<span>The expression of the square root of 19x must be simplified when x is equal to 28. This is because possible factors of 28 can be seen to be 4 and 7, and 4 is a perfect square. This means it can be pulled outside of the square root when evaluated. The other options include only prime factors that could not be pulled out. (3,5), (3,7), (1,41)
28 simplifies as such:
Sqrt(19*28) = Sqrt(19*4*7) = 2*Sqrt(19*7) = 2*Sqrt(133).</span>
Answer:
(x - 5)^2 + y^2 = 225/4,
or you could write it as (x - 5)^2 + y^2 = 56.25.
Step-by-step explanation:
The factor form is
(x - h)^2 + (y - k)^2 = r^2 where the center is (h, k) and r = the radius.
So we have:
(x - 5)^2 + (y - 0)^2 = r^2
As the point (-1, 9/2) is on the line:
(-1 - 5)^2 + (9/2)^2 = r^2
r^2 = 36 + 81/4
r^2 = 225/4.
So substituting for r^2:
(x - 5)^2 + (y - 0)^2 = 225/4
(x - 5)^2 + y^2 = 225/4 is the standard form.
*Answer:*
x = 5
*step-by-step solution*
Answer:
$2063.44
Step-by-step explanation:
1st week = $439.50
2nd and 3rd week = 62 hours and each hour = $22.79
Total amount earned in 2nd and 3rd week = 62 * 22.79 = $1412.98
4th week = 48% of what she earned in her first week = 48% of $439.50
4th week = (48 / 100) * 439.50 = $210.96
Total amount she earned = 1st week + 2nd & 3rd week + 4th week
Total amount = $439.50 + $1412.98 + $210.96
Total amount = $2063.44
She earned a total of $2063.44
Answer:
2, 12
Step-by-step explanation:
LCM = Least common multiple
LCM of 2 and 12 is 12
2 4 6 8 10 12
12
LCM of 6 and 8 is 24
6 12 18 24
8 16 24
LCM of 3 and 8 is 24
3 6 9 12 15 18 21 24
24
LCM of 12 and 24 is 24
12 24
24
