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3 years ago

How do I solve this problem

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

6 0

10√3 (-7 - √5)

10√3 × -7 + 10√3 × -√5

-70√3 + 10√3 × -√5

-70√3 - 10√3√5

-70√3 -10√3 × 5

-70√3 - 10√15

hope that helps, God bless!

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Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?

lorasvet [3.4K]

Answer:

Option D

Step-by-step explanation:

Given: set of inequalities

To find: Points which do not satisfy all the inequalities

Solution:

For point $(15,0)$ :

$15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0$

So, (15, 0) satisfies all the inequalities

For point $(7.5,7.5)$ :

$7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0$

So, (7.5, 7.5) satisfies all the inequalities

For point (22.5,2.5):

$22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\$

So, (22.5,2.5) satisfies all the inequalities

For point (7.5 ,0):

Put s = 7.5 and t = 0 in $s\geq 15-t$

$7.5\geq 15-0=15$ which is false

So, $(s,t)\neq (7.5,0)$

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2 years ago

Which expression is equivalent to 4+2(1+3x)

Leviafan [203]

Answer:

I'm glad you asked!

Step-by-step explanation:

OK,let's simplify the number for a equivalent expression.

$4+2(1+3x)$

Distribute:

$=4+(2)(1)+(2)(3x)$

$= 4+2+6x$

Combine Like Terms:

$=4+2+6x$

$=(6x)+(4+2)$

$=6x+6$

The Final Answer is : $6x+6$

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2 years ago

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777dan777 [17]

Answer:

(-7,-4)

Step-by-step explanation:

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2 years ago

Please use statemnet reasoning!

dlinn [17]

Answer:

lineHO parallel lineEN - Given

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angle HWO <u>congruent</u> angle EWN Vertical Angles

angle OHW <u>congruent</u> angle ENW Alternate interior angles

Thus triangle HOW congruent triangle NEW

[wouldn't let me use symbols sorry]

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1 year ago

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yanalaym [24]

Answer:

x = 45

Step-by-step explanation:

Re-order terms so constants are on the left
15 * x/9 - 42 =28

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Cancel terms that are in both the numerator and denominator
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2 years ago