The measure of the segment DF is 2 2/3
<h3>Segment Addition postulate</h3>
The segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
A line is a distance between two points. From the given line;
DF = F - D
Given the following
F = -1 1/3
D = -4
Substitute
DF = -1 1/3 - (-4)
DF = 4 - 4/3
DF = 8/3
DF =2 2/3
Hence the measure of the segment DF is 2 2/3
Learn more on Segment Addition postulate here: brainly.com/question/2134445
#SPJ1
Again,im not quite sure that i understand what youre asking,will you please specify so that i may answer
Answer:
y = x - 14
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = 1, thus
y = x + c ← is the partial equation of the line
To find c substitute (14, 0) into the partial equation
0 = 14 + c ⇒ c = 0 - 14 = - 14
y = x - 14 ← equation in slope- intercept form
To find the intercept of a variable in a equation with more than one variable, you need to equal the others variables to zero.
-> 4x -6y -5z = 60
-> X-Intercept:
To find the X intercept, equal the Y and Z values to 0.
(Y = 0; Z = 0)
4x -6(0) -5(0) = 60
4x = 60
x = 60/4
x = 15
-> Y-Intercept:
To the Y intercept it's the same thing, equal the another variable values to 0.
(X = 0; Z = 0)
4(0) -6y -5(0) = 60
-6y = 60
-y = 60/6
-y = 10 x(-1)
y = -10
-> Z-Intercept:
(X = 0; Y = 0)
4(0) -6(0) -5z = 60
-5z =60
-z = 60/5
-z = 12 x(-1)
z = -12
Answer: The intercepts for this equation (15,-10,-12).
Or: x = 15, y = -10, z = -12.
