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riadik2000 [5.3K]
3 years ago
6

Complete the following: (r-s)^2 = (___)^2 -(___)rs + s^2

Mathematics
1 answer:
kondaur [170]3 years ago
8 0

Answer:

First blank has the value r.

Second blank has the value 2

Step-by-step explanation:

The given equation on the left side is ( r- s)^{2}

Now,<u> ALGEBRAIC IDENTITY </u>states that

( a- b)^{2} = a^{2}  + b^{2} -  2 \times a \times b

Here, comparing a = r and b = s, we get

( r- s)^{2} = r^{2}  + s^{2} -  2 \times r \times s

So, the first blank has the value r.

Second blank has the value 2

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Answer:

the answer is 4.5. hope this helps

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2 years ago
A license plate consists of 2 letters followed by 3 digits. How many license plates are possible if the 1st digit cannot be 0, a
zloy xaker [14]

There are 608400 plates are possible.

If the first is A, we have 26 possibilities:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

If the first is B, we have 26 possibilities:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

And so on for every letter of the alphabet.

There are 26 choices for the first letter and 26 choices for the second letter. The number of different combinations of 2 letters is:

26×26=676

The same applies for the three digits.

There are 9 choices for the first as first digit cannot be 0

10 for the second,

10 for the third

9×10×10=900

So for a license plate which has 2 letters and 3 digits, there are:

676 × 900 = 608400 possibilities

To learn more about calculating possibilities from the given link

brainly.com/question/4658834

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2 years ago
Find the inverse function of h(x) = -2/3x + 6.
nalin [4]

Answer:

h^{-1}(x)=-\frac{3}{2}x+9

Step-by-step explanation:

To find inverse of a function, follow the steps below:

1. replace h(x) with y

2. Interchange x and y

3. Solve for the new y

4. Replace y to h^{-1}(x) (this is the inverse function)

<u>Step 1:</u> y = -2/3x+6

<u>Step 2:</u> x = -2/3y+6

<u>Step 3:</u>

x=-\frac{2}{3}y+6\\\frac{2}{3}y=-x+6\\y=\frac{-x}{\frac{2}{3}}+\frac{6}{\frac{2}{3}}\\y=-\frac{3}{2}x+9

<u>Step 4:</u>

y=-\frac{3}{2}x+9\\h^{-1}(x)=-\frac{3}{2}x+9

This is the inverse function.

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3 years ago
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alexandr402 [8]

Answer:

If you are talking about 1/2 scale factor, it is D. 32.

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What you are saying does not make sense for a scale factor of 1. If it were a scale factor of one, it would still be 64 lbs. which is not a option.

Can I get brainliest please?

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Answer:

1.125

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