Answer:
у = x² + 7x - 30
Step-by-step explanation:
x₁ = 3 and x₂ = -10
Use the formula (x - x₁)(x - x₂) = 0
(x - 3)(x - (-10)) = 0
(x - 3)(x + 10) = 0
x² + 10x - 3x - 30 = 0
x² + 7x - 30 = 0
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The width of the rectangle is 9 cm.
The length of the rectangle is 34 cm.
<u>Step-by-step explanation</u>:
step 1 :
Let width of the rectangle be 'x'
The length of the rectangle = 7 + 3x
step 2 :
Perimeter of the rectangle = 2 (length + width)
⇒ 86 = 2 (7 + 3x + x)
⇒ 86 = 2 (7 + 4x)
⇒ 86 = 14 + 8x
⇒ 72 = 8x
x = 72/8
x = 9
∴ The width of the rectangle is 9 cm
step 3 :
The length of the rectangle = 7 + 3x
= 7 + 3(9)
= 7+27 = 34 cm
