Answer:
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Step-by-step explanation:
Answer:
Length = 34
Step-by-step explanation:
Perimeter of rectangle = a+a+b+b = 2(a+b)
Let a = length = 2b - 4
Let b = width
Therefore
(2b-4) + (2b-4) + b + b = 106 cm
Bracket off
2b-4+2b-4+b+b = 106cm
Collect like terms
2b+2b+b+b-4-4 = 106cm
6b-8 = 106
6b = 106+8
6b = 114
b = 114÷6
b = 19
To get a
2b - 4
2(19) - 4
38-4
= 34
Answer:
218,205,858,257,659,822,002
Step-by-step explanation:
Answer:
f(12) = 11
Step-by-step explanation:
To solve this question:
- Substitute x = 12 into the equation: f(12) = 3/4 (12) + 2
- Simplify: 3/4 × 12 = 36/4 which is 9 → f(12) = 9 + 2
Hope this helps!
I'm assuming the function is f(x) = (2x+8)/(x^2+5x+6). If so, make sure to use parenthesis to indicate that you're dividing all of "2x+8" over all of "x^2+5x+6" as one big fraction. Otherwise, things are ambiguous and it leads to confusion.
Side Note: x^2 means "x squared"
Factor the numerator: 2x+8 = 2(x+4)
Factor the denominator: x^2+5x+6 = (x+2)(x+3)
There are no common factors between the numerator and denominator. So there is nothing to cancel out.
Recall that you cannot divide by zero. Something like 1/0 is undefined.
We need to find the x values that cause the denominator to be zero.
Set the denominator equal to zero and solve for x
x^2+5x+6 = 0
(x+2)(x+3) = 0
x+2 = 0 or x+3 = 0
x = -2 or x = -3
The x values x = -2 or x = -3 will lead to the denominator being zero. This means that the vertical asymptotes are x = -2 or x = -3 as shown by the blue dashed vertical lines in the attached image.