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expeople1 [14]
3 years ago
14

Rationalize the denominator and simplify. I will give brainliest (\sqrt(a+1)-2)/(\sqrt(a+1)+2)

Mathematics
1 answer:
Jet001 [13]3 years ago
8 0

Answer:

(\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

Step-by-step explanation:

To rationalize the denominator, you have to multiply the denominator and the numerator by (\sqrt(a+1)-2) (which doesn't change the value of the fraction)

You get: (\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

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3 years ago
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The bottom of Ignacio's desktop is 74.5cm from the floor. Ignacio's sits in his adjustable chair, and the tops of his legs are 4
dsp73

Answer:

Ignacio can make 5 clockwise rotations.

Step-by-step explanation:

Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:

4.8r + 49.3 < 74.5  where 'r' is equal to the number of rotations

The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch.  Now, solve for 'r':

Subtract 49.3 from both sides:  4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2

Divide 4.8 from both sides:  4.8r/4.8 < 25.2/4.8 or  r < 5.25

Since the number of rotations must be less than 5.25, he can make 5 complete rotations.  

6 0
3 years ago
How did I I get this wronggggggg
SIZIF [17.4K]

Answer:

mhmmm  well i don't know what you got wrong but it was prob cus u didnt sum wrong or wasn't paying attention to what you were doing. Hope this helpss have a safe and joyful holiday

Step-by-step explanation:

8 0
3 years ago
The graph of f (x) = x is shown. A transformation is applied to f (x) resulting in the function g (x) = x
maw [93]

Answer:

The graph of g(x) is below.

Step-by-step explanation:

If this answer is correct, please make me Brainliest!

4 0
3 years ago
5x + 4(4x + 11) = 170 pearson realize
Jobisdone [24]

x=6

if you multiply 4 by whats inside the parenthesis you get 5x+16x+44=170

next combine like terms and get 21x+44=170

next subtract 44 from itself and 170 to get 21×=126

finally divide 21 from both sides and you get x=6

hope this helps!

4 0
3 years ago
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