Answer:
Step-by-step explanation:
1) Join the denominators.
2) Simplify.
3) Simplify.
Therefor, the answer is 5/6.
and in decimal from it will be, 0.8333333.
You can get 9 because in one foot there is 12 inches and there in 9 feet
Answer:
- 5(x +1.5)^2
- 10(x +1)^2
- 1/4(x +2)^2
- 3(x +5/6)^2
Step-by-step explanation:
When your desired form is expanded, it becomes ...
a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2
This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.
a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2
b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2
c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2
d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2
_____
<em>Additional comment</em>
If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.
The formula y = mx + b sometimes appears with
different symbols.
For example, instead of x, we could use the
letter C. Instead of y, we could use the letter F.
Then the equation becomes
F = mC + b.
All temperature scales are related by linear
equations. For example, the temperature in
degrees Fahrenheit is a linear function of degrees Celsius.
Water freezes at: 0°C, 32°F
Water Boils at: 100°C, 212°F
Hope this helps!
~ Kana ^^
Irrational due to the negative sign
