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valina [46]
2 years ago
15

Factorize ху + 3x +3y + 18

Mathematics
1 answer:
noname [10]2 years ago
3 0

Answer:

(x+6)(y+3)

Step-by-step explanation:

  1. xy + 3x + 6y + 18
  2. x(y + 3) + 6(y+3)
  3. <u>(</u><u>x</u><u>+</u><u>6</u><u>)</u><u>(</u><u>y</u><u>+</u><u>3</u><u>)</u>
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Simplify. Write the expression using only positive exponents.
viva [34]

Answer:

w^6/9

Step-by-step explanation:

w to the power of 6 divided by 6

8 0
3 years ago
Read 2 more answers
Please help on geometry
kondor19780726 [428]

Answer:

The Proof with Statement and Reasons is given below.

Step-by-step explanation:

Given:

∠DAF ≅ ∠EBF,

DF ≅  FE

Prove:

Δ ADF ≅ Δ BFE

Proof:

        Statements                                 Reasons

a. ∠DAF ≅ ∠EBF       ...........................Given

48. <u>∠DFA ≅ ∠EFB </u>  ..........................Vertical Angles are congruent

DF ≅  FE                  ...........................49. <u>Given</u>

50.<u> Δ ADF ≅ Δ BFE </u> .........................<u>By Angle-Angle-Side tes</u><u>t</u>

7 0
4 years ago
Write an expression that represents the sum of a number and 12
vodka [1.7K]
X+12=y
Hope this helps :)
5 0
3 years ago
Will give brainlest answer please help
Tju [1.3M]

Answer:

-1

Step-by-step explanation:

You can do this two ways, the easiest way is to look at the graph.

What is g(4) means: When the x value equals 4, what does y equal?

Look for the coordinate with the x-value of 4 (it's asking for g(4). Now if you look at the y-value of the coordinate, it should tell you what g(4) is. So since the coordinate is (4,-1), g(4) is -1.

Another way to do it is to plug in 4 for x in the equation. So...

g(4) = -[f(4) - 3)]

g(4) = -[4 - 3]

g(4) = -[1]

g(4) = -1

7 0
2 years ago
A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10
True [87]

Answer:

  • Recursive formula:

                                         a_1=5;a_n=5+a_{n-1},n>0

Explanation:

All the shown formulae in the choice list are recursive formulae instead of explicit formulae.

Explicit formulae that represent arithmetic sequences are of the form:

  • a_n=a_1+(d-1)n

That kind of formula permits to determine any term knowing the first term, the number of the term searched, and the common difference (d).

On the other hand, the recursive formulae let you to calculate one term knowing the previous term and the difference.

In this case, the difference in the number of squares of two consecutive terms is:

  • differece = number of squares in the second layer - number of squares in the first layer.

  • d = 10 - 5 = 5

Then, the recursive formula is:

  • a_1=5;a_n=5+a_{n-1},n>0

8 0
3 years ago
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