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)
Triangle angles add up to a total of 180 degrees.
X will substitute for the second angle.
(X - 10) will substitute for the first angle, which is 10 less than the second angle (x).
The third angle is a right angle which is 90 degrees.
The equation therefore, the summation of the angles:
90 + x + (x - 10) = 180
Join like terms:
80 + 2x = 180
Solve for x:
2x = 100
x = 50
This means that:
The second angle is 50.
The first angle is 50 - 10 which is 40.
We can double check by adding the angles 50, 40, and 90 together to get 180.
Answer:
54.8275862069
Step-by-step explanation:
If you want rounded than 54
Answer:
k=2
Step-by-step explanation:
3^k*2 * 3^-k+2 = 81
Factor out 81 to be : 3^4
Rewrite the equation:
k*2 - k+2 = 4
k^2 - 2k = 4
Simplify : k+2 = 4
<u> - 2 - 2</u>
k = 2
