3 years ago

Use complete sentences to explain why |x|+2>|x|

1 answer:

4 0

The absolute value of an given number is always positive. So, when adding two to any positive number will always be greater than the number by itself.

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Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ <em>cross multiply</em>

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

3 0

3 years ago

If x = 9 and y = -2 what’s 10 + 5xy

Ksenya-84 [330]

Answer:

10 + 5xy = -80

Step-by-step explanation:

10 + 5xy = ?

x = 9 and y = -2

10 + 5xy = 10 + 5(9)(-2)

= 10 - 90

= -80

5 0

3 years ago

PLEASE HELP IM BEING TIMED

Zigmanuir [339]

Step-by-step explanation:

You have miscopied the second equation as it contains a third variable B when there isn't a B in the answers.

Please correct it for assistance

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3 years ago

Multiply.<br><br> At 6 ½¢ per pound of string beans, how much does 8 pounds cost?

zzz [600]

52 I think , because 6 1/2 x 8 is 52

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2 years ago

Please help... what is the domain of this graph?

k0ka [10]

Answer:-8,4 is ur answer

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3 years ago