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Airida [17]
3 years ago
14

Factorise fully 6x^2+9xy

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
4 0
3x(2x+3y)
1. find a common multiple of either sides of the + sign...
3x
2. put it outside the brackets...
3x(    )
3. find what you have to multiply the rest equation by to get the number...
2x x 3x = 6x squared
3y x 3x = 9xy
4. put it in the brackets...
3x(2x+3y)
Hope this helps :)
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Square has side lengths of 13 units. Point lies in the interior of the square such that units and units. What is the distance fr
romanna [79]

The distance from E to side AD is 25/13.

<h3>What is a distance?</h3>
  • The length of the line connecting two places is the distance between them.
  • If the two points are on the same horizontal or vertical line, the distance can be calculated by subtracting the non-identical values.

To find what is the distance from E to side AD:

  • If you draw a diagram, you'll see that triangle AEB is a right triangle with lengths 5, 12, and 13.
  • Let's call F the point where E meets side AD, so the problem is to find the length of EF.
  • By Angle-Angle Similarity, triangle AFE is similar to triangle BEA. (the right angles are congruent, and both angle FAE and ABE are complementary to angle BAE)
  • Since they're similar, the ratios of their side lengths are the same.
  • EF/EA = EA/AB (they're corresponding side lengths of similar triangles).

Substitute them with known lengths:

  • EF/5 = 5/13
  • EF = 5 × (5/13) = 25/13

Therefore, the distance from E to side AD is 25/13.

Know more about distance here:

brainly.com/question/2854969

#SPJ4

The correct answer is given below:
Square ABCD has side lengths of 13 units. Point E lies in the interior of the square such that AE=5 units and BE=12 units. What is the distance from E to side AD? Express your answer as a mixed number.

8 0
1 year ago
Why shouldn't you use double negatives? It's a riddle for my Math Class
IRINA_888 [86]

A negative times a negative is a positive. I am not sure if that's the question, but hopefully that helps if it was.

3 0
3 years ago
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Which rays are part of line BE?<br><br> AC and AE<br> AB and AE<br> AC and AB<br> AB and
rosijanka [135]

We are given a diagram with different rays and lines.

Note: A line can be extend more and more upto infinitely length from both of the ends but a ray can be extend from from end only.

We need to find the rays for the line BE.

We can see BE line has a point A in between line.

So, we can name the rays formed with end point A as AB and AE.

<h3>Therefore,  AB and AE rays are part of line BE.</h3><h3>So, the correct option is 2nd option :</h3><h3>AB and AE.</h3>
4 0
3 years ago
Read 2 more answers
Which radical expression is an irrational number? A. √ 121 B. √ 65 C. √ 36 D. √ 64
alina1380 [7]

We will verify each options

option-A:

\sqrt{121}

we can factor it

\sqrt{121}=\sqrt{11*11}

\sqrt{121}=\sqrt{11^2}

\sqrt{121}=11

so, this is not irrational.........Answer

option-B:

\sqrt{65}

Since, it can not be factored

so, this is irrational.........................Answer

option-C:

\sqrt{36}

we can factor it

\sqrt{36}=\sqrt{6*6}

\sqrt{36}=\sqrt{6^2}

\sqrt{36}=6

so, this is not irrational.........Answer

option-D:

\sqrt{64}

we can factor it

\sqrt{64}=\sqrt{8*8}

\sqrt{64}=\sqrt{8^2}

\sqrt{64}=8

so, this is not irrational.........Answer


6 0
4 years ago
Read 2 more answers
-2b + 9 = 25<br> ones step and two step equation Screenshot of example
ycow [4]

Answer:

b = -8

Step-by-step explanation:

-2b + 9 =25

-9 = -9

-2b = 16

/-2 /-2

b = -8

3 0
2 years ago
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