Express the statement "A rectangular field with an area of 120m' has it length 12mn longer than the width" as quadratic equation
1 answer:
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Answer:
Width = 2x²
Length = 7x² + 3
Step-by-step explanation:
∵ The area of a rectangle is
∵ Its width is the greatest common monomial factor of and 6x²
- Let us find the greatest common factor of 14 , 6 and , x²
∵ The factors of 14 are 1, 2, 7, 14
∵ The factors of 6 are 1, 2, 3, 6
∵ The common factors of 14 and 6 are 1, 2
∵ The greatest one is 2
∴ The greatest common factor of 14 and 6 is 2
- The greatest common factor of monomials is the variable with
the smallest power
∴ The greatest common factor of and x² is x²
∴ The greatest common monomial factor of and 6x² is 2x²
∴ The width of the rectangle is 2x²
To find the length divide the area by the width
∵ The area =
∵ The width = 2x²
∴ The length = ( ) ÷ (2x²)
∵ ÷ 2x² = 7x²
∵ 6x² ÷ 2x² = 3
∴ ( ) ÷ (2x²) = 7x² + 3
∴ The length of the rectangle is 7x² + 3
Answer:
Joshua can spend up to 3.21 on a card.
Step-by-step explanation:
is the correct equation because Joshua is spending 21.79 on flowers, a certain amount on the card, and the maximum he can spend is 25. That is why you use the less than or equal to sign.
To solve, first subtract 21.79 from both sides to get: . This means that Joshua can spend up to 3.21 on a card.
Hope it helps!