Answer:
3
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
You can fill in the numbers you know: a²+4²=5²
(Hypotenuse must be side c)
Square those numbers and you have: a²+16=25
Subtract 16 from both sides: a²=9
Square root both sides and you get: a=3
Answer:
1/4 is A and 1/20 is B
Step-by-step explanation:
Not much of an explanation needed
Since you have y alone on one side of the equation......
Use substitution and plug in 1/2x-4 for y in the other equation.
![3x+2(1/2x-4)=23\\](https://tex.z-dn.net/?f=3x%2B2%281%2F2x-4%29%3D23%5C%5C)
Distribute
![3x+x-8=23](https://tex.z-dn.net/?f=3x%2Bx-8%3D23)
Combine like terms
![4x-8=23](https://tex.z-dn.net/?f=4x-8%3D23)
Add 8 to both sides
![4x=31](https://tex.z-dn.net/?f=4x%3D31)
Divide by 4
and ![x=31/4](https://tex.z-dn.net/?f=x%3D31%2F4)
Plug this value in for x
![31/4*1/2-4=y](https://tex.z-dn.net/?f=31%2F4%2A1%2F2-4%3Dy)
Simplify
![31/8-4=y](https://tex.z-dn.net/?f=31%2F8-4%3Dy)
Multiply everything by 8 and simplify
![31-32=8y\\-1=8y](https://tex.z-dn.net/?f=31-32%3D8y%5C%5C-1%3D8y)
Divide.....
![y=-1/8](https://tex.z-dn.net/?f=y%3D-1%2F8)
Your answers are:
![y=-1/8\\x=31/4](https://tex.z-dn.net/?f=y%3D-1%2F8%5C%5Cx%3D31%2F4)
The right answer for the question that is being asked and shown above is that:
Two numbers have a sum of 71 and a difference of 37
x + y = 71
x - y = 37
So in order to get the two numbers, here it is:
x + y = 71
x - y = 37
------------
2x = 108
x = 54
y = 71 - 54
y = 17
<span>So the two numbers are 54 and 17</span>
Approximately 1.7 miles per hour