Let the numbers be x and y. Then xy = -30 and x+y = -3.
Solve xy = -30 for y: y = -30/x
subst. -30/x for y in x+y= -3: x - 30/x = -3
Multiply all 3 terms by x: x^2 - 30 = -3x, so x^2 + 3x - 10 = 0
Solve this quadratic equation for x. x: {-5, 2}
If x = -5, then x+y = -3 becomes -5 + y = -3, and y = 2.
You should check to determine whether x=2 is also correct. If it is, what is the corresponding y value?
Answer:
x+10
Step-by-step explanation:
Answer:
f your number is x, then the difference between that number and 8 would be x-8. Twice that is 2(x-8)
Three times the sum of the number and 3 would be 3(x+3). So, you get the equation:
2(x-8)=3(x+3)
2x-16=3x+9
x=-25
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Define length and width
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Let x be the width
width = x
Length = 2x + 4
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Formula
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Perimeter = 2(length + width)
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Find Length and width
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62 = 2(2x + 4 + x)
62 = 2(3x + 4) <em> ← combine like terms </em>
62 = 6x + 8 <em>← remove bracket </em>
62 - 8 = 6x <em>← minus 8 on both sides </em>
6x = 54 <em> ← swap sides </em>
x = 54 ÷ 6 <em>← divide by 6 on both sides</em>
<em>x = 9 m</em>
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Find Length and Width
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Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m
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Answer: Length = 22m
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Answer:
x5y2−x2y4
Step-by-step explanation:
There are no like terms. Therefore the answer is correct. =x^5y^2−x^2y^4
