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
Answer:
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Answer: -60
Step by step
5 (2 - 9) -25
Start by distributing which will give you
10 - 45 - 25
Combine your like terms giving you
-60
Answer:
(-2, 3)
Step-by-step explanation:
the point B is
B(x,y)
x
AB (A to B) is twice BC ( B to C )
AB is 2 - x. BC is x - (-4)= x + 4
So
2-x=2 (x + 4)
2-x=2x + 8
3x = -6
x = -2
y
(Same logic as above)
AB is -5 -y. BC is u - 7
-5 -y = 2(y - 7)
-5 - y = 2y - 14
3y = 9
y= 3
the point is (-2, 3)
