If a grey hound can run 60 mile an hour how many mile can it run in 2 hours?
2 answers:
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The graphs and their equations are:
- Line 1: 6x - 2y = -10
- Line 2: 9x - 9y = -45
- Line 3: 3x - 12y = -60
The three lines are linear equations, because they are all straight lines.
Also, the lines have the same y-intercept (this is so, because they cross the y-axis at the same point), but they have the same slope
Next, we rewrite the equations in slope-intercept form.
So, we have:
Divide through by -12
Make y the subject
Divide through by 2
Make y the subject
Divide through by -9
Make y the subject
Line 1 has the highest slope, while line 3 has the least slope.
So, we have the following equations:
- Line 1: 6x - 2y = -10
- Line 2: 9x - 9y = -45
- Line 3: 3x - 12y = -60
Read more about linear equations at:
Hey there :)
Here we need to use Trigonometry!
The given angle is 61°
The opposite to the angle is 22
So x is the adjacent
The trigonometric ratio that uses opposite and adjacent is tan
( I have uploaded a picture to help you )
tan α =
tan 61 =
adj =
adj ≈ 12.19 ≈ 12
x = 12
Here we need to use Trigonometry!
The given angle is 61°
The opposite to the angle is 22
So x is the adjacent
The trigonometric ratio that uses opposite and adjacent is tan
( I have uploaded a picture to help you )
tan α =
tan 61 =
adj =
adj ≈ 12.19 ≈ 12
x = 12