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:
45
Step-by-step explanation:
Substitute i = 1, 2, 3, 4, 5 into the expression and sum the terms
3(1) + 3(2) + 3(3) + 3(4) + 3(5)
= 3 + 6 + 9 + 12 + 15
= 45
Answer
I believe B.)8in3 is the right answer according to the square-cube law.
Step-by-step explanation:
Answer: Final price of the coffee table is $98.9.
Step-by-step explanation:
Original price of a coffee table = $115
Discount on a coffee table = 20%
So, After discount, it becomes,
Rate of sales tax = 7.5%
So, after tax the price becomes,
Hence, final price of the coffee table is $98.9.
Answer:
3 - 6 = -3(1 - 0)
Step-by-step explanation:
To write an equation of point-slope from two points, first you need the slope.
To find slope, find the change in y over the change in x.
- (0,6) y = 6 and x = 0
- (1,3) y = 3 and x = 1
The change in y over change is x means (y2 - y1) / (x2 - x1)
change in y: -3
change in x: 1
slope = -3/1 or -3
Now that we have slope we can start the point-slope equation.
Point-slope equation: y2 - y1 = m(x2 -x1)
[<em>m</em><em> </em>means slope]
Finally, the point slope equation for these points is: 3 - 6 = -3(1 - 0)
