Answer:
12
Step-by-step explanation: 18/3=6 6(2)= 12
Please: Use "^" to denote exponentiation: <span>2x^2 + 8x - 12 = 0
Reduce this by div. every term by 2: </span><span>x^2 + 4x - 6 = 0
Here a=1, b=4 and c = -6. Square half of b, obtaining (4/2)^2 = 4, and add, and then subtract, this 4 to x^2 + 4x - 6:
</span> x^2 + 4x +4 - 4 - 6 = 0. Rewrite the square as (x+2)^2, obtaining new equation
(x+2)^2 = 10. Take the sqrt of both sides: x+2 = plus or minus sqrt(10).
Finally, solve for x: x = -2 plus or minus sqrt(10).
This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2
Hope this helps!!
Answer:
Step-by-step explanation:
Given Annabella time for a race is 24.2 seconds, if another runnee's time was 6.43 seconds faster, then the time taken for another runnee's time will be 24.2 - 6.43 = 17.77secs.
Let a variable X be the difference between annabelle's time and the other runners time.
X = annabelle's time - other runners time.
X = 24.2 - (24.2 - 6.43)
X = 24.2-24.2+6.43
X = 6.43seconds
Hence the expression between annabelle's time and the other runners time is X = 24.2 - (24.2 - 6.43)
<em>The difference between annabelle's time and the other runners time is 6.43seconds</em>
Answer:
2/11
Step-by-step explanation:
6/33 simplified to lowest terms is 2/11.
