Answer:
Breadth = 8 cm
Length = 17 cm
Step-by-step explanation:
Given rectangle:
Breadth = x cm
Length = x + 9 cm
Area = length * breadth
= x * (x + 9)
= x² + 9x
Rectangle with length and breadth increased:
Breadth = x + 3 cm
Length = x + 9 + 3 = x + 12 cm
Area = 84 + (x² + 9x) cm²
(x +3) * (x +12) = 84 + x² + 9x
Use FOIL method
x*x + x*12 + 3*x + 3*12 = 84 + x² + 9x
x² + 12x + 3x + 36 = 84 + x² + 9x {add the like terms}
x² + 15x + 36 = 84 + x² + 9x
x² + 15x + 36 - 84 - x² - 9x = 0
6x - 48 = 0
6x = 48
x = 48/6
x = 8
Breadth = x = 8 cm
Length = x + 9 = 8 +9 = 17 cm
I’m not sure if your asking for the solution, but Hope this helps!
Answer:
d
Step-by-step explanation:
Answer:
(−∞, ∞) and (−∞, ∞)
Step-by-step explanation:
One example (of many) might be y = 2x. The domain and range of this function are (−∞, ∞) and (−∞, ∞).
Answer:
x<−8 or x>−4
Step-by-step explanation:
−x>8 or −x<4
We know either −x>8 or −x<4
−x>8(Possibility 1)
−x
−1
>
8
−1
(Divide both sides by -1)
x<−8
−x<4(Possibility 2)
−x
−1
<
4
−1
(Divide both sides by -1)
x>−4
