Answer:
The slope-intercept form of the line equation is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
Determining the slope between (-1, -2) and (3, 4)
Thus, the slope of the line is:
m = 3/2
substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation
y = mx+b
switch sides
subtract 9/2 from both sides
now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation
Therefore, the slope-intercept form of the line equation is:
Let's take a triangle ABC, with a, b, and c the sides length, he law of sine is:
a/sin A =b/sin B = c/sin C
If we know the value of 2 angles and one side or the value of 2 sides and one angle, we can calculate all the elements of the triangle
The answer for the above mentioned problem is JL = 12.5
Step by step explanation:
Given:
JM = 8
KM = 6
To Find:
JL = ?
Formula to be used:
= JM x ML
In order to find " JL" we must first find "ML",
= JM x ML
= 8 x ML
36 = 8 x ML
36/8 = ML
ML = 4.5
Now JL = 4.5+8
= 12.5
Thus the value of JL = 12.5
To check if a piecewise defined function is continuous, you need to check how the pieces "glue" together when you step from one domain to the other.
So, the question is: what happens at x=3? If you reach x=3 from values slightly smaller than 3, you obey the rule f(x)=log(3x). So, as you approach 3, you get values closer and closer to
Similarly, if you reach x=3 from values slightly greater than 3, you obey the rule f(x)=(4-x)log(9). So, as you approach 3, you get values closer and closer to
So, the function is continuous at x=3, because both pieces approach log(9) as x approaches 3.
