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RSB [31]
3 years ago
13

Use the distributive property to factor the expression. 12xy + 28xz

Mathematics
2 answers:
Bingel [31]3 years ago
8 0

Answer:

4x(3y + 7z) = 12xy + 28xz

Step-by-step explanation:

Factoring is the decomposition of an expression into a product of factors, which when multiplied together give the original expression.

soldier1979 [14.2K]3 years ago
6 0

Answer:

The factored equation would be 4x(3y + 7z)

Step-by-step explanation:

In order to find this, look for the greatest common factor and pull it out. Since both have factors of 4 and both have an x, we pull those out. We then divide each term by 4x to get what is left over.

You might be interested in
In circle D, angle ADC measures (7x + 2)°. Arc AC
Akimi4 [234]

Answer:

The measure of angle ABC is 36° ⇒ 1st answer

Step-by-step explanation:

Let us revise some important facts in the circle

The measure of the center angle is equal to the measure of its subtended arc

The measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arc

The vertex of a central angle is the center of the circle and its sides are radii in the circle

The vertex of an inscribed angle is a point on the circle, and its sides are chords in the circle

In circle D

∵ D is the center of the circle

∵ A and C lie on the circle

- DA and DC are radii

∴ ∠ADC is a central angle subtended by arc AC

∴ m∠ADC = m of arc AC

∵ m∠ADC = (7x + 2)°

∵ m of arc AC = (8x - 8)°

- Equate them to find x

∴ 8x - 8 = 7x + 2

- subtract 7x from both sides

∴ x - 8 = 2

- Add 8 to both sides

∴ x = 10

Substitute the value of x in the measure of ∠ADC

∵ m∠ADC = 7(10) + 2 = 70 + 2

∴ m∠ADC = 72°

∵ AB and BC are two chords in circle D

∴ ∠ABC is an inscribed angle subtended by arc AC

∵ ∠ADC is a central angle subtended by arc AC

- By using the 2nd fact above

∴ m∠ABC =  m∠ADC

∴ m∠ABC =  × 72

∴ m∠ABC = 36°

7 0
3 years ago
Abigail is 54 inches tall. Which of the following is Abigail's height?
4vir4ik [10]

Answer:

If you wanted it to be converted to ft, then her height would be: 4 ft , 5 inches

~hope this has helped you out, have a gr8 day!~

Step-by-step explanation:

3 0
2 years ago
Find -7a-6B (Picture provided)
sertanlavr [38]

Answer:

Option c

-7A-6B=\left(\begin{array}{ccc}40&-106&-32\\-46&43&25\\82&-62&-18\end{array}\right)

Step-by-step explanation:

First multiply matrix A by -7.

Then multiply the matrix B by -6.

When multiplying a matrix by a number x you must multiply each element of the matrix by x.

<em><u>Then we perform operation -7A </u></em>

-7\left(\begin{array}{ccc}-10&10&8\\-2&-1&5\\-4&8&-6\end{array}\right)=\left(\begin{array}{ccc}70&-70&-56\\14&7&-35\\28&-56&42\end{array}\right)

<u><em>Now we perform operation -6B </em></u>

-6\left(\begin{array}{ccc}5&6&-4\\10&-6&-10\\-9&1&10\end{array}\right)=\left(\begin{array}{ccc}-30&-36&24\\-60&36&60\\54&-6&-60\end{array}\right)

Now we add the resulting matrices

\left(\begin{array}{ccc}70&-70&-56\\14&7&-35\\28&-56&42\end{array}\right)+\left(\begin{array}{ccc}-30&-36&24\\-60&36&60\\54&-6&-60\end{array}\right)=\left(\begin{array}{ccc}40&-106&-32\\-46&43&25\\82&-62&-18\end{array}\right)

7 0
3 years ago
The product of a number and negative four is negative twenty-eight. What is the number?
Katyanochek1 [597]

Answer:

The number is 7. If you divide -28 by -4 you get 7, 7×-4=-28

6 0
3 years ago
Suppose a can of paint has a diameter of 14 cm and a height of 16 cm. what is the volume of paint in the can? (to nearest whole
RUDIKE [14]
We are given with two dimensions of a can of paint in which I assume is a  cylinder: 14 cm diameter and 16 cm height. In this case, the formula to be used is V = pi*d^2*h/4. substituting the given data above, V = pi*14^2*h/16 equal to 2462 cm^3. units must be consistent throughout to achieve the right answer.
4 0
3 years ago
Read 2 more answers
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