Answer:
The answer is
<h2>
![\sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: units](https://tex.z-dn.net/?f=%5Csqrt%7B101%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%2010.05%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20units)
</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
![d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7Bx1%20-%20x2%7D%29%5E%7B2%7D%20%2B%20%20%28%7By1%20-%20y2%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(4,-9) and (-6,-10)
The distance between them is
![d = \sqrt{ ({4 + 6})^{2} + ( { - 9 + 10})^{2} } \\ = \sqrt{ {10}^{2} + {1}^{2} } \\ = \sqrt{100 + 1} \: \: \\ = \sqrt{101} \: \: \: \: \: \: \: \: \: \\ = 10.04987...](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7B4%20%2B%206%7D%29%5E%7B2%7D%20%20%2B%20%28%20%7B%20-%209%20%2B%2010%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B10%7D%5E%7B2%7D%20%2B%20%20%7B1%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B100%20%2B%201%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B101%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20%5C%5C%20%20%3D%2010.04987...)
We have the final answer as
![\sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: units](https://tex.z-dn.net/?f=%20%5Csqrt%7B101%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A%2010.05%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20units)
Hope this helps you
Answer:
5. not a function
6. function
7. not a function
8 function
9. not a function
10 function
Step-by-step explanation:
5. this fails the vertical line test. Since a vertical line would touch more than one point this is not a function
6. this is a function. Each input (or x) has only one output, so it is a function
7. This is not a function . X=2 goes to more than one y value x =2 goes to y=5 and y=6. so it is a relation not a function
8. this passes the vertical line test. Since a vertical line does not touch more than one point this is a function
9. This is not a function . X=5 goes to more than one y value x =5 goes to y=-4 and y=1. so it is a relation not a function
10. this is a function. Each input (or x) has only one output, so it is a function
Answer:
Generally, the data is arranged from smallest to largest: First quartile: the lowest 25% of numbers. Second quartile: between 25.1% and 50% (up to the median) Third quartile: 51% to 75% (above the median)
Step-by-step explanation:
Answer:
$170
Step-by-step explanation:
Let's say that x represents the amount of hours, so therefore, x will be replaced by 3:
y = (40 * 3) + 50
So, solve inside the parentheses:
y = (40 * 3) + 50
y = 120 + 50
Solve:
y = 120 + 50
y = 170
So, a jet ski would cost $170 to rent for 3 hours
Hope this helps :)
Answer:
$3975
Step-by-step explanation:
Given data
base salary of $350 per week
6% commission on sales
If sales is $3,750
Commision will be
=6/100* $3,750
=0.06* $3,750
=$225
Hence the earning for the week is
=3,750+225
=$3975