Answer:
11.2 feet
Step-by-step explanation:
The two furthest corners of the bed are at (8, 6) and (5, 10). To determine which is the furthest from the origin, use the distance formula.
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((8 − 0)² + (6 − 0)²)
d = 10
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((5 − 0)² + (10 − 0)²)
d = 5√5
d ≈ 11.2
Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.
Answer:
The most tickets were written on Saturday .On Saturday 325 tickets were issued
Step-by-step explanation:
The average number of traffic tickets issued in a city on any given day Sunday-Saturday can be approximated by
![T(x) = -6x^2 + 84x + 37](https://tex.z-dn.net/?f=T%28x%29%20%3D%20-6x%5E2%20%2B%2084x%20%2B%2037)
Where x represents the number of days after Sunday
T(x) represents the number of traffic tickets issued.
Sunday = x=0
Monday = x=1
Tuesday = x=2
Wednesday = x=3
Thursday = x =4
Friday = x=5
Saturday = x=6
Substitute x= 0
![T(x) = -6x^2 + 84x + 37\\T(x) = -6(0)^2 + 84(0) + 37\\T(x)=37](https://tex.z-dn.net/?f=T%28x%29%20%3D%20-6x%5E2%20%2B%2084x%20%2B%2037%5C%5CT%28x%29%20%3D%20-6%280%29%5E2%20%2B%2084%280%29%20%2B%2037%5C%5CT%28x%29%3D37)
On Sunday 37 tickets were issued
Substitute x= 1
![T(x) = -6x^2 + 84x + 37\\T(x) = -6(1)^2 + 84(1) + 37\\T(x)=115](https://tex.z-dn.net/?f=T%28x%29%20%3D%20-6x%5E2%20%2B%2084x%20%2B%2037%5C%5CT%28x%29%20%3D%20-6%281%29%5E2%20%2B%2084%281%29%20%2B%2037%5C%5CT%28x%29%3D115)
On Monday 115 tickets were issued
Substitute x= 2
![T(x) = -6x^2 + 84x + 37\\T(x) = -6(2)^2 + 84(2) + 37\\T(x)=181](https://tex.z-dn.net/?f=T%28x%29%20%3D%20-6x%5E2%20%2B%2084x%20%2B%2037%5C%5CT%28x%29%20%3D%20-6%282%29%5E2%20%2B%2084%282%29%20%2B%2037%5C%5CT%28x%29%3D181)
On Tuesday 181 tickets were issued
Substitute x= 3
![T(x) = -6x^2 + 84x + 37\\T(x) = -6(3)^2 + 84(3) + 37\\T(x)=235](https://tex.z-dn.net/?f=T%28x%29%20%3D%20-6x%5E2%20%2B%2084x%20%2B%2037%5C%5CT%28x%29%20%3D%20-6%283%29%5E2%20%2B%2084%283%29%20%2B%2037%5C%5CT%28x%29%3D235)
On Wednesday 235 tickets were issued
Substitute x= 4
![T(x) = -6x^2 + 84x + 37\\T(x) = -6(4)^2 + 84(4) + 37\\T(x)=277](https://tex.z-dn.net/?f=T%28x%29%20%3D%20-6x%5E2%20%2B%2084x%20%2B%2037%5C%5CT%28x%29%20%3D%20-6%284%29%5E2%20%2B%2084%284%29%20%2B%2037%5C%5CT%28x%29%3D277)
On Thursday 277 tickets were issued
Substitute x= 5
![T(x) = -6x^2 + 84x + 37\\T(x) = -6(5)^2 + 84(5) + 37\\T(x)=307](https://tex.z-dn.net/?f=T%28x%29%20%3D%20-6x%5E2%20%2B%2084x%20%2B%2037%5C%5CT%28x%29%20%3D%20-6%285%29%5E2%20%2B%2084%285%29%20%2B%2037%5C%5CT%28x%29%3D307)
On Friday 307 tickets were issued
Substitute x= 6
![T(x) = -6x^2 + 84x + 37\\T(x) = -6(6)^2 + 84(6) + 37\\T(x)=325](https://tex.z-dn.net/?f=T%28x%29%20%3D%20-6x%5E2%20%2B%2084x%20%2B%2037%5C%5CT%28x%29%20%3D%20-6%286%29%5E2%20%2B%2084%286%29%20%2B%2037%5C%5CT%28x%29%3D325)
On Saturday 325 tickets were issued
Hence the most tickets were written on Saturday .On Saturday 325 tickets were issued
Hi there! Hopefully this helps!
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Answer: 14.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
First we calculate <u>3 to the power of 2</u> and get 9.
|
\/
9 + 9 -
= 14.
Now we add<u> 9 + 9</u> to get 18.
18 -
= 14.
Then, we<u> divide 8 by 2</u> to get 4.
18 - 4 = 14.
Then we subtract<u> 4 from 18</u> to get.....You guessed it,<u> 14</u>!
Answer: 88 years
Step-by-step explanation:
Answer:
24.
Step-by-step explanation:
Basically constant of proportionality is a ratio.
We take two points, we'll take the order pair (2,48)
It will always be y/x so y is 48 and x is 2
48/2 - now we simplify
answer: 24
hope this helps! :))