On a number line, the length of a segment is the absolute value of the difference of the coordinates. So, if point
has coordinate
and point
has coordinate
, we have
![\overline{XY} = |a-b|](https://tex.z-dn.net/?f=%20%5Coverline%7BXY%7D%20%3D%20%7Ca-b%7C%20)
So, you have
![\overline{XY} = |-7-(-2)| = |-7+2| = |-5| = 5](https://tex.z-dn.net/?f=%20%5Coverline%7BXY%7D%20%3D%20%7C-7-%28-2%29%7C%20%3D%20%7C-7%2B2%7C%20%3D%20%7C-5%7C%20%3D%205%20)
![\overline{ZW} = |1-6| = |-5| = 5](https://tex.z-dn.net/?f=%20%5Coverline%7BZW%7D%20%3D%20%7C1-6%7C%20%3D%20%7C-5%7C%20%3D%205%20)
So, yes, they are congruent.
Answer:
Ration is the root word
They all have been described as a rational number because they all have a ratio.
I am so sorry I do not know the last one
Step-by-step explanation:
I hope this helps
Answer:
$7.55
Step-by-step explanation:
We can solve this by using a system of equations. The equations would be set up like this:
![2c + p = 3.15\\3c + 2p = 5.35\\](https://tex.z-dn.net/?f=2c%20%2B%20p%20%3D%203.15%5C%5C3c%20%2B%202p%20%3D%205.35%5C%5C)
Let's isolate a variable in the first equation:
![p = -2c + 3.15](https://tex.z-dn.net/?f=p%20%3D%20-2c%20%2B%203.15)
Now we can plug this in to the second equation:
![3c + 2(-2c + 3.15) = 5.35\\3c - 4c + 6.3 = 5.35\\-c + 6.3 = 5.35 \\-c = -.95\\c = .95](https://tex.z-dn.net/?f=3c%20%2B%202%28-2c%20%2B%203.15%29%20%3D%205.35%5C%5C3c%20-%204c%20%2B%206.3%20%3D%205.35%5C%5C-c%20%2B%206.3%20%3D%205.35%20%5C%5C-c%20%3D%20-.95%5C%5Cc%20%3D%20.95)
Now that we have found c we can find p by plugging c in to an equation
![2(.95) + p = 3.15\\1.9 + p = 3.15\\p = 1.25](https://tex.z-dn.net/?f=2%28.95%29%20%2B%20p%20%3D%203.15%5C%5C1.9%20%2B%20p%20%3D%203.15%5C%5Cp%20%3D%201.25)
We have found both variables now we can use the following equation to answer the question:
![4c + 3p = ?\\4(.95) + 3(1.25) = ?\\3.8+3.75 = 7.55](https://tex.z-dn.net/?f=4c%20%2B%203p%20%3D%20%3F%5C%5C4%28.95%29%20%2B%203%281.25%29%20%3D%20%3F%5C%5C3.8%2B3.75%20%3D%207.55)
Therefore, the price in dollars of 4 cucumbers and 3 peppers is $7.55.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer:
you need to minus it , the answer is 12 , the key word is what percent increase
Step-by-step explanation:
88 - 76 = 12