Answer:
An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.
Given: MN is angle bisector,
then
....... [1]
Congruent angles are two or more angles that have the same measure.
then;
by definition of congruent angles
[1]⇒ 
......[2]
By the Angle addition postulates states that if M is in the interior of ∠JMK then,
......[3]
Now, by substitution property ; substitute the equation [2] in [3] we get;
......[4]
Like terms terms whose variables are the same
Combine like terms in equation [4] we get
......[5]
Division property of equality states that you divide the same number to both sides of an equation.
Divide by 2 to both sides in equation [5] , we get
Answer:
(x - 8)(x + 3)
Step-by-step explanation:
x² - 5x - 24
Consider the factors of - 24 which sum to give the coefficient of the x- term (- 5)
The factors are - 8 and + 3 , since
- 8 × + 3 = - 24 and - 8 + 3 = - 5
Use these factors to split the x- term
x² - 8x + 3x - 24 ( factor the first/second and third/fourth terms )
= x(x - 8) + 3(x - 8) ← factor out (x - 8) from each term
= (x - 8)(x + 3) ← in factored form
Answer:
939,520 would be the answer. You're rounding the 15 part up to the next ten which would be 20, making the answer 939,520.
When x=0,
y=-(0-2)^3-5
y=3
When y=0,
(x-2)^3=5
x-2= +/- 5^1/3
x= +/- 5^1/3 +2
x= 3.70997 or x=0.29002
To find the turning point at y, substitute the information that you have found above.
y=-(3.70997-2)^3-5
y=-9.99994
Find the mid-point next as mid-point is also the turning point.
(3.70997+0.29002)÷2=1.999995
Hence, Turning point is (1.999995, 9.99994)
Plot a graph using turning point, y value and the 2-x values.
