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Rus_ich [418]
2 years ago
11

30 POINTS!!! Which choice is equivalent to the fraction below when x is greater than or equal to 3?

Mathematics
2 answers:
Bond [772]2 years ago
6 0

Answer:

the answer would be c

Step-by-step explanation:

like the hint says, rationalize the denominator by multiplying the numerator and denominator by the conjugate

(\sqrt{x} + \sqrt{x-3}), and then simplify after that...hope this helps :)

Mashcka [7]2 years ago
4 0

Answer: C.

\frac{9}{\sqrt{x} -\sqrt{x-3} }=\frac{9(\sqrt{x} +\sqrt{x-3} )}{x-(x-3)}=\frac{9(\sqrt{x} +\sqrt{x-3} )}{3}=3(\sqrt{x} +\sqrt{x-3})

Step-by-step explanation:

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IgorC [24]
I think the answer is B. idk if im right and im sorry if im wrong
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3 years ago
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Given: <br> PQ<br> ⊥<br> QR<br> , PR=20,<br> SR=11, QS=5<br> Find: The value of PS.
dlinn [17]

Answer:

The value of the side PS is 26 approx.

Step-by-step explanation:

In this question we have two right triangles. Triangle PQR and Triangle PQS.

Where S is some point on the line segment QR.

Given:

PR = 20

SR = 11

QS = 5

We know that QR = QS + SR

QR = 11 + 5

QR = 16

Now triangle PQR has one unknown side PQ which in its base.

Finding PQ:

Using Pythagoras theorem for the right angled triangle PQR.

PR² = PQ² + QR²

PQ = √(PR² - QR²)

PQ = √(20²+16²)

PQ = √656

PQ = 4√41

Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.

Finding PS:

Using Pythagoras theorem, we have:

PS² = PQ² + QS²

PS² = 656 + 25

PS² = 681

PS = 26.09

PS = 26

7 0
3 years ago
What is the ratio of people who prefer pistachio to the people who prefer vanilla?
Brrunno [24]

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Step-by-step explanation:

8 0
3 years ago
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The highest elevation of basket dome 40 years ago was measured at 7,600 feet. what is the rate of change in elevation for this a
svet-max [94.6K]

Answer:

Rate of change in elevation  = 0.6 in/year

Step-by-step explanation:

Note:

Current elevation (Missing) = 7,602 feet

Given:

Old elevation = 7,602 feet

Number of year = 7,600

Find:

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Computation:

Change in elevation = 7,602 - 7,600

Change in elevation = 2 ft

Change in elevation = 2 x 12 = 24 inches

Rate of change in elevation  = 24 / 40

Rate of change in elevation  = 0.6 in/year

5 0
3 years ago
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svlad2 [7]

Answersin -> 48

Step-by-step explanation:

solve for the length of the horizontal line by doing:

sin(55)=x/58

rearrange: x = sin(55) times 58 = 47.51

round UP to 48

5 0
3 years ago
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