Step-by-step explanation:
given :
2x - 3y = 11
-6x + 8y = 34
find : the solutions of the system by using Cramers Rule.
solutions:
in the matrix 2x2 form =>
[ 2 -3] [x] [11]
=
[-6 8] [ y] [34]
D =
| 2 -3 |
|-6 8 |
= 8×2 - (-3) (-6)
= 16-18 = -2
Dx = | 11 -3 |
| 34 8 |
= 11×8 - (-3) (34)
= 88 + 102
= 190
Dy = | 2 11 |
|-6 34 |
= 2×34 - (-6) (11)
= 68 + 66
= 134
x = Dx/D = 190/-2 = -95
y = Dy/D = 134/-2 = -67
the solutions = {-95, -67}
The answer is A) because the parabola is less than 3 (open circle) and the line is greater than and equal to 3 (closed circle)
Answer:
A = 37 degrees ; B = 82 degrees
Step-by-step explanation:
the angle A plus 143 must measure 180 degrees
angle A = 180 - 143 = 37 degrees
the sum of the inner angles of a triangle is 180 degrees
A + B + C = 180
37 + B + 61 = 180
B = 180 - 98 = 82 degrees
