Answer: 46
Step-by-step explanation:
The angles add to form a straight angle, so x+99+35=180. It follows that x=46.
Answer:
2
Step-by-step explanation:
|x| means absolute value
|x| means if x is positive or negative, its still positive
-5|x|+4=14
-5|x|=10
|x|= -2
answer is 2
Given:
Consider the given function is:

To find:
The average rate of change of the function over the interval
.
Solution:
The average rate of change of the function f(x) over the interval [a,b] is:

We have,

At
,



At
,



Now, the average rate of change of the function f(x) over the interval
is:




Therefore, the average rate of change of the function f(x) over the interval
is -3.
Answer:
5.7 units
Step-by-step explanation:
The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).
Use distance formula to calculate distance between P and R:

Let,


Plug in the values into the formula.




(to nearest tenth)