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MArishka [77]
3 years ago
13

Rationalize the expression. Write it in simplest form. 9x/√-2x-11

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0
This appears to be just an expression we are simplifying, not an equation we are solving.  I THINK you are saying that the expression looks like this:
\frac{9x}{ \sqrt{-2x-11} }
If you rationalize the denominator, you would get this expression:
\frac{9x}{ \sqrt{-2x-11} } * \frac{ \sqrt{-2x-11} }{ \sqrt{-2x-11} }
which, after simplifying, looks like this:
\frac{9x \sqrt{-2x-11} }{-2x-11}
and that's as simple as I can see that one getting.  You can't factor anything out of the denominator to cancel with the numerator, so I think you're as simple as you can get there!
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sdas [7]
C because solutions is plural
5 0
4 years ago
Lance Armstrong wants to travel from Orlando to Tampa (117 miles) on his bike in 180 minutes or less. What speed must he travel
Lady bird [3.3K]

117miles/180minutes ~~ 117miles/3hours ~~ miles/hour(mph)

117miles ÷ 3hours = 39miles/hour or 39 miles per hour.

(<em>Speed=x</em>) Speed needed is:  x ≥ 39mph.


<em>Hoped this helped!</em>

3 0
3 years ago
if you were to solve the following system by substitution what would be the best variable to solve and from what equation? 2x+8y
Nina [5.8K]
All the numbers in the first equation have a common factor of 2. Removing that gives
.. x +4y = 6
making it easy to solve for x
.. x = 6 -4y

My choice would be to solve for x using the first equation.

_____
On second thought, it might actually be easier to solve either equation for 8y. That term then directly substitutes into the other equation (equivalent to adding the two equations).
.. 8y = 3x -11 . . . . . from the second equation
.. 2x +(3x -11) = 12 . . . substituting into the first equation
.. 5x = 23 . . . . . . . . . . collect terms, add 11 (what you would get by adding the equations in the first place)
.. x = 4.6
.. y = (3*4.6 -11)/8 = 0.35

4 0
4 years ago
While on a beach vacation, Tasha makes a scale drawing of points of interest between two
alexdok [17]

Answer:

The distance between the two piers is <u>3 miles.</u>

Step-by-step explanation:

If in Tasha's drawing 2cm represents 0.5 miles between the two piers, and the distance between the two piers in Tasha's drawing is 12cm.

The answer is found by <u>the rule of three: </u>

2 cm : 0.5 miles

12 cm : X

X = (12 * 0.5) / 2

X = 3 miles.

The distance between the two piers is actually 3 miles.

5 0
3 years ago
(3x - 7) + (-2x -8) *
Orlov [11]

Answer:

here look at the picture

Step-by-step explanation:

5 0
3 years ago
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