When two adjacent angles form a straight line, they are called linear pair. They add up to 180.
j + 102 = 180
j = 180 - 102
j = 78
X^3 - x^2 - x + 1 = 0
Plug in x = 1:-
1 -1 - 1 + 1 = 2 - 2 = 0 so x =1 is a root.
If it has multiplicity 3 then the function will factor to (x - 1)^3:-
(x - 1)^3 = (x - 1)(x^2 - 2x + 1) = x^3 - 2x^2 + x - x^2 + 2x - 1
= x^3 - 3x^2 + 3x - 1 so it is FALSE
Answer:
a, subtraction
Step-by-step explanation:
it is the inverse of addition
First make a triangle by connecting the center point of the circle to one of the end points of the chord.
This will make a right triangle. The new formed line is the radius of the circle and will be the hypotenuse of the right triangle too.
Since one of the legs of the right triangle is half the chord, divide the chord in to two.
9.6 / 2 = 4.8
Now we can calculate for the hypotenuse.
Pythagorean theorem states that a²+b² = c²
So
√2.4² + 4.8² = c
√5.76 + 23.04 = c
√28.8 = c
5.4 = c
C is the hypotenuse and the hypotenuse is known as the radius of the circle.
So the radius is 5.4
Answer:
Since time can't be negative, the only possible solution is 0.72 s.
Step-by-step explanation:
When the ball hits the ground its height is equal to 0, so we must find a value for "t" that results in h = 0. We have:

Since time can't be negative, the only possible solution is 0.72 s.