Which of the following expressions is true? a. 8^3 • 8^2 < 8^4b. 4^4 • 4^4 = 4^16c. 2^2 • 2^6 < 2^8d 3^3 • 3^3 > 3^5

The answer is D.

Step-by-step explanation:

A. 8^3 x 8^2 < 8^4

8^3 = 512    8^2 = 64       512 x 64 = 32768

8^4 = 4096                  32,768 < 4096 is NOT true

B. 4^4 x 4^4 = 4^16

4^4 = 256       256 x 256 = 65536

4^16 = 4294967296

256 = 4294967296   is NOT true

C. 2^2 • 2^6 < 2^8

2^2 = 4     2^6 = 64    64*4 = 256

2^8 = 256             256 < 256   is NOT true

D. 3^3 • 3^3 > 3^5​

3^3 = 27    27*27 = 729

3^5 = 243

729 > 243 IS true

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

since no one answered yet i will give it a shot, not completely sure tho.

i think it should be y=cos(x+2pi), (third answer, answer c)

good luck.