Answer:
11
Step-by-step explanation:
Use
y
2
−
y
2
x
2
−
x
1
4
−
9
2
−
3
=
−
5
−
1
=
5
Answer link
Jim G.
Jun 11, 2018
y
=
5
x
−
6
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
to calculate m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
2
,
4
)
and
(
x
2
,
y
2
)
=
(
3
,
9
)
m
=
9
−
4
3
−
2
=
5
1
=
5
y
=
5
x
+
b
←
is the partial equation
to find b substitute either of the 2 given points
into the partial equation
using
(
2
,
4
)
then
4
=
10
+
b
⇒
b
=
4
−
10
=
−
6
y
=
5
x
−
6
←
is the equation of lineAnswer:
Step-by-step explanation:
Use
y
2
−
y
2
x
2
−
x
1
4
−
9
2
−
3
=
−
5
−
1
=
5
Answer link
Jim G.
Jun 11, 2018
y
=
5
x
−
6
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
to calculate m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
2
,
4
)
and
(
x
2
,
y
2
)
=
(
3
,
9
)
m
=
9
−
4
3
−
2
=
5
1
=
5
y
=
5
x
+
b
←
is the partial equation
to find b substitute either of the 2 given points
into the partial equation
using
(
2
,
4
)
then
4
=
10
+
b
⇒
b
=
4
−
10
=
−
6
y
=
5
x
−
6
←
is the equation of line
ANSWER
65
EXPLANATION
This will form a sequence with first term:
with constant difference d=6 and last term
The last term is a term in the sequence, therefore;
Simplify the LHS
Divide both sides by 6.
Therefore
Hence there are 65 multiples of 6.
Answer:
20/41
Step-by-step explanation:
The total of all students is ...
7 + 2 + 5 + 6 + 3 + 4 + 6 + 8 = 41
The total of students not studying chemistry is ...
7 + 2 + 5 + 6 = 20
Then the probability that a randomly-chosen student does not study chemistry is ...
p(not studying chem) = 20/41