is<u> 0</u>.
Answer: c
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Given:
On every 3 DVDs she rents, 1 DVD is received for free
Rent of each DVD = $3
Total amount paid = $114
Now,
The total number of DVDs she took on rent =
or
The total number of DVDs she took on rent =
or
The total number of DVDs she took on rent = 38
also,
For every 3 DVDs she gets 1 Free DVD
thus,
For every 1 DVD she gets
free DVD
therefore,
For 38 DVD she gets
free DVD
or
she gets 12.67 DVDs free
Since,
the DVDs cannot be given in fraction
Hence she will get 12 free DVDs
Answer:
Kiesha paid $12.
Step-by-step explanation:
40% of 20 is 8. So you subtract 8 from 20 and that gives you the amount she paid.