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kipiarov [429]
3 years ago
14

Simplify (√2+1)² + (√2-1)²​

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0

Answer:6

Step-by-step explanation:

*we solve every bracket alone

-(√2+1)² =  [rule:1st *1st + 2*1st*2nd + 2nd*2nd]

2+2√2+1

3+2√2

-(√2-1)=  [rule:1st*1st - 2*1st*2nd + 2nd+2nd]

2-2√2+1

3-2√2

-we write the whole equation

3+2√2+3-2√2 (+2√2 - 2√2) {positive and negative remove each other}

3+3=6

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3⋅ 3/5 (3/5 is a fraction)
LUCKY_DIMON [66]
Well its a simplest form of zero and 6 tenths and if u divide it by 2 youll get 3/5 as a fraction
6 0
4 years ago
What is the translation from quadrilateral IJK to<br> quadrilateral I'J’K’
liberstina [14]

Answer:

The translation from triangle IJK to triangle I'J'K' is T_{(2, 6)} which is 2 units to the right and 6 units up

Step-by-step explanation:

The coordinates of triangle JKI are;

J has coordinates (1, - 1)

K has coordinates (1, - 4)

I has coordinates (-3, - 2)

While, the coordinates of translation triangle J'K'I' are;

J' has coordinates (3, 5)

K' has coordinates (3, 2)

I' has coordinates (-1, 4)

Which give the translation as follows

Translation in the y-coordinate (y values);

For J = 5 - (-1) = 6

For K = 2 - (-4) = 6

For I = 4 - (-2) = 6

Translation in the x-coordinate (x values);

For J = 3 - 1 = 2

Therefore, the translation from triangle IJK to triangle I'J'K' is T(2, 6) which is 2 units to the right and 6 units up

6 0
3 years ago
Write a verbal expression for 3n - 8.
Alchen [17]

(B) 8 less than the product of 3 and n

Here, we are given an equation 3n - 8

Let us consider each of the options one by one

(A) the product of 3, n and 8 will be written as 24n. Hence this isn't the correct answer.

(B) 8 less than the product of 3 and n will be written as 3n - 8. This matches our equation and hence is the correct answer.

(C) n minus 8 times 3 will be written as 24 - n. Hence, this is also incorrect.

(D) 3 times n less than 8 will be written as 8 - 3n. Thus, this is also eliminated.

Therefore, option B is the correct answer.

Learn more about expressing equations here-

brainly.com/question/4344214

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6 0
2 years ago
The longest human power sporting event is the tour de France cycling race in a particular year the average speed for the winner
sergey [27]

Answer:

The winner completed the race in 96 hours and 52 minutes.

Step-by-step explanation:

Given:

Distance of the cycling race = 2292 miles

Average speed of the winner = 23.66\  mph

We need to find time required by winner to complete the race.

Solution:

Now we know that;

Time required can be calculated by dividing Total Distance from the Average speed.

framing in equation form we get;

time required by winner to complete the race = \frac{2292}{23.66} = 96.87\ hrs

Now converting 0.87\ hrs into minutes we get;

0.87\times 60= 52.2\approx 52\ mins

Hence the winner completed the race in 96 hours and 52 minutes.

3 0
3 years ago
The large sample 98% confidence interval for the proportion of hotel reservations that are canceled on the intended arrival day
Digiron [165]

Answer:

27

Step-by-step explanation:

3 0
3 years ago
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