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Elan Coil [88]
2 years ago
15

Simplify fully WITHOUT using a calculator (3√2 -12)(2√2+1)​

Mathematics
2 answers:
natita [175]2 years ago
6 0

Answer:

33\sqrt{2} +12

Step-by-step explanation:

(3\sqrt{2}  - 12)(2\sqrt{2} + 1)

6\sqrt{2}  + 3\sqrt{2} -12(2\sqrt{2})+12

9\sqrt{2}+24\sqrt{2}+12

33\sqrt{2} +12

xenn [34]2 years ago
6 0

Answer:

21\sqrt{2

Step-by-step explanation:

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PLEASE HELP
stira [4]

Answer:

The values of x and y are x = 3 and y = 11

Step-by-step explanation:

The isosceles triangle has two equal sides in length, and its base angles are equal in measures

In ΔJKL

∵ ΔJKL is an isosceles triangle with vertex K

→ That means the equal sides are JK and KL

∴ JK = KL

∵ JK = 8x and KL = 13x - 15

→ Equate them

∴ 13x - 15 = 8x

→ Add 15 to both sides

∵ 13x - 15 + 15 = 8x + 15

∴ 13x = 8x + 15

→ Subtract 8x from both sides

∵ 13x - 8x = 8x - 8x + 15

∴ 5x = 15

→ Divide both sides by 5 to find x

∴ x = 3

∵ K is the vertex of the ΔJKL

∴ ∠KJL and ∠KLJ are the base angles

∵ The base angles are equal in measures

∴ m∠KJL = m∠KLJ

∵ m∠KJL = 5y - 3

∴ m∠KLJ = 5y - 3

∵ The sum of the measures of the angles of a Δ is 180°

∴ m∠KJL + m∠KLJ + m∠JKL = 180°

∵ m∠JKL = 76°

→ Substitute the measures of the 3 angles in the equation

∴ 5y - 3 + 5y - 3 + 76 = 180

→ Add the like terms on the left side

∵ (5y + 5y) + (76 - 3 - 3) = 180

∴10y + 70 =180

→ Subtract 70 from both sides

∵ 10y + 70 - 70 = 180 - 70

∴ 10y = 110

→ Divide both sides by 10 to find y

∴ y = 11

∴ The values of x and y are x = 3 and y = 11

5 0
3 years ago
How do i get the answer to this? <br> 2g + 4g + 5g
IceJOKER [234]
If you add them together you will get 11g
5 0
3 years ago
Read 2 more answers
60 G of Henry's favorite breakfast cereal is 1/4 sugar how much sugar is in a 60g serving converted
katrin2010 [14]

Answer:

Step-by-step explanation:

Fraction of sugar in 60 gram cereal = 1/4

1/4 parts means that if 60 gram sugar is divided into four parts then out of that one part is sugar.

Amount of sugar in cereal in grams = 1/4 of 60 gram

Amount of sugar in cereal in grams = 1/4 * 60 gram = 15 grams.

Therefore, 15 grams sugar is in a 60 gram serving converted.

4 0
3 years ago
Would 8ft. 24ft. and 33ft make a triangle?
jenyasd209 [6]
Remember, the length of the longest sid must be less than the sum of the other 2 sidess

33 is longest
33<24+8
33<32
false

it would not make a triangle
6 0
3 years ago
A bus trip takes 1.5 hours. By plane, the same trip takes 30 minutes. How
DENIUS [597]

Answer:

2 times faster

Step-by-step explanation:

because the plane takes one hour less than the bus and 60 min equal a hour and 30 plus 30 equal 60 which is a hour so then it would be 2 times as faster because it is 30 twice to equal the 60

4 0
3 years ago
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