Answer:
The answer is the square root of 8, or 2root2.
Step-by-step explanation:
Use the distance formula.
d = sqrt((-3-(-5))^2 + (-3-(-1)))
d = sqrt(2^2 + 2^2)
d = sqrt(4 + 4)
d = sqrt8
d = sqrt4 * sqrt2
d = 2 * sqrt2
$25+$40 x number of hours worked.
For example, if he worked 3 hours it would cost $25+$40 x 3hrs= $145
The answer is -59 , you have the wrong answer choices
we could look at the picture with a bit less lines, check the picture below.
that simply means that those two blue angles are linear angles and therefore add up to 180°.
![\bf (x^2-6x+83)+(106)=180\implies x^2-6x+189=180 \\\\\\ x^2-6x+9=0~~~~ \begin{cases} (-3)(-3)=\stackrel{constant}{9}\\[0.8em] -3-3=\stackrel{\stackrel{\textit{middle~term}}{coefficient}}{-6} \end{cases}\implies (x-3)(x-3)=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=3~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%28x%5E2-6x%2B83%29%2B%28106%29%3D180%5Cimplies%20x%5E2-6x%2B189%3D180%20%5C%5C%5C%5C%5C%5C%20x%5E2-6x%2B9%3D0~~~~%20%5Cbegin%7Bcases%7D%20%28-3%29%28-3%29%3D%5Cstackrel%7Bconstant%7D%7B9%7D%5C%5C%5B0.8em%5D%20-3-3%3D%5Cstackrel%7B%5Cstackrel%7B%5Ctextit%7Bmiddle~term%7D%7D%7Bcoefficient%7D%7D%7B-6%7D%20%5Cend%7Bcases%7D%5Cimplies%20%28x-3%29%28x-3%29%3D0%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20x%3D3~%5Chfill)
Answer:
m - n = 501
Step-by-step explanation:
Remark
The first thing you have to do is find the number of odd and even numbers. This is where you have to be careful because there is a danger of being out by one.
equation
l = a + (n - 1)*d
Solution even
l = 1000
a = 2
d = 2
1000 = 2 + (n - 1)*2
998/2 = (n - 1) * 2 / 2
499 = n - 1
n = 500
Solution odd
l = 1001
a = 1
d = 2
1001 = 1 + (n - 1)*2
1000 = (n - 1)*2
1000/2 = (n - 1)2/2
500 = n - 1
501 = n
Sum Even of even numbers from 1 to 1001
Givens
a = 2
n = 500
l = 1000
Equation
Sum = (a + l ) * n / 2
Solution
Sum = (2 + 1000)*500/2
Sum = 1002 * 250
Sum = 250500
Sum of Odd numbers from 1 to 1001
a = 1
l = 1001
n = 501
Equation
sum = (a + l)*n/2
sum = (1 + 1001) * 501
sum = (1002)*501 / 2
Sum = 251001
Answer
m - n = 251001 - 250500 = 501
