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Marianna [84]
3 years ago
9

Expand and reduce (2+√3)^2

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

7 + 4\sqrt{3}

Step-by-step explanation:

note that \sqrt{a} × \sqrt{a} = a

Given

(2 + \sqrt{3} )² = (2 + \sqrt{3} )(2 + \sqrt{3} )

Each term in the second factor is multiplied by each term in the first factor, that is

2(2 + \sqrt{3} ) + \sqrt{3}(2 + \sqrt{3} ) ← distribute both parenthesis

= 4 + 2\sqrt{3} + 2\sqrt{3} + 3 ← collect like terms

= 7 + 4\sqrt{3}

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KiRa [710]
X=first week
y=second week
z=third week
t=fourth week

18 more one 2nd week than 1st
x+18=y
x=y-18

3rd week, 4 less than 2 times as second
z=2y-4

4th week, 92

ttal=382

x+y+z+t=382
sub waht we know
x=y-18
y=y
z=2y-4
t=92

y-18+y+2y-4+92=382
conbine line terms
4y+70=382
minus 70 boht sides
4y=312
divide both sides by 4
y=78

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8 0
4 years ago
Saved
faltersainse [42]
Its D. -18 hope this helps :D
5 0
3 years ago
Please help with this word problem<br> thanks
Luda [366]
When  a jogger runs south and then turns west, we have right angle between segment 0.8 mi and segment to the west. So it is legs of the right triangle.
1.7 mi is hypotenuse.

hypotenuse² =(leg1)²+(leg2)²
1.7²=0.8² + (leg2)²
(leg2)²=1.7²-0.8² = 2.25 mi²
leg2=√(2.25 mi²)
leg2=1.5 mi
Answer is 1.5 mi.
4 0
4 years ago
Clas...
vesna_86 [32]

Answer:

So, the original space of her garden was 20ftl + 4ftw. This makes her garden have a starting area of 80ft.

She then adds another 72ft (12ftl x 6ftw) which brings the total area to 152ft.

We have 152ft to work with here, if she wants to use 100 of those ft for vegetables, and the rest to plant fruits, we have to subtract 100 from 152 which gives us 52.

Answer:

The Fruits will take up 52ft of land.

Hope this helped!

6 0
3 years ago
HELP ME PLS AHH FINALS
Nady [450]

Answer:

it might be 13 because 12×13 is 156 if you do 12 times any of the other numbers its over 159 or under. hope this helps:)

5 0
3 years ago
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