Circumcenter is where three perpendicular bisectors intersect and incenter is where the three angle bisectors intersect.
Way to find them and the theorems are mentioned below.
Step-by-step explanation:
To find Incenter :
Construct angle bisectors of each angle of the triangle and their intersection point gives the incenter.
To find Circumcenter:
Construct perpendicular bisectors of all sides of triangle and their intersection point gives the circumcenter.
Circumcenter Theorem: It states that the vertices of a triangle are equidistant from the circumcenter.
Incenter Theorem: It states that the incenter is equidistant from the sides of the triangle.
Answer:
slope = 3
point (2, 5)
b = y - m*x
b = 5 -3*2
b = -1
Then we enter the slope and the value of b into this equation:
y = mx + b
y = 3x -1
Source: https://www.1728.org/distance.htm
Step-by-step explanation:
The absolute value of -54 is 54.
So The answer is A
Answer:

Step-by-step explanation:
Since the divisor of
is in the form of
we use what is called Synthetic Division. Now, in this formula, −c gives the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 1 −17
↓ 4 20
_________
1 5 3 → 
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + x - 17]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, the 5 follows right behind it, and bringing up the rear,
giving you the quotient of
However, in this case, since you have a remainder of 3, this gets set over the divisor.
I am joyous to assist you anytime.
Answer:
my hypothesis is that the answer is on page 31 of Harry potter and the Prisoner of Azkaban, it'll be the 48th word. God speed old chum
Step-by-step explanation: