9514 1404 393
Answer:
x = 28
Step-by-step explanation:
The marked angles are supplementary, so you have ...
(3x +10) +(3x +2) = 180
6x +12 = 180 . . . . . . . . . . simplify
x +2 = 30 . . . . . . . . divide by 6
x = 28 . . . . . . . subtract 2
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<em>Additional comment</em>
You might generally solve a 2-step linear equation by doing the subtraction first, then the division by the coefficient of the variable. If all of the numbers are a multiple of that coefficient, I like to do the division as soon as I can. That way, the numbers I'm working with are as small as possible, and once I isolate the variable term, I have the answer.
The obtuse angle (on the left) is 94°; the acute angle is 86°.
Please provide a larger picture
Answer:
Step-by-step explanation:
f(x) = 6x³-x²+4x+5
g(x) = 9x³-1
(f+g)(x) = {6x³-x²+4x+5} + {9x³-1}
open brackets
6x³-x²+4x+5 + 9x³-1
choose like terms
6x³+ 9x³-x²+4x+5 -1
15x³-x²+4x+4= x²(15x-1)+4(x+1)= (x²+4)(x+1)(15x-1)
(f+g)(x)= 15x³-x²+4x+4 = (x²+4)(x+1)(15x-1)
(f+g)(2) = 15(2)³-(2)²+4(2)+4 = 15(8)-4+8+4 = 120+8 = 128
(f-g)(x) = {6x³-x²+4x+5} - {9x³-1}
open brackets
6x³-x²+4x+5 - 9x³+1
choose like terms
6x³- 9x³-x²+4x+5 +1
-3x³-x²+4x+6= -x²(3x+1)+2(2x+3)= (-x²+2)(3x+1)(2x+3) = (2-x²)(3x+1)(2x+3)
(f-g)(x) = -3x³-x²+4x+6 = (2-x²)(3x+1)(2x+3)
(f-g)(-3) = -3(-3)³-(-3)²+4(-3)+6 = -3(-3x-3x-3)-(-3x-3)-12+6=-3(-27)-3(9)-12+6= 81-27-12+6 = 54-6= 48
(f-g)(-3) = 48
The best choice would be the option 3cm
Just Put -8 in for X 4(-8)+5 goes to -32+5 to 27
