Answer:

Step-by-step explanation:
You only need two points on a line to find the equation for that line.
We are going to use 2 points that cross that line or at least come close to. You don't have to use the green points... just any point on the line will work. You might have to approximate a little.
I see ~(67.5,67.5) and ~(64,65).
Now once you have your points, we need to find the slope.
You may use
where
are points on the line.
Or you can line up the points vertically and subtract then put 2nd difference over 1st difference.
Like this:
( 64 , 65 )
-( 67.5, 67.5 )
--------------------
-3.5 -2.5
So the slope is -2.5/-3.5=2.5/3.5=25/35=5/7.
Now use point-slope form to find the equation:
where
is the slope and
is a point on the line.

Distribute:

Simplify:

Add 65 on both sides:

Simplify:

Answer:
Step-by-step explanation:
A boat captain, lighthouse and its base form a right triangle.
<u>We need to find the angle opposite to 22 ft side:</u>
- tan x = 22/103
- x = arctan (22/103)
- x = 21°
<em>Note, option D should read 21° not 11°</em>
Answer:
15 seconds
Step-by-step explanation:
How did i get this answer? It is apparent that the girl is capable of running 6 2/3 metres per one second and she must run 100 metres.
First, let's convert 2/3 into a decimal so that it is easier to calculate later. 2/3=0.667 (you can also just do 2 divide by 3 and will end up with the same number)
Now our numbers are 6.667 and 100. Let's divide 100 by 6.667 which estimates to 15
Answer:
y - y1 = m(x - x1)
Step-by-step explanation:
The point slope form equation is [ y - y1 = m(x - x1) ]
(x1, y1) is any given point on the line.
m is the slope.
To solve this you would need these things:
- Slope (y2-y1/x2-x1)
- Y-intercept (y = mx + b)
Best of Luck!
Answer:
9
Step-by-step explanation:
Substitute 4 as k into the equation.
16 - 3(4) + 5
simplify
16 - 12 + 5
4 + 5
9
The answer is 9.