All categories

4 years ago

Help please? Geometry work

Mathematics

1 answer:

Marrrta [24]4 years ago

7 0

I know it!!! just wait so i can finsih expaimning it
im smart

You might be interested in

Solve the equation and show all work. 4|x + 1/3| = 20 i'm kind of stuck hhh

34kurt

Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, $|x|=x$ if $x\ge0$ , and $|x|=-x$ if $x$ .

For example,

|2| = 2 because the input 2 is positive, so the input is unchanged;
|-3| = -(-3) = 3 because the input -3 is negative, so the sign is switched.

What this means for this problem is that there are two cases to consider:

If $x+\frac13\ge0$ , then $\left|x+\frac13\right|=x+\frac13$ , so that

$4\left(x+\dfrac13\right)=20\implies x+\dfrac13=5\implies\boxed{x=\dfrac{14}3}$

On the other hand, if $x+\frac13$ , then $\left|x+\frac13\right|=-\left(x+\frac13\right)$ , so

$-4\left(x+\dfrac13\right)=20\implies x+\dfrac13=-5\implies\boxed{x=-\dfrac{16}3}$

6 0

4 years ago

you have $85.30 in your bank account you write checks for $23.70 and $35.63 you deposit $325.33 Later you withdraw $130.00 what

Montano1993 [528]

Answer:

$221.30

Step-by-step explanation:

Each check or withdrawal reduces (subtracts from) the balance. Each deposit increases (adds to) the balance. The final balance is ...

$85.30 -23.70 -35.63 +325.33 -130.00 = $221.30

_____

A calculator is a useful tool for this. A spreadsheet or money management program can also do the trick.

4 0

3 years ago

Read 2 more answers

In one month, Mikhail’s Furnishings can make 160 carpets or 160 quilts, while Dominique’s Parlor can make 120 carpets or 200 qui

marysya [2.9K]

Answer:

Step-by-step explanation:

Mikhail’s Furnishings: 160 carpets or 160 quilts

Dominique’s Parlor: 120 carpets or 200 quilts

Current production per month

Mikhail’s: 80 carpets and 80 quilts

Dominique’s: 60 carpets and 100 quilts

Post-trade

Mikhail’s: produces 160 carpets

Dominique’s: produces 200 quilts

They trade 90 quilts for 70 carpets so at the end of trade they will have items as follows

Mikhail’s carpets will reduce from 160-70=90 carpets but have additional 70 quilts

Dominique’s quilts will reduce from 200-90=110 but have additional carpets of 70

Gains from trade

Comparing outcome of post-trade with current production

Mikhail’s Furnishings: 90 carpets-80 carpets=10 carpets

90 quilts-80 quilts=10 quilts

Dominique’s Parlor: 70 carpets -60 carpets=10 carpets

110 quilts-100 quilts=10 quilts

8 0

3 years ago

Find all solutions for a triangle with a = 12 b=10 c=6

MakcuM [25]

Answer:

Step-by-step explanation:

5 0

4 years ago

What is the value of the expression [36-9+(8x6)-21]divided by 3

shusha [124]

Answer:

12-3+(2.7x2)-7

Step-by-step explanation:

you would have to divide each number in the equation by 3 which would look like this:

36 / 3 = 12

-9 / 3 = -3

8 / 3 = 2.6666 repeating, which would be rounded up to 2.7

6 / 3 = 2

-21 / 3 = -7

i hope this helps :)

6 0

3 years ago

Read 2 more answers