Answer:
Point-slope equation of this line:
.
Step-by-step explanation:
The equation for a line in a cartesian plane can take multiple forms. This question gives
- a point on the line, and
- the slope of the line.
The point-slope form will the most appropriate.
What is the point-slope form equation of a line 
?
In general,
,
where
is the x-coordinate of the given point on the line, 
is the y-coordinate of the given point on the line, and
is the slope or gradient of the line.
In other words, 
the point on the line.
For this line,
- The point is
, where 
and 
. - Gradient of the line
.
Thus the equation for this line:
.
Answer:
θ ≈ 17.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan θ = 
= 
= 
, then
θ = 
( ) ≈ 17.1° ( to the nearest tenth )
Answer: y should be in the interval (0.4, 4)
Explanation:
The binomial 5y - 7 is in the interval (-5, 13) if and only if
-5 < 5y - 7 < 13
Solving the inequalities in this form is the same as solving equation. So, we add all sides of the inequalities by 7 so that
2 < 5y < 20
Then, we divide both sides by 5 to get the following inequalities
0.4 < y < 4
Hence y should be in the open interval (0.4, 4).
Answer: 331,250
Step-by-step explanation: hope it helps
Answer:
3.571 g
Step-by-step explanation:
357,100 / 100,000 = 3.571
