Answer:
- -5, -18
- -5x -18x
- (x -3)(6x -5)
Step-by-step explanation:
a) The factors of 90 are ...
90 = (-1)(-90) = (-2)(-45) = (-3)(-30) = (-5)(-18) = (-6)(-15) = (-9)(-10)
The sums of these factors are -91, -47, -33, -23, -21, -19.
The factor pair with the sum of -23 is of interest here. Those factors are ...
-5, -18
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b) -23x = -5x -18x
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c) The rewritten expression is ...
6x^2 -5x -18x +15
(6x^2 -5x) -(18x -15) . . . . group into pairs
x(6x -5) -3(6x -5) . . . . . . .factor each pair
(x -3)(6x -5) . . . . . . . . . . factor out the common factor (6x -5)
I graphed it out and it seems that both A and C are correct. I would check them to make sure.
Answer:
The answer is D
Step-by-step explanation:
Coplanar means that they are on the same closed area(or plane)- P, M, C, N are all on the same Plane.
Answer:
46
Step-by-step explanation:
With those problems if you are not given a picture is good we draw one.
Because an angle bisector forms 2 congruent angles and because is given that < XVY ≅ < YVW then
m < XVY = m < YVW
2x+7 = x+15 , subtract x and 7 from both sides to isolate the like terms
2x-x = 15-7, combine like terms
x = 8
From the picture and the given we see that
m < XVW = m < XVY + m < YVW
m < XVW = 2x+7 + x+15 , combine like terms
m < XVW = 3x + 22, substitute x for 8
m < XVW = 3*8 + 22
m < XVW = 46
Check our work:
m < XVY = 2x+7 = 2*8 +7 = 16 +7 = 23
m < YVW = x+15 = 8 +15 = 23
m < XVW = m < XVY + m < YVW = 23+23 =46