Answer:
Step-by-step explanation:
The linear equation in standard form is written in the form :
ax + by = c
Therefore : 12x = -9y + 7 in standard form will be :
12x + 9y = 7
Answer:
Step-by-step explanation:
The equation of a line in
point-slope form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
−
y
1
=
m
(
x
−
x
1
)
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−−
where m represents the slope and
(
x
1
,
y
1
)
a point on the line
here
m
=
−
2
and
(
x
1
,
y
1
)
=
(
3
,
0
)
⇒
y
−
0
=
−
2
(
x
−
3
)
⇒
y
=
−
2
(
x
−
3
)
←
in point-slope form
Answer:
21% probability you will hit a green light on monday and a red light on tuesday
Step-by-step explanation:
When two events, A and B, are independent, we have that:

In this problem, we have that:
Event A: Green light on monday.
Event B: Red light on tuesday.
The probability that we encounter a green light at the corner of college and main is 0.35
This means that 
The probability that we encounter a red light is 0.61:
This means that 
These events are independent, that is, the light color on Tuesday is independent of the color on Monday. So

21% probability you will hit a green light on monday and a red light on tuesday
Answer:
x = 
Step-by-step explanation:
Given
+
= 1
Multiply through by ab to clear the fractions
bx + ax = ab ← factor out x from each term on the left side
x(b + a) = ab ← divide both sides by (b + a)
x = 