Step-by-step explanation:
let's look at the full numbers under the square roots when bringing the external factors back in :
sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)
and let's present these numbers as the product of their basic prime factors
sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)
now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.
let's combine these
sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)
and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :
9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =
= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)
and that is the first answer option.
Answer:
$34.56
Step-by-step explanation:
She will save 8 dollars from the discount.
The tax will be $0.56.
The final price of the shirt will be $34.56
D is days
m is miles
0.16m + 64d (this is rate 1)
0.08m + 128d ( this is rate 2)
since you plan to rent for one day, input d as 1.
0.16m + 64(1)
0.08m + 128(1)
i hope i gave you enough hints
C The smaller the number in an inequality is always located to the left of the number on the horizontal line!!
The student is incorrect because if they were to reflect point A over the X-axis, this would mean they are moving it from its current quadrant to the one below. In that quadrant, the Y coordinate will be negative. So it couldn't possibly (6,3), because the 3 isn't negative.
