The contrapositive switches the hypothesis and the conclusion and negates both in this form:
Statement: If A, then B
Contrapositive: If not B, then not A.
In this case, the statement is:
<span> "If the lights are off, there is no one inside."
Contrapositive:
If there is someone inside, the lights are on. </span>
ANSWER
![x = 13](https://tex.z-dn.net/?f=x%20%3D%2013)
EXPLANATION
Use the Pythagoras Theorem to obtain,
![{x}^{2} = {12}^{2} + {5}^{2}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%7B12%7D%5E%7B2%7D%20%20%2B%20%20%7B5%7D%5E%7B2%7D%20)
This implies that,
![{x}^{2} = 144 + 25](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20144%20%2B%2025)
![{x}^{2} = 169](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20169)
Take the positive square root of both sides to get,
![x = \sqrt{169}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%7B169%7D%20)
![x = 13](https://tex.z-dn.net/?f=x%20%3D%2013)
Answer:
Step-by-step explanation:
In order to do this, you have to know how to use your calculator's regression equation function.
First enter in the data. Hit "stat" then 1:Edit and enter all the x values into L1. After each value, hit enter. When you're done with the x list, arrow over to L2 and enter in all the y-values. If there are already values there you need to clear, arrow up to highlight L1, hit "clear", then "enter" and the values will disappear. Do that for both lists if you need to.
After the data is listed in L1 and L2, hit "stat" again and arrow over to "Calc". Hit 5:QuadReg. If you have a TI 83, your equation will be there for you. If you have a TI 84, you'll need to arrow down to "calculate" to get the equation. Regardless, the equation is
, the last choice in your options.
Answer:
x= 16
/20420505
Step-by-step explanation:
Let's solve your equation step-by-step.
5(215)x=16
Step 1: Simplify both sides of the equation.
20420505x=16
Step 2: Divide both sides by 20420505.
20420505x
/20420505 = 16
/20420505
x= 16
/20420505
Answer:
A function can have many x values for a given y value and still be a function but it cannot have many y values for a given x value. You can easily test this by graphing the equation and doing the vertical line test by seeing if a vertical line will intersect the graph only once at all x values, if it passes it is a function. In short what you have here is a function
Step-by-step explanation: