Answer:
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Answer:
The lengths of all three sides (in feet) are = 15, 14, and 18 feet
Step-by-step explanation:
Perimeter of Triangle = 47ft
Let the one side be 'x'
<em>Side 1 = x</em>
One side of the triangle is one foot longer than the second side
<em>Side 2 = x - 1</em>
<em>The third side is four feet longer than the second side</em>
<em>Side 3 = (x - 1) + 4</em>
<em />
<em>Perimeter = sum of all sides</em>
<em>47 = x + (x - 1) + (x - 1) + 4</em>
<em>47 = x + x - 1 + x - 1 + 4</em>
<em>47 = 3x + 2</em>
<em>47 - 2 = 3x</em>
45 = 3x
<u>x = 15</u>
substitute for x in each of the sides
<em>Side 1 = x => </em><em>15 feet</em>
<em>Side 2 = x - 1 => 15 - 1 = </em><em>14 feet</em>
<em>Side 3 = (x - 1) + 4 => 14 + 4 = </em><em>18 feet</em>
Answer: ARE THEIR OPTIONS TO CHOSE FROM
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
y = (-2/5)x + 1
By inspection of the equation, the slope of the line is -2/5 and the y-intercept is 1.
Therefore, we can immediately discount option B and D, as their y-intercepts are NOT 1.
Find the point where the line crosses the x-axis by setting the equation to 0 and solving for x:
0 = (-2/5)x + 1
⇒ -1 = (-2/5)x
⇒ -5 = -2x
⇒ x = 5/2
Therefore, the line of the function intersects the x-axis at x = 5/2 = 2.5
From inspection of the graphs, the line in option A intersects the x-axis at 2.5. Therefore, this is the correct graph.