Answer:
5 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1 )^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%20%29%5E2%20%20%20%7D)
with (x₁, y₁ ) = (6, 4) and (x₂, y₂ ) = (3, 8)
d = ![\sqrt{(3-6)^2+(8-4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%283-6%29%5E2%2B%288-4%29%5E2%7D)
= ![\sqrt{(-3)^2+4^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-3%29%5E2%2B4%5E2%7D)
= ![\sqrt{9+16}](https://tex.z-dn.net/?f=%5Csqrt%7B9%2B16%7D)
= ![\sqrt{25}](https://tex.z-dn.net/?f=%5Csqrt%7B25%7D)
= 5
I think it’s c for this question
Answer:
B. x < -8 or x > 8
Step-by-step explanation:
You can use process of elimination to solve this problem by going through every solution and testing them out, but let's jump right to B.
Process:
You know that since the inequality states that x^2 has to be greater than 64, x has to be more than 8, or less than -8.
This is because 8^2 = 64, and -8^2 = 64, and the inequality requires the answer to be more than 64.
Looking at B., you can see that if x is < -8, the square of, for example, -9, would be 81. This is greater than 64, so this works!
Now, B. also has an alternative. The 'or' is a major clue to which is the correct answer, since the square root of any number can be positive or negative. (-8^2 = 8^2)
The 'or' states that x must be greater than 8. So, for example, if we take the square of 10, we get 100, and that is also greater than 64.
We've proven that this solution is accurate for both parts, so it is definitely the one we want!
Hope this helps!
The equation 25x+1295=212000 models the situation. The bill had charges of 8428.2 minutes
Step-by-step explanation:
Given,
Monthly rate = $1295
Per minute charges = $25
Bill for x minutes = $212000
As x are the total minutes.
Per minute charges * Total minutes + Monthly rate = Bill for x minutes
25x+1295=212000
![25x+1295-1295=212000-1295\\25x=210705](https://tex.z-dn.net/?f=25x%2B1295-1295%3D212000-1295%5C%5C25x%3D210705)
Dividing both sides by 25
![\frac{25x}{25}=\frac{210705}{25}\\x=8428.2](https://tex.z-dn.net/?f=%5Cfrac%7B25x%7D%7B25%7D%3D%5Cfrac%7B210705%7D%7B25%7D%5C%5Cx%3D8428.2)
The equation 25x+1295=212000 models the situation. The bill had charges of 8428.2 minutes
Keywords: division, subtraction
Learn more about division at:
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I think the answer is that they all ran the same
I cant answer the other part