Answer:
the answer is A
Step-by-step explanation:
10 meters per second converts to 36 kilometers per hour. Therefore to find how far the cyclist goes in 3 hours, you multiply that number by 3 to get 108 kilometers.
Best to factor 5 out of the first 2 terms:
5x^2-7x+2=0 => <span>5(x^2 - [7/5]x) +2=0
Take half of [-7/5]: That'd be -7/10.
Square 7/10, add it to </span>5(x^2 - [7/5]x) +2=0 and then subtract it:
5(x^2 - [7/5]x)+ 49/100 - 49/100 ) +2=0
Then we have 5(x- [7/10] )^2 - 49/100 ) + 200/100 = 0
5(x-7/5)^2 - 245/100 + 200/100 = 0
5(x-7/5)^2 - 45/100 = 0
Dividing all terms by 5, x-7/5 = plus or minus sqrt( 9/100 )
x-7/5 = plus or minus 3/10
Then one root is x = 7/5 + 3/10, or x= 17/10 (answer #1)
The other is x = 7/5 - 3/10, or x = 14/10 - 3/10, or x = 7/10 (answer #2)
<span>4/5 x 1/2 = 2/5
blank = 1/2</span>
Answer:

Step-by-step explanation:
You have what is called "perfect squares" so you can use the "difference of squares formula to factor:

So,

you can work the equation backward now and you will get your original equation.