Answer:
![\sqrt{89}](https://tex.z-dn.net/?f=%5Csqrt%7B89%7D)
Step-by-step explanation:
distance = ![\sqrt{(x_{2}- x_{1})^{2} + { (y_{2} - y_{2} } ){^2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-%20x_%7B1%7D%29%5E%7B2%7D%20%20%20%2B%20%7B%20%28y_%7B2%7D%20-%20y_%7B2%7D%20%20%7D%20%29%7B%5E2%7D%20%20%7D)
Let:
(x₁ , y₁) = (0 , 5)
(x₂ , y₂) = (8 , 0)
Plug in the corresponding numbers to the corresponding variables:
Remember to follow PEMDAS. Solve the parenthesis first:
distance = ![\sqrt{(8- 0)^{2} + { (0 - 5 } ){^2} }](https://tex.z-dn.net/?f=%5Csqrt%7B%288-%200%29%5E%7B2%7D%20%20%20%2B%20%7B%20%280%20-%205%20%20%7D%20%29%7B%5E2%7D%20%20%7D)
distance = ![\sqrt{(8)^2 + (-5)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%288%29%5E2%20%2B%20%28-5%29%5E2%7D)
Solve for the powers next:
distance = ![\sqrt{(8)^2 + (-5)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%288%29%5E2%20%2B%20%28-5%29%5E2%7D)
distance = ![\sqrt{64 + 25}](https://tex.z-dn.net/?f=%5Csqrt%7B64%20%2B%2025%7D)
Simplify:
distance = ![\sqrt{64 + 25}](https://tex.z-dn.net/?f=%5Csqrt%7B64%20%2B%2025%7D)
distance = ![\sqrt{89}](https://tex.z-dn.net/?f=%5Csqrt%7B89%7D)
~
Answer:
.3 feet
Step-by-step explanation:
3.8 - 3.5 = .3
To find the rate of commission, divide the amount of commission by his total sales:
2704.94 / 38642.00 = 0.07 = 7%
The answer is D. 7%
#1) 9=6 - 3 |4p + 9| now we're going to distribute
9= 6 - 12p - 27
9= 6 - 27 - 12p
9= - 21 - 12p
9 + 21= -12p
30= - 12p Now you are going to divide both side by -12
-12:30 = -12:-12p
-5/2= p final answer
#2) - |1 + 4a| = -13 now you going to change the sign
-1 - 4a = -13
-4a = -13 + 1
-4a = -12 now divide both side by -4
-4a:-4 = -12:-4
a = 3 final answer
Commission = 31800-19800 = 12000
Rate = commission/sales = 12000/1200000= 1/100 = 1%