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2 years ago

Solving Inequalities (Will mark as brainliest)

Mathematics

1 answer:

svlad2 [7]2 years ago

5 0

Answer:

1. x ≤ -8

2. y < -8

3. y < -11

4. n > 10

5. n ≤ -2

6. n ≤ 15

7. n ≤ -5

Step-by-step explanation:

Your goal is to get just the variable on one side of the inequality!

For example, take -2y - 4 > 18.

Add 4 to both sides. So... -2y - 4 + (4) > 18 + (4)

Now you get -2y > 22. Since y isn't by itself, let's divide both sides by -2.

So, (-2y / -2) > (22 / -2)

Anytime you're dividing something by a negative, remember to FLIP THE SIGNS. So instead of a greater than, it will now be a less than sign <.

Now you get, y < -11

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Answer:

△ABC and △DEF are similar by SAS Similarity Theorem.

Option (C) is correct .

Step-by-step explanation:

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Factor: (m+2)^2−(m+2)+mn·(n+2)+2n(n+2)

bazaltina [42]

ANSWER
${(m + 2)}( {n}^{2} + 2n + m + 1)$

EXPLANATION

The given expression is

${(m + 2)}^{2} - (m + 2) + mn(n + 2) + 2n(n + 2)$

We factor to get,

$= {(m + 2)}(m + 2 - 1) +n (n + 2) (m+ 2)$

This implies that,

$= {(m + 2)}(m + 1) +n (n + 2) (m+ 2)$

We factor further to obtain,

$= {(m + 2)}((m + 1) +n (n + 2))$

or

$= {(m + 2)}( {n}^{2} + 2n + m + 1)$

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3 years ago