3 years ago

Will give brainliest answer

Mathematics

2 answers:

Anvisha [2.4K]3 years ago

8 0

Answer:

first one

Step-by-step explanation:

A parallelogram by definition has opposite sides parallel

In the first diagram the opposite sides are parallel, thus parallelogram

In the second only one pair of opposite sides are parallel, thus not a parallelogram. It is a trapezium

The third has no parallel sides, thus is not a parallelogram.

Vedmedyk [2.9K]3 years ago

7 0

Answer:

1. Parallelogram

2. Not Parallelogram

3. Not Parallelogram

Step-by-step explanation:

A Parallelogram is a flat shape with opposite sides parallel and equal in length.

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Express f(x) = |x-2| +|x+2| in the non-modulus form. Hence, sketch the graph of f.

alexgriva [62]

Recall that

$|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x$

There are three cases to consider:

(1) When $x+2$ , we have $|x+2|=-(x+2)$ and $|x-2|=-(x-2)$ , so

$|x-2|+|x+2|=-(x-2)-(x+2)=-2x-4$

(2) When $x+2\ge0$ and $x-2$ , we get $|x+2|=x+2$ and $|x-2|=-(x-2)$ , so

$|x-2|+|x+2|=-(x-2)+(x+2)=4$

(3) When $x-2\ge0$ , we have $|x+2|=x+2$ and $|x-2|=x-2$ , so

$|x-2|+|x+2|=(x-2)+(x+2)=2x$

So

$|x-2|+|x+2|=\begin{cases}-2x-4&\text{if }x$