Step-by-step explanation:
x2-x-12<0
x2-x<12
x=12
Hello!
Given the two points,
and
, and to find the distance between these two points is found by using the formula:
![d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%20%2B%20%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D%20)
is assigned to one the points, in this case, is (4, 1).
is assigned to other point, which is (9, 1).
Then, plug in these values into the formula and solve.
![d = \sqrt{(9-4)^{2}-(1-1)^{2}}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%289-4%29%5E%7B2%7D-%281-1%29%5E%7B2%7D%7D%20%20%20)
![d = \sqrt{5^{2}-0^{2}}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B5%5E%7B2%7D-0%5E%7B2%7D%7D%20%20%20%20)
![d = \sqrt{25}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B25%7D%20%20)
![d = 5](https://tex.z-dn.net/?f=%20d%20%3D%205%20)
Therefore, the distance between the two points is 5.
The minimum and maximum amounts that the artist received for her products are 278 and 322
<h3>Part A: Define a variable and write an
absolute value equation to represent the scenario.</h3>
Let the number of prints remaining be x.
The given parameters are:
Total = 300
Amount = 22 within her goal
So, we have the following absolute value equation
|x - 300| = 22
<h3>Part B: Solve the equation, showing all steps.</h3>
In (a), we have:
|x - 300| = 22
Remove the absolute bracket
x - 300 = 22 and x - 300 = -22
Add 300 to both sides
x = 322 and x = 278
<h3>Part C: What are the minimum and maximum amounts that the artist received for her products?</h3>
The minimum and maximum amounts that the artist received for her products are 278 and 322
Read more about absolute value equation at
brainly.com/question/17795998
#SPJ1
Answer:
Step-by-step explanation:
one
Answer:
20%
Step-by-step explanation:
You do 3 divided by 15 which is 0.2, or 20 percent.