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2 years ago

Rewrite this division expression as an equivalent multiplication expression. 9/4 divided by 7/5

Mathematics

1 answer:

Vesnalui [34]2 years ago

5 0

Step-by-step explanation:

9/4 divided by 7/5

= 9/4 multiplied by 5/7

= 9/4 * 5/7.

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3 years ago

Find the area of a square

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Step-by-step explanation:

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2 years ago

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If A is nonsingular, then (AT )-1 =(A-1) T . (a) Verify this theorem for 2 × 2 matrices

kipiarov [429]

Answer:

Verified

Step-by-step explanation:

Let the 2x2 matrix A be in the form of:

$\left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

Where det(A) = ad - bc # 0 so A is nonsingular:

Then the transposed version of A is

$A^T = \left[\begin{array}{cc}a&c\\b&d\end{array}\right]$

Then the inverted version of transposed A is

$(A^T)^{-1} = \frac{1}{ad - cb} \left[\begin{array}{cc}a&-c\\-b&d\end{array}\right]$

The inverted version of A is:

$A^{-1} = \frac{1}{ad - bc}\left[\begin{array}{cc}a&-b\\-c&d\end{array}\right]$

The transposed version of inverted A is:

$(A^{-1})^T = \frac{1}{ad - bc}\left[\begin{array}{cc}a&-c\\-b&d\end{array}\right]$

We can see that

$(A^T)^{-1} = (A^{-1})^T$

So this theorem is true for 2 x 2 matrices

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3 years ago

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2 years ago

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Solve for x.<br><br> x=<br><br> Look at image

postnew [5]

Answer:

$x = 14$

Step-by-step explanation:

To find x, the following equation is generated given the available information:

$\frac{(x + 7) + x)}{x + 7} = \frac{12 + 8}{12}$

$\frac{2x + 7}{x + 7} = \frac{20}{12}$

$\frac{2x + 7}{x + 7} = \frac{5}{3}$

Cross multiply

$3(2x + 7) = 5(x + 7)$

$6x + 21 = 5x + 35$

Collect like terms

$6x - 5x = - 21 + 35$

$x = - 21 + 35$

$x = 14$

8 0

3 years ago

Rewrite this division expression as an equivalent multiplication expression. 9/4 divided by 7/5 ​

Rewrite this division expression as an equivalent multiplication expression. 9/4 divided by 7/5