the davis family pays 200,oo for anew house. they make a down payment that is 1/10 of the price of the house

1 answer:

7 0

200 / 1/10 = 20

10 is a whole, equaling 100%

1 out of 10 equals to 10%

1/10 of 200.00 is $20.

The down payment on the house is $20.

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A group of point that lie on the same plane are called

melamori03 [73]

Hey There!

Answer Coplanar Points

The term to describe a group of points that lie on the same plane are called.

Coplanar Points

If the points were to lie on the same line, the term to describe this would be called.

Collinear point

Hope this helped!

5 0

2 years ago

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

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