Answer:
16cm
Step-by-step explanation:
Let the breadth = x
The length exceeds = x + 7
The breadth increased = x + 3
Because it said the length decreased by 4 so, the length would be:
x + 7 - 4 = x + 3
Original area:
We learn that:
area = length * breadth
x*(x+7) = (x+3)*(x+3)
x^2 + 7x = (x+3)^2
x^2 + 7x = x^2 + 6x + 9 (We also learn that (a+b)^2 = a^2 + 2ab + b^2
x^2 - x^2 + 7x - 6x = 9
x = 9 (so the breadth = 9)
The length = x + 7 = 9+7 = 16(cm)
Hope this help you :3
Combine like terms then you have your answers
Answer: Her refund would be $5,681.20.
The problem says that Laura paid the estimate above, which is 28%.
0.28 x 134350 = 37618
However, she had some deductions.
134350 - 4000 - 12200 - 4090 = 114060
So, to find the tax on this amount, we multiply it again by 0.28.
0.28 x 114060 = 31936.8
The amount of the refund will be the difference.
37618 - 31936.8 = 5681.2
Answer:
y = 2x - 13
Step-by-step explanation:
Equation of a line is y = mx + c, m is the gradient and c is the intercept
The line passes through points 4 and -5, x is 4 and y is -5
-5 = 4m + c
When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1
x + 2y = 5
2y = -x + 5
y = (-1/2 * x) + 5
therefore m = -1/2
m1 * m2 = -1
m * -1/2 = -1
-m = -2 , therefore m = 2
-5 = 4 * 2 + c
c = -5 - 8, which is -13
Therefore the equation for the line is
y = 2x - 13
Evaluate the function
g(x) = 2x2 + 3x – 5 for the input values -2, 0, and 3.
This is tedious math work but necessary to sharpen your skills.
Let x = -2
g(-2) = 2(-2)^2 + 3(-2) – 5
g(-2) = 2(4) - 6 - 5
g(-2) = 8 - 11
g(-2) = -3
Now let x = 0 and repeat the process.
g(0) = 2(0)^2 + 3(0) - 5
g(0) = 0 + 0 - 5
g(0) = -5
Lastly, let x = 3.
g(3) = 2(3)^2 + 3(3) - 5
g(3) = 2(9) + 9 - 5
g(3) = 18 + 9 - 5
g(3) = 27 - 5
g(3) = 22
Did you follow through each step?
