cozyjaeyoon1

Let's expand this. First, we need to know the FOIL (First, Outside, Inside, Last) method. Because both 2x-9 and 7x+4 are binomials (Because they are a sum of two monomials), to expand this, we need to multiply the First ones of both binomials (in this case 2x and 7x), then the Outside (Which means the First one of the first and Second one of the second binomial, so in this case 2x and 4), Inside (Opposite of inside, -9 and 7x in this case)*

* Warning: Be careful for the minus signs! when there is a minus before the term/constant value, you have to also count that as well when doing it. So it's not multiplying 9 and 7x!

...and finally the Last (The last one of both binomials, -9 and 4 in this case). so...

So, if you simplify the like terms (the xs), you get (2x-9)(7x+4)=\(14x^2-55x-36.\)

Because the sum of the infinite geometric series is \(\frac{N}{1-r},\) 

and the first term (N) is 8/5*1/r=8/5r, \(10=\frac{\frac{8}{5r}}{1-r}\rightarrow 10-10r=\frac{8}{5r}\rightarrow 50r-50{r}^{2}=8\rightarrow -50{r}^{2}+50r-8=0.\) 

So a=-50, b=50, c=-8. And if the discriminant (b squared minus (4 times a times c)) is 0, then there is only one possible solution (including imaginary solutions). And because 50^2-(4*-50*-8) = 900 is not 0, there are two solutions. And using the quadratic formula \(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\) 

x=r is 0.2 or 0.8.

1st case: r=0.2, N=8/(5*0.2)=8.

2nd case: r=0.8, N=8/(5*0.8)=2.

Because the distance between home to 1st base and 1st to 2nd base is the same, and Angle(Home->1st base->2nd base) is a right angle, we must use the pythagorean theorem. The distance from home to second base is the hypotenuse in this case. And since tht distance is 85 meters in this problem, plug 85 in the Pythagorean theorem (opposite squared plus adjacent squared equals hypotenuse squared) for the hypotenuse. Now because the opposite and adjacent sides are the same, \({Opposite}^{2}+{Opposite}^{2}={85}^{2}=7225=2\times{Opposite}^{2}\)

Thus, \({Opposite}^{2}=\frac{7225}{2}\rightarrow Opposite=\sqrt{\frac{7225}{2}}\)

The answer the "Guest" gave you actually never ends. It's irrational, meaning that it can't be expressed as a fraction where the numerator and denominator are whole numbers.

Um... er... is it 2, or are you just kidding around?

since LCM(20,40)=40, let's express both fractions so that both fractions have a numerator of 40. 39/40=39/40, 7/20=14/40. 39/40-14/40=(39-14)/40=25/40. Divide both the numerator and denominator by 5 and get 5/8. This is 0.675 in decimal expansion.

1+1 equals 2

29/20 that "Guest" gave you is 1.45 in decimal

Since 6 7/8 equals ((6*8)+7)/8=55/8, 6 7/8 x 12= 55/8 x 12. you can divide the denominator on 55/8 by 4 to get 55/2, and divide 4 on the numerator 12 to get 3. (Notice that I divided the denominator on one number, and the numerator on the other, by the same number), to get 55/8 x 12=55/2 x 3=55/2 x 3/1. The product of the numerators are 55 x 3= 165, and the product of the denominators are 2 x 1=2. Therefore, 6 7/8 x 12=165/2, which is 82.5 in decimal.

And 1 is not a prime number.