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Question 1060849: For the equation, complete the given ordered pairs.
5x+2y=10
(0,_), (_,0), (-2,_)
Three times the difference of a number and six is negative six. Find the number.
One side of triangle is half the longest side. The third side is 9 feet less than the longest side. The perimeter is 51. Find all three sides.
Please help me. om so confused :(
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! For the equation, complete the given ordered pairs.
5x+2y=10
(0,_), (_,0), (-2,_)
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The ordered pairs are (x,y)
For (0,_), x = 0
Sub 0 for x in the equation 5x+2y=10 and solve for y.
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5*0 + 2y = 10
2y = 10
y = 5
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--> the ordered pair (0,5)
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For (_,0), y = 0
Sub 0 for y in the equation 5x+2y=10 and solve for x.
5x + 2*0 = 10
5x = 10
x = 2
--> the ordered pair (2,0)
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Do the same for (-2,_) where x = -2
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Three times the difference of a number and six is negative six. Find the number.
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3*(the number - 6) = -6
Divide both sides by 3
the number - 6 = -2
Add 6 to each side.
the number = -2 + 6
the number = 4
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Using n for the number saves typing:
3*(n - 6) = -6
Divide both sides by 3
n - 6 = -2
Add 6 to each side.
n = -2 + 6
n = 4
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One side of triangle is half the longest side. The third side is 9 feet less than the longest side. The perimeter is 51. Find all three sides.
Use s for the longest side.
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"One side" = 1/2 of s = s/2
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The 3rd side is 9 less = s-9
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The sum of the 3 sides = 51
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s + s/2 + s-9 = 51
Add 9 to each side
s + s/2 + s = 60
2s + s/2 = 60
Multiply by 2 to eliminate fractions.
4s + s = 120
5s = 120
s = 24 feet (the longest side)
The "One side" = 1/2 of that, = 12 feet.
The 3rd side = s - 9 = 15 feet
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These are not hard, but you're letting anxiety make it hard for you.
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