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Elan Coil [88]
3 years ago
7

How to rationalize the denominator of sqrt(a)/sqrt(a)-2

Mathematics
1 answer:
aivan3 [116]3 years ago
3 0

Answer:

√a(√a + 2)          a - 2√a

----------------- = -----------------

    a - 4                a - 4

Step-by-step explanation:

I am assuming that by "sqrt(a)/sqrt(a)-2" you meant:

√a

----------

√a - 2

To rationalize the denom., multiply numerator and denom. of this fraction by the conjugate of √a - 2, which is √a + 2:

√a(√a + 2)

-----------------

    a - 4

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Dan buys a car for £1700.
aleksley [76]

Answer:

£1443.89

Step-by-step explanation:

To start you take the £1700 and multiply it by 4% (or .04) to find how much it depreciates for the first year. For the first year the depreciation £68 so the next year it will be worth £1632 ( £1700 - 68). You do the same thing for the second year but you start with the amount its worth now (£1632) and multiply again by the 4%. The depreciation for the second year is 65.28. Now you take what it was worth at the start of the year (£1632) and subtract the depreciation for the second year (65.28) to get £1566.72. You do the same process again for the third year to end up with a value of £1504.05. Now for the 4th year you will take the value of £1504.05 and again multiply by the depreciation rate of 4% to find the last amount of depreciation which is £60.16. Take your starting value for year 4 (£1504.05) and subtract the amount of depreciation (£60.16) to get your answer of £1443.89.

4 0
3 years ago
The equation a=640s gives the relationship between s square miles and acres. Pam owns 7.5 square miles of farmland. How many acr
zhenek [66]
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<span>7.5 mi^2 (640 acres / 1 mi^2) </span>

<span>= 4,800 acres </span>
7 0
3 years ago
Read 2 more answers
Please help me solve this problem
Lera25 [3.4K]

Answer:

x ≤ 17

Step-by-step explanation:

This is the same as solving an equation, except instead of and equal sign it's an arrow.

We have to evaluate everything in the parenthesis first.

3x - 2 (x + 1) ≤ 15

3x - 2x - 2 ≤ 15

Next, we combine like terms - x's

3x - 2x - 2 ≤ 15

x - 2 ≤ 15

Combine like terms - constants (add 2 to both sides)

x - 2 ≤ 15

<u>x ≤ 17</u>

5 0
3 years ago
Max is building a model of the Washington Monument which is 555 feet tall if it's model must fit in his Mom's car, what scale mu
Serhud [2]

Answer:

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Step-by-step explanation:

have a great day

3 0
3 years ago
Does anybody know the answer?
maw [93]

Answer:

y=140°

Step-by-step explanation:

Method 1.

The exterior angle theorem tells us that y=20+120=140

Method 2.

Solve for x first., then use that to solve for y.

The sum of the interior angles of a triangle is 180, so we can get x by doing 180-20-120=40.

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4 0
3 years ago
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