Answer:
The longest length which you are given.
Step-by-step explanation:
The hypotenuse is the longest side in a right angled triangle. The largest side in a right angled triangle is known as the hypotenuse.
Scatter plots are an awesome way to display two-variable data (that is, data with only two variables<span>) and make predictions based on the data.</span>
31 < -5x + 6
<u>-6 -6</u>
<u>25</u> < <u>-5x</u>
-5 -5
-5 < x
x > -5
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.
