X≈1.5874
(Use the answer in the photo)
Answer:
The distance between the points is approximately 6.4
Step-by-step explanation:
The given coordinates of the points are;
(2, -2), and (6, 3)
The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;
![l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}](https://tex.z-dn.net/?f=l%20%3D%20%5Csqrt%7B%5Cleft%20%28y_%7B2%7D-y_%7B1%7D%20%20%5Cright%20%29%5E%7B2%7D%2B%5Cleft%20%28x_%7B2%7D-x_%7B1%7D%20%20%5Cright%20%29%5E%7B2%7D%7D)
Substituting the known 'x', and 'y', values for the coordinates of the points, we have;
![l_{(2, \, -2), \ (6, \, 3) } = \sqrt{\left (3-(-2) \right )^{2}+\left (6-2 \right )^{2}} = \sqrt{5^2 + 4^2} = \sqrt{41}](https://tex.z-dn.net/?f=l_%7B%282%2C%20%5C%2C%20-2%29%2C%20%5C%20%286%2C%20%5C%2C%203%29%20%7D%20%3D%20%5Csqrt%7B%5Cleft%20%283-%28-2%29%20%20%5Cright%20%29%5E%7B2%7D%2B%5Cleft%20%286-2%20%20%5Cright%20%29%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%5E2%20%2B%204%5E2%7D%20%3D%20%5Csqrt%7B41%7D)
Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.
Answer:
1. coefficient
2. variable
3. constant
Step-by-step explanation:
3/5 + 7/10 = 6/10 + 7/10 = 13/10 = 1 and 3/10 lbs. needed
She has 4/5 *3/1 bags = 12/5 = 2 and 2/5 pounds
2 2/5 - 1 3/10 = 2 4/10 - 1 3/10 = 1 and 1/10 pounds left over
The probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have:
Liam performs the experiment 62 times
Total number of outcomes = 62
A pineapple chew was selected 58 times.
A cherry chew was selected 2 times.
A lime chew was selected 2 times.
Now, the probability that the next chew Liam removes from the bag will be cherry chew:
P = 2/62
P = 1/31
P = 0.0322 or 0.03
Thus, the probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.
Learn more about the probability here:
brainly.com/question/11234923
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