Answer:
The coefficient of 
is 
Step-by-step explanation:
The two expressions are
and 
.
The sum of the two expressions is
When we group like terms the expression will be,
When we simplify the expression will now be
The coefficient of is the constant behind in the expression.
The coefficient of is therefore .
Answer:
First, we need to determine the slope of the line going through the two points. The slope can be found by using the formula:
m
=
y
2
−
y
1
x
2
−
x
1
Where
m
is the slope and (
x
1
,
y
1
) and (
x
2
,
y
2
) are the two points on the line.
Substituting the values from the points in the problem gives:
m
=
5
−
7
3
−
0
=
−
2
3
Now, we can use the point-slope formula to find an equation going through the two points. The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
m
is the slope and
(
x
1
y
1
)
is a point the line passes through.
Substituting the slope we calculated and the values from the first point gives:
(
y
−
7
)
=
−
2
3
(
x
−
0
)
We can also substitute the slope we calculated and the values from the second point giving:
(
y
−
5
)
=
−
2
3
(
x
−
3
)
We can also solve the first equation for
y
to transform the equation to slope-intercept form. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where
m
is the slope and
b
is the y-intercept value.
y
−
7
=
−
2
3
x
y
−
7
+
7
=
−
2
3
x
+
7
y
−
0
=
−
2
3
x
+
7
y
=
−
2
3
x
+
7
Answer:
PQ = 37 Km
Step-by-step explanation:
let PQ = x , then
PR = x + 15 and QR = 3(x + 15) = 3x + 45
sum the parts and equate to 245
x + x + 15 + 3x + 45 = 245 , that is
5x + 60 = 245 ( subtract 60 from both sides )
5x = 185 ( divide both sides by 5 )
x = 37
then
PQ = x = 37 Km
