Answer:
On solving
The value of x =
Step-by-step explanation:
Solve:
Subtraction property of Equality states that Subtract the same number from both sides of the equation.
Subtract from both sides of the above equation:
On simplify we get;
⇒ or we can write it as
Therefore, the value of x =
x=35
180-147=33 (angles in a straight line)
33+3x+42=180 (angles in a triangle)
3x+42=147
147-42=105
105/3=35
see explanation
Expand both factors and collect like term
Using Pascal' triangle with n = 6 to obtain the coefficients
1 6 15 20 15 6 1
Decreasing powers of 1 from to
Increasing powers of 3x from to
= 1. + 6. + 15. + 20. + 15.1² + 6. + 1.
= 1 + 18x + 135x² + 540x³ + 1215 + 1458 + 729
--------------------------------------------------------------------------------------
= 1 - 18x + 135x² - 540x³ + 1215 - 1458 + 729
----------------------------------------------------------------------------------
Collecting like terms from both expressions
+
= 2 + 270x² + 2430 + 1458
----------------------------------------------------
(2)
Using Pascal's triangle with n = 5
1 5 10 10 5 1
Increasing powers of 2x from to
= 1. + 5. + 10. + 10. + 5.+ 1.
= 1 + 10x + 40x² + 80x³ + 80 + 32
-2.5
The point is between -2 & -3
y = -x - 2
Note that the given line, y=-x+3, has a slope of -1. Any new line parallel to this one must also have that slope, -1:
y=-x+3 becomes 3 = -(-5) + C, where C is the y-intercept:
3 = 5 + C, or C = -2
Thus, the desired equation of this new line is y = -x - 2