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2 years ago

Apply the distributive property to create an equivalent expression. 12(2a - 6b+ 8) = 2 1 (2a−6b+8)

Mathematics

1 answer:

liberstina [14]2 years ago

5 0

Answer:

a+4=11b

Step-by-step explanation:

Distributive property in mathematics means to multiply the sum by a number of two or more add-ons will provide the same result that each add-on multiplies by a single number and then together add the products.

for example a( b+c) = ab+ac

Therefore, applying distributive property in asked eapression

12(2a - 6b+ 8) = 21(2a−6b+8)

24a+72b+96 = 42a-126b+168

198b=18a+72

9a +36=99b

3a+12=33b

a+4=11b

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How to find matrics M

makkiz [27]

$\left[\begin{array}{ccc}9&7\\-4&2\end{array}\right] -4M=\left[\begin{array}{ccc}-3&3\\4&-18\end{array}\right]\qquad(*) \\\\M=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]\to4M=\left[\begin{array}{ccc}4a&4b\\4c&4d\end{array}\right]$

$(*)\qquad\left[\begin{array}{ccc}9&7\\-4&2\end{array}\right] -\left[\begin{array}{ccc}4a&4b\\4c&4d\end{array}\right]=\left[\begin{array}{ccc}-3&3\\4&-18\end{array}\right]\\\\\left[\begin{array}{ccc}9-4a&7-4b\\-4-4c&2-4d\end{array}\right]=\left[\begin{array}{ccc}-3&3\\4&-18\end{array}\right]\\.\qquad\qquad\qquad\qquad\ \ \ \Downarrow\\(_{11})\qquad9-4a=-3\ \ \ |-9\\-4a=-12\ \ \ \ |:(-4)\\a=3\\\\(_{12})\qquad7-4b=3\ \ \ \ |-7\\-4b=-4\ \ \ \ |:(-4)\\b=1$

$(_{21})\qquad-4-4c=4\ \ \ \ |+4\\-4c=8\ \ \ \ |:(-4)\\c=-2\\\\(_{22})\qquad2-4d=-18\ \ \ \ |-2\\-4d=-20\ \ \ \ \ |:(-4)\\d=5\\\\Answer:\ A.\ M=\left[\begin{array}{ccc}3&1\\-2&5\end{array}\right]$

3 0

3 years ago

(25 points!!!!!) solve for <2

stiv31 [10]

Step-by-step explanation:

135 = <2 + 86 [exterior angle of triangle is equal to the sum of its oppsite two interior angles]

or, <2 = 135 - 86

so, <2 = 49°

8 0

2 years ago

"The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N obj

Liula [17]

<u>Options</u>

Counting rule for permutations
Counting rule for multiple-step experiments
Counting rule for combinations
Counting rule for independent events

Answer:

(C)Counting rule for combinations

Step-by-step explanation:

When selecting n objects from a set of N objects, we can determine the number of experimental outcomes using permutation or combination.

When the order of selection is important, we use permutation.

However, whenever the order of selection is not important, we use combination.

Therefore, The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is not important is called the counting rule for combinations.

7 0

3 years ago

Any one help me with this plsss and ni links plss!!

Bas_tet [7]

Answer:

6. D.

7. F.

8. A.

9. B.

10. C.

Step-by-step explanation:

6. 9 + (12 - 10)

12 - 10 = 2

9 + 2 = 11

7. (20 - 15) x 2

20 - 15 = 5

5 x 2 = 10

8. 10 ÷ 5 + 7

10 ÷ 5 = 2

2 + 7 = 9

9. 6 + 2 x 3

2 x 3 = 6

6 + 6 = 12

10. (2 x 4) + 8

2 x 4 = 8

8 + 8 = 16

Let me know if this helps!

4 0

2 years ago

For a population with µ = 80 and σ = 20, the distribution of sample means based on n = 16 will have an expected value of _______

wlad13 [49]

Answer:

calculate the number of atom in 3 mol helium

7 0

8 months ago

Apply the distributive property to create an equivalent expression. 12(2a - 6b+ 8) = 2 1 ​ (2a−6b+8)

Apply the distributive property to create an equivalent expression. 12(2a - 6b+ 8) = 2 1 (2a−6b+8)