Answer:
The graph below shows the graph of 3x - y = 1.
Hope this helps! :)
Answer:
B. x < -8 or x > 8
Step-by-step explanation:
You can use process of elimination to solve this problem by going through every solution and testing them out, but let's jump right to B.
Process:
You know that since the inequality states that x^2 has to be greater than 64, x has to be more than 8, or less than -8.
This is because 8^2 = 64, and -8^2 = 64, and the inequality requires the answer to be more than 64.
Looking at B., you can see that if x is < -8, the square of, for example, -9, would be 81. This is greater than 64, so this works!
Now, B. also has an alternative. The 'or' is a major clue to which is the correct answer, since the square root of any number can be positive or negative. (-8^2 = 8^2)
The 'or' states that x must be greater than 8. So, for example, if we take the square of 10, we get 100, and that is also greater than 64.
We've proven that this solution is accurate for both parts, so it is definitely the one we want!
Hope this helps!
Answer:
Given no. of persons owned laptop = 76
Total of no. of students owned + Total of no. of students dont have owned laptop given = 155
No. of students dont have laptops = 155 - 76 = 79
So then the total no. of no laptops = 79 + 17 = 96(ans)
Answer:
El ángulo formado entre las dos direcciones es aproximadamente 115º.
Step-by-step explanation:
Las direcciones dadas en el enunciado significan lo siguiente:
S32ºE - <em>32º al este del sur.</em>
E57ºN - <em>57º al norte del este.</em>
Vectorialmente hablando, cada dirección es la siguiente:
S32ºE
E57ºN
El ángulo formado entre los dos vectores unitarios (
), medido en grado sexagesimales, puede determinarse mediante la siguiente ecuación vectorial:
Donde:
- Norma de 
.
- Norma de 
.
Si sabemos que , , 
y 
, entonces el ángulo formado entre los dos vectores es:
El ángulo formado entre las dos direcciones es aproximadamente 115º.
2x+3x+5x=90
10x=90
x=9
2 times 9=18
3 times 9=27
5 times 9=45
$18, $27, and $45.
