Answer:
See below:
Step-by-step explanation:
So we know that there is a
feet long board and that it is split into 6 pieces.
With that information, we can split it by doing the following:
1. ![\frac{3}{4} *\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A%5Cfrac%7B1%7D%7B6%7D)
We can do this because we have a board that is 0.75 feet long and we multiply it by one sixth because we want to divide a fraction and to do that we have to flip the fraction.
After doing that, we get our answer of ![\frac{3}{24}=\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B24%7D%3D%5Cfrac%7B1%7D%7B8%7D)
This means that each piece is
feet long.
Cheers!
54 is the hypotenuse because it is the longest side. Square all of the sides. So 54^2=2916
51^2=2601
22^2=484
Now you have 2916=2601+484
Add the two and they will be greater than 2916. Because of that, you will have an acute triangle because 22^2+51^2>54^2
In short, its B
Answer:
5 hours
Step-by-step explanation:
Step one:'
given data
Angelo charges a one time fee of $50 plus $15 per hour
let the total charge be y
and the number of hours be x
y= 50+15x----------------1
Deborah charges a one time fee of $25 plus $20 per hour
y= 25+20x----------------2
equate 1 and 2 to find x
50+15x=25+20x
collect like terms
50-25= 20x-15x
25= 5x
divide both sides by 5
x= 25/5
x= 5 hours
Answer:
10^0*10^1-1,
10^0*10^1*1^10,
10^0+10^1*1^10,10^0+10^1+1^10
Step-by-step explanation:
Answer:
A. ![(2x-3)(x-1)](https://tex.z-dn.net/?f=%282x-3%29%28x-1%29)
B. ![(1,0) \\(1.5,0)](https://tex.z-dn.net/?f=%281%2C0%29%20%5C%5C%281.5%2C0%29)
![2x^2-5x+3\\\frac{5(+ or -)\sqrt{(-5)^2-(4)(2)(3)} }{2(2)} \\\frac{5(+ or -)\sqrt{25-24} }{4}\\\frac{5(+ or -)\sqrt{1} }{4}\\ \frac{5(+ or -)1 }{4}\\\frac{5+1}{4} or \frac{5-1}{4} \\ \frac{6}{4} =1.5 and \frac{4}{4} =1](https://tex.z-dn.net/?f=2x%5E2-5x%2B3%5C%5C%5Cfrac%7B5%28%2B%20or%20-%29%5Csqrt%7B%28-5%29%5E2-%284%29%282%29%283%29%7D%20%20%7D%7B2%282%29%7D%20%5C%5C%5Cfrac%7B5%28%2B%20or%20-%29%5Csqrt%7B25-24%7D%20%20%7D%7B4%7D%5C%5C%5Cfrac%7B5%28%2B%20or%20-%29%5Csqrt%7B1%7D%20%20%7D%7B4%7D%5C%5C%20%5Cfrac%7B5%28%2B%20or%20-%291%20%20%7D%7B4%7D%5C%5C%5Cfrac%7B5%2B1%7D%7B4%7D%20or%20%5Cfrac%7B5-1%7D%7B4%7D%20%5C%5C%20%5Cfrac%7B6%7D%7B4%7D%20%3D1.5%20%20and%20%5Cfrac%7B4%7D%7B4%7D%20%3D1)
C. Both sides will continue to increase as they go because this is an even degree quadratic equation.
D. You use the two x-intercepts to make sure it is in the correct area and since we know the end behavior all you'd have to assume is that it continues to go up so any negative answers you may accidentally receive would be incorrect.