|4b - 4| + |3 - b³| + 2b³
subtitute b = 2 to the expression
|4·2 - 4| + |3 - 2³| + 2·2³ = |8 - 4| + |3 - 8| + 2·8 = |4| + |-5| + 16 = 4 + 5 + 16 = 25
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|4b - 4| + |3 - b²| + 2b³
|4·2 - 4| + |3 - 2²| + 2·2³ = |8 - 4| + |3 - 4| + 2·8 = |4| + |-1| + 16 = 4 + 1 + 16 = 21
Answer: C. A rectangle.
Step-by-step explanation:
1. By definition, a cross section is the intersection of a plane and a body of three dimensions.
2. A pentagonal prism has a pentagon as its base and its lateral faces are rectangles.
3. If the pentagonal prism is cut by a plane perpendicular to the base, this means that the plane is parallel to lateral faces, then, the shape of the cross section that is formed is also a rectangle.
4. The answer is the option C.
Answer:
- B.
.
Step-by-step explanation:
<u>Step 1:</u>
<u>Step 2:</u>
<u>Step 3:</u>
- Factoring

- The first term is,
its coefficient is 1 . - The middle term is, -p its coefficient is -1 .
- The last term, "the constant", is +11
- Step-1 : Multiply the coefficient of the first term by the constant 1 • 11 = 11
- Step-2 : Find two factors of 11 whose sum equals the coefficient of the middle term, which is -1 .
- -11 + -1 = -12
- -1 + -11 = -12
- 1 + 11 = 12
- 11 + 1 = 12
-
- Observation : No two such factors can be found !!
- Conclusion : Trinomial can not be factored
<u>Final Solution:</u>
Black line m = -1/2 b = 2
blue line m = 1/3 b = -3
green line m = 2 b = 1/2
hope this helps.......
Answer:
Yes
Step-by-step explanation:
using distributive properties,
(3x+1)(4x-5) = 3x(4x-5) + 1(4x-5)
=> 12x^2 - 15x +4x - 5
=> 12x^2 - 11x - 5