All categories

3 years ago

Show that (3√2-1)² + (3+√2)² is an integer and find its value

Mathematics

1 answer:

Lorico [155]3 years ago

8 0

Answer:

value: 30

Step-by-step explanation:

You might be interested in

Use the Laplace transform to solve differential equation

Inessa [10]

Using Laplace transform we have:L(x')+7L(x) = 5L(cos(2t))sL(x)-x(0) + 7L(x) = 5s/(s^2+4)(s+7)L(x)- 4 = 5s/(s^2+4)(s+7)L(x) = (5s - 4s^2 -16)/(s^2+4)
=> L(x) = -(4s^2 - 5s +16)/(s^2+4)(s+7)
now the boring part, using partial fractions we separate 1/(s^2+4)(s+7) that is:(7-s)/[53(s^2+4)] + 1/53(s+7). So:
L(x)= (1/53)[(-28s^2+4s^3-4s^2+35s-5s^2+5s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]L(x)= (1/53)[(4s^3 -37s^2 +40s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]
denoting T:= L^(-1)and x= (4/53) T(s^3/(s^2+4)) - (37/53)T(s^2/(s^2+4)) +(40/53) T(s^2+4)-(4/53) T(s^2/s+7) +(5/53)T(s/s+7) - (16/53) T(1/s+7)

4 0

3 years ago

Need help!

Leya [2.2K]

9514 1404 393

Answer:

clockwise
90°
origin

Step-by-step explanation:

The answer statement tells you the transformation is a rotation. The original is in the 2nd quadrant, and the image is in the 1st quadrant, representing a clockwise rotation. AB points east, while A'B' points south, a rotation of 90° (clockwise). Each image point is the same distance from the origin as its preimage point. The origin is the center of rotation.

∆ABC is transformed by a clockwise rotation 90 degrees with a center at the origin .

6 0

3 years ago

Someone help pls i will mark u brainliest

Alla [95]

Answer:

Step-by-step explanation:

cant see the picture

8 0

3 years ago

Read 2 more answers

Prior Knowledge Questions (Do these BEFORE using the Gizmo.) Imagine you and your friends are making hot dogs. A complete hot do

slega [8]

Answer:

A. 8 complete hotdogs were made.

B. The wiener.

C. The bun.

Step-by-step explanation:

1 complete hotdog = 1 wiener + 1 bun

You have, 3*10 bun and 8 wiener

= 30 bun and 8 wiener

A. Since, we have 30 bun and 8 wiener and for 1 complete hotdog = 1 wiener + 1 bun

Therefore, 8 hotdogs = 8 wiener + 8 buns

= 8 complete hotdogs are made

Since 8 complete hotdogs are made, 8 wiener and 8 buns are used.

Therefore, the limiting ingredient is the wiener because it is the smallest number of ingredient and none of it was left after making the 8 hotdogs.

C. Since 8 complete hotdogs are made, 8 buns were used

So, the leftover buns = (30 - 8) buns

= 22 buns

The buns is the leftover ingredient

3 0

3 years ago

Simplify 17^2 and 18.79^2.

Westkost [7]

17^2 is 289

18.79^2 is 353.0641

7 0

3 years ago

Show that (3√2-1)² + (3+√2)² is an integer and find its value​

Show that (3√2-1)² + (3+√2)² is an integer and find its value