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schepotkina [342]
4 years ago
8

The volume of the rectangular prism below is 30x^3+35^2+10x factor to find the possible expressions for length width and height

of the prism
A : 3x(2x+1)(5x+2)
B: x(10x+1)(3x+2)
C: 5x(2x+1)(3x+2)
D: 2x(5x+1)(3x+2)
Mathematics
1 answer:
Mekhanik [1.2K]4 years ago
5 0
The correct answer is Choice C.

Here are the steps to factor the expression:

30x^3 + 35x^2 + 10x

5x(6x^2 + 7x + 2)

5x(6x^2 + 3x + 4x + 2)

5x(3x(2x + 1) + 2(2x + 1))

5x(3x + 2)(2x + 1)
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Triangle FGH with vertices F(6,6), G(8,8), and H(8,3): (a) Reflection: in the line x = 5 (b) Translation: (x,y)→ (x - 7, y - 9)
irakobra [83]

(a) The vertices after the reflection in the line x = 5 are F'(4,6) , G'(2,8) , H'(2,3) .

and (b) after translation , the vertices are F''(-1,-3) , G'' (1,-1) , H''(1,-6) .

In the question a triangle FGH with vertices F(6,6) , G(8,8) and H(8,3) is given

Part (a)

the rule for reflection of point (x,y) by the line x = p  is

(x,y) → (2×p - x , y)

reflection by the line x = 5 ,

we get

the vertices as

F'(2×5-6,6) = (4,6)

G'(2×5-8,8) = (2,8)

H'(2×5 - 8 ,3) = (2,3)

Part (b)

the rule of translation is given as (x,y)→ (x - 7, y - 9)

So , the vertices after translation are

F''(6-7 , 6-9) = (-1,-3)

G''(8-7,8-9) = (1,-1)

H''(8-7,3-9) = (1,-6)

Therefore , (a) The vertices after the reflection in the line x = 5 are F'(4,6)

G'(2,8) , H'(2,3) .

and (b) after translation , the vertices are F''(-1,-3) , G'' (1,-1) , H''(1,-6) .

Learn more about Translation here

brainly.com/question/3456459

#SPJ1

7 0
1 year ago
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