Find the distance between the points (-1,-9) and (1,-4)
1 answer:
The distance between the two points is 5.4
Explanation:
The points are (-1,-9) and (1,-4)
The distance between the two points can be determined using the formula
Substituting the values in the formula, we get,
Adding the values,
Squaring the terms, we get,
Simplifying, we have,
Thus, the distance between the two points is 5.4
You might be interested in
Answer: Choise A and Choise B.
Step-by-step explanation:
Given the following expression:
You can simplify it in order to find equivalent expressions.
Appying the Distributive Property, you get:
So:
1. If you add the like terms, you get this equivalent expression:
2. But if you factor out 3, you get the following equivalent expression:
Therefore, the expression shown in Choice A and Choise B are equivalents to the expression
Answer:
The slope of the line representing the linear function f(x) is determined as . The function f(x) is decreasing because the slope is less than zero, i.e., m<0.
Step-by-step explanation:
A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).
It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.
Step 1 of 1
Determine the slope of the line.
The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as
So, substitute for
and
respectively, and
for
and
respectively in the above formula. Then simplify to get the slope as follows,
The slope of the line is obtained as . Now, as
, so the function f(x) is decreasing.