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antiseptic1488 [7]
3 years ago
7

Ava used the following equation in order to solve a math problem involving integers.

Mathematics
1 answer:
AnnZ [28]3 years ago
5 0

Answer:

The only equation which is incorrect is in option B.

Step-by-step explanation:

Eva used the following equation in order to solving integers, which is  

\frac{-h}{-k} = j

⇒ j = \frac{h}{k} ......... (1)

Now, if the equation Ava used is correct, then we have to find which of the given equations is not correct.

Now, in option A) it is given that - j = \frac{- h}{k}

⇒ j = \frac{h}{k} which is same as equation (1).

In option B) it is given that - j = \frac{- h}{- k}

⇒ j = - \frac{h}{k} which is not same as equation (1).

In option C) it is given that - j = \frac{h}{- k}

⇒ j = \frac{h}{k} which is same as equation (1).

Again, in option D) it is given that j = \frac{h}{k}

⇒ j = \frac{h}{k} which is same as equation (1).

Therefore, the only equation which is incorrect is in option B. (Answer)

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A rectangular pool is 20 feet wide and 50 feet long. A deck used for sunning surrounds the pool. The deck is the same width all
GalinKa [24]
Ahh, this question goes all the way back to my year 9 test a couple years ago; which I got wrong back then - I now know how

Firstly we find the expression for the area (using x as the walk way):
>50x * 2 (the left and right) 
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>4 * x^2 (the corners)

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Now we place the deck's area, <u>456</u> into the expression

456 = 140x + 4x^2

Solve for x
I'm a bit rusty on this i'm afraid, but I believe the only way to solve this is to factorise it
0 = 4x^2 + 140x - 456
0 = 4(x+38)(x-3)            <
<u>x must = -38 or = +3 (the numbers inside the brackets inverted)</u>
x must = +3 as it's logical, you can't have a negative width


The walkway is 3 feet wide, we can put this into our expression to double check this,
<em>456 = 140*(3) + 4(3)^2</em>
<em>456 = 420 + 4*9</em>
<em>456 = 420 + 36</em>
<em>456 = 456
</em>Yes, 3 feet wide is correct.


*Note, 
I tried to keep this simple, please let me know if I didn't go into enough detail anywhere
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