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antiseptic1488 [7]
4 years ago
7

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

Mathematics
1 answer:
AnnZ [28]4 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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Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)
xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

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Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right  )

Here x_1=m, y_1=n, x_2=h, y_2=0

              $=\left( \frac{m+h}{2}, \frac{n+0}{2}\right  )

$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right  )

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here x_1=0, y_1=0, x_2=x,  y_2=y

$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{x}{2}, \frac{y}{2}\right  )

Now equate the x-coordinate.

$ \frac{m+h}{2}=\frac{x}{2}

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$\frac{n}{2} =  \frac{y}{2}

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0
3 years ago
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