4/5 seconds is 0.8 seconds as a fraction.
Which of the sets of ordered pairs below represents a function? {(1,2), (2,3), (-2,4), (1,5)} {(5,2), (4,3), (-2,4), (1,5)} {(5,
Leto [7]
Notice, the set is just an x,y pair
the set without an X-REPEAT is a function
lets's see the first set for example
![\bf \{(\boxed{1},2), (2,3), (-2,4), (\boxed{1},5)\} \impliedby \textit{ooops, one }\boxed{repea t}}}](https://tex.z-dn.net/?f=%5Cbf%20%5C%7B%28%5Cboxed%7B1%7D%2C2%29%2C%20%282%2C3%29%2C%20%28-2%2C4%29%2C%20%28%5Cboxed%7B1%7D%2C5%29%5C%7D%20%5Cimpliedby%20%5Ctextit%7Booops%2C%20one%20%7D%5Cboxed%7Brepea%20t%7D%7D%7D)
thus is not a function
check the others
Answer:
the ratio is 1 ⅓ to 1; and the unit rate is: 1 ⅓
hope it helps :)
To simplify use the distributive property first. Multiply 6 by each value inside the parentheses:
6(x-4) + 9
6x -24 + 9
Now combine like terms to get the final answer:
6x - 15
The equation of a circle:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
(h, k) - center
r - radius
We have the points A(-1, 7) and B(7, 7). AB is a diameter of a circle.
The midpoint of diameter is a center of a circle.
Calculate this using:
![M\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}](https://tex.z-dn.net/?f=M%5Cleft%28%5Cdfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5C%20%5Cdfrac%7By_1%2By_2%7D%7B2%7D)
Substitute
![M\left(\dfrac{-1+7}{2},\ \dfrac{7+7}{2}\right)\to M(3,\ 7)](https://tex.z-dn.net/?f=M%5Cleft%28%5Cdfrac%7B-1%2B7%7D%7B2%7D%2C%5C%20%5Cdfrac%7B7%2B7%7D%7B2%7D%5Cright%29%5Cto%20M%283%2C%5C%207%29)
Therefore we have h = 3 and k = 7.
Calculate a length of a radius using:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Substitute coordinates of the points (3, 7) and (7, 7):
![r=\sqrt{(7-3)^2+(7-7)^2}=\sqrt{4^2}=4](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%287-3%29%5E2%2B%287-7%29%5E2%7D%3D%5Csqrt%7B4%5E2%7D%3D4)
Your answer is:
![(x-3)^2+(y-7)^2=4^2\\\\\boxed{(x-3)^2+(y-7)^2=16}](https://tex.z-dn.net/?f=%28x-3%29%5E2%2B%28y-7%29%5E2%3D4%5E2%5C%5C%5C%5C%5Cboxed%7B%28x-3%29%5E2%2B%28y-7%29%5E2%3D16%7D)
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You can read the coordinates of the center and length of a radius from a graph.
Look at the picture.