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3 years ago

Leslie says that 5 multiplied by an even number always results in an even product. Is Leslie's statement correct?

Mathematics

2 answers:

djverab [1.8K]3 years ago

5 0

Yes; Leslie is correct. For example,
5•2 = 10
5•4= 20
5• 6= 30
And so on..

Rufina [12.5K]3 years ago

3 0

Yes, Leslie is correct. Two such examples are 5*100, which is 500 (even) and 5*18, which is 90 (also even).

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yulyashka [42]

Answer:

m = 10

Step-by-step explanation:

According to the picture attached, we can see the angles formed.

The angle on the top (5m+100) is sided with the angle 2m+10. This means that they are supplementary angles, their sum is 180°.

So,

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Solution:

$\sqrt{4x + 13} = x + 2$

First square both sides.

$= > ( \sqrt{4x + 13} ) ^{2} = (x + 2) ^{2}$

Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

$= > 4x + 13 = {(x)}^{2} + 2 \times x \times 2 + (2) ^{2} \\ = > 4x + 13 = {x}^{2} + 4x + 4$

Now, transpose 4x and 4 to LHS.

$= > 4x - 4x + 13 - 4 = {x}^{2} \\$

Now, do the addition and subtraction.

$= > {x}^{2} = 9 \\ = > x = \sqrt{9} \\ = > x = ±3$

Answer:

x = ± 3

Hope you could understand.

If you have any query, feel free to ask.

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Image result for State the domain and range in set notation

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