Answer:
5
Step-by-step explanation:
Use the distance formula
d=![\sqrt{(1+4)^{2}+(1-1)^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%281%2B4%29%5E%7B2%7D%2B%281-1%29%5E%7B2%7D%20%20%7D)
![d=\sqrt{5^{2}+0^{2} }](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B5%5E%7B2%7D%2B0%5E%7B2%7D%20%20%7D)
![d=\sqrt{25+0} \\d=\sqrt{25} \\d=5](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B25%2B0%7D%20%5C%5Cd%3D%5Csqrt%7B25%7D%20%5C%5Cd%3D5)
Hope this helps!
Yellow:blue is a ratio of 2:3, meaning that 2/5 of the desired mixture is yellow. From this, you need to find how much yellow is necessary for 20 ounces. Well, 2/5 of the 20 ounces will be yellow paint, while the other 3/5 will be blue. So she will need 8 ounces of yellow paint to get 20 ounces of the desired mixture. Hope this helps! :)
Answer:
(-1,-2)
Step-by-step explanation:
Generally, the absolute value function can be expressed like so:
f(x) = y = a|x-h|+k, where vertex: (h,k)
Rewriting our function here ever so slightly gives us: y = 3|x-(-1)|+(-2)
So the vertex is at (-1,-2)