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1 year ago

What is the distributive property of32 +44 =

Mathematics

1 answer:

Arisa [49]1 year ago

6 0

Distributive property is expresses as : a(b+c)=ab + ac

From the given data we have

32 + 44

Take the common factor from 32 & 44

Since 2 is the common factor for 32 &44

thus,

$undefined$

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| 15x + 5y = 20 1 - 3x = y + 6

Zina [86]

Answer:

There isn’t a solution to this when using substitution or elimination.

Step-by-step explanation:

4 0

3 years ago

Let A be a 3 by 6 , B be a 6 by 7 and C be a 7 by 3 matrix. Determine the size of the following matrices (if they do not exist,

kozerog [31]

Answer:

a. AB: 3 by 7

b. BA: N by N

c. A^TB: N by N

d. BC: 6 by 3

Step-by-step explanation:

Given

$A =3\ by\ 6$

$B =6\ by\ 7$

$C =7\ by\ 3$

Required

The dimension of the following matrices

As a general rule:

For A * B to be successful, the columns in a must equal the rows in B

Using this rule, we have:

$A_{m*n} * B_{n * p} = AB_{m*p}$

So:

$(a)\ AB$

$A_{3*6} * B_{6*7} \to AB_{3 * 7}$

$(b)\ BA$

$B_{6*7} * A_{3*6} \to AB_{N * N}$

The column numbers of B does not equal the row numbers of A.

Hence, BA does not exist

$(c)\ A^TB$

$A^T$ implies that:

If $A =3\ by\ 6$ , then

$A^T = 6\ by\ 3$

So:

$A^T_{6*3} * B_{6,7} \to A^TB_{N*N}$

The column numbers of A^T does not equal the row numbers of B.

Hence, $A^TB$ does not exist

$(d)\ BC$

$B_{6*7} * C_{7*3} \to BC_{6,3}$

6 0

3 years ago

There is a a circle whose circumference is 34.54 cm.

Naily [24]

Answer:

$\huge\boxed{Diameter=11cm}$

Step-by-step explanation:

Important information:

Circumference of a circle= $\pi*diameter$

Method:

To work out the diameter, we would need to divide the circumference of 34.54 by pi, which in this case is 3.14, this gives us 11cm. This is because we are simply rearanging the formula of the circumference of a circle to make the diameter the subject.

Step By Step:

1) Rearange the formula to make the diameter the subject.

$diameter=\frac{circumference}{\pi}$