Use the geometric mean for right triangles here. Like this

. Cross multiply to get

, and

. That simplifies down to

. Pull out the 9 as a perfect square of 3 and you're left with

, first choice above.
If this helps you consider making it brainliest as it helps me out.
2(x+4y) is the equivalent expression.
Let’s say x = 1 and y = 2
Then 2x + 8y would be 18
Same thing for 2(x+4y)
Hope this helps!
Couldn’t quite read everything, the writing is very light. But from what I could read, it was correct for the most part. :)
Answer:
The given point is a solution to the given system of inequalities.
Step-by-step explanation:
Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of
are
and
, respectively.
Plugging these values into the first inequality,
, gives us
, which simplifies to
. This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.
Plugging the coordinates into the second inequality,
, gives us
, which simplifies to
. This is also a true statement, so the given point satisfies the second inequality as well. Therefore,
is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!
Answer:
7.2 + 0.8w
Step-by-step explanation:
combine like terms. Like terms have same variable with same power.
2.2w and (-1.4w) are like terms & 4.8 and 2.4 are like terms.
4.8 + 2.2w - 1.4w + 2.4 = 4.8 + 2.4 + 2.2w - 1.4w
= 7.2 + 0.8w