Answer:
Select:
11 x 3
4 x 11
5 x 11
Step-by-step explanation:
Notice that the surface area of the prism consists of three rectangles (whose area formula is the product of "length times the width" of each lateral surface), plus the area of two equal right-angle triangles of base 4 and height 3)
Therefore, the formulas we will need to use are:
1) for one of the rectangular faces = 11 x 3
2) for another rectangular face = 5 x 11
3) for the third rectangular face = 4 x 11
4) for each of the triangular bases =
Therefore only three formula expressions need to be selected from the given list.
Answer:
- 24 - 5x
Step-by-step explanation:
1) Remove Parentheses
-2 - 3x - 6 - 9 - 7 + x - 3x
2) Collect like terms
( -2 - 6 - 9 - 7) + (-3x+x-3x)
3) Simplify
Answer:
Eric is incorrect. p = 4, not 11.
Step-by-step explanation:
The left expression simplifies to 4^(3p)*4^3. On the right side we have 4^15. The exponent on the left side must equal the exponent on the right side:
3p + 3 = 15 (the bases are all the same: 4)
Then 3p = 12, and p = 4. Eric is wrong: p is not 11.
We could assume that p = 11 and determine whether or not the equation is true:
(4^11*4^1)^3 = 4^15. Since the bases are all the same (4), focus just on the exponents. Is (11+1)*3 = 15? NO.
Now try p = 4:
(4^4*4^2)^3 = 4^15. Again, focus on the exponents.
Is (4+1)*3 = 15? Is 5*3 = 15? YES. So p = 4 is correct; p = 11 is incorrect.
Answer:
No solutions
Step-by-step explanation:
So putting that into an equation it equals
2k+8=(4k+14)÷2
Move the 2 to the other side.
2∙2k+8=4k+14
Simplify.
4k+8=4k+14
It doesn't make sense so No Solutions