Which graph models the equation 2x + 3y = 6?
1 answer:
given 2x + 3y = 6
We can find the intercepts, that is where the graph crosses the x and y axes
• let x = 0, in the equation for y-intercept
• let y = 0, in the equation for x-intercept
x = 0 : 3y = 6 ⇒ y = 2 ⇒ (0, 2) ← y-intercept
y = 0 : 2x = 6 ⇒ x = 3 ⇒ (3, 0) ← x -intercept
Expressing the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
3y = - 2x + 6 ( divide all terms by 3 )
y = - x + 2
m is negative indicating the graph slopes down from left to right
The graph sloping down from left to right , crossing the x-axis at (3, 0) and the y-axis at (0, 2) is the graph which models the given equation.
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<h2>Answer:</h2>
13.391 ft
<h2>Explanations:</h2>The schematic diagram of the given question is shown below;
The height of the tree is expressed as:
H = h +5
Determine the value of h using the SOH CAH TOA identity
Determine the height of the tree
Hence the height of the tree is 13.391ft