Answer:
m=3/4
Step-by-step explanation:
slope=
Therefore the slope is 3/4
Answer: The solution of given inequalities is all real number except [1.167, 3.5].
Explanation:
The given inequalities are
....(1)
.... (2)
Solve first inequality.




Solve second inequality.





The solution of first or second inequality is all real number less than 1.167 and all rea number more than 3.5. It means the combined solution of both inequalities is all real number except [1.167, 3.5].
Answer:
Angle L*; 67.5 degrees
Angle S*; 22.5 degrees
Step-by-step explanation:
Angle L is 3 times bigger than Angle S.
With this information, we can make an equation.
L=3S
Complementary angles add up to 90 degrees.
90 = 3S + S
90 = 4S
22.5
Angle S equals 22.5.
Because Angle L is 3 times bigger than Angle S, we multiply 22.5 by 3.
This gives us 67.5.
Angle L is 67.5 degrees
Angle S is 22.5 degrees
Now, in order to check our work, we add the two angles together.
67.5 + 22.5 = 90
Because they add up to 90 degrees, the complementary angles work with each other meaning that we are correct
*Angle L is the larger angle
**Angle S is the smaller angle
Answer:
Xavier will not be able to qualify because the speed required for him to qualify is greater than the speed at which he runs
Step-by-step explanation:
Here, we want to know if Xavier will be able to qualify or not
His constant speed is 5/3 m/s
Now to win , he needs a speed of 100 m/55 sec = 20/11 m/s
So now, we need to know the bigger fraction between the two
Mathematically, that will be
5/3 - 20/11 = (55-60)/11 = -5/11
As we can see, the required speed is greater than what he can run
So this means that he will not be able to qualify
Answer:

Step-by-step explanation:
If you mulitply 10*10, you get 100. As you continue to multiple more tens, you add a zero. Since you are multiplying 5 10s, it would be the 5th power of 10