Answer: Circumcenter
This is the center of the circle that goes through the three vertices of the triangle. This circle is known as the circumcircle. It is the smallest circle possible in which the circle encompasses the triangle and none of the triangle spills outside the circle.
Distributive property is basiclly simplifing
Answer:
21, 8
Step-by-step explanation:
The second endpoint is of the form (X, 8) since it's parallel to the x axis.
Given the congruence of the two segments, we can tell that its length is 16 units (since 
)
At this point the two possible endpoints for the segment are 
or 
. The fact that the segment has to sit in the first quadrant rules out the first option (it's endpoint will be at (-11, 8) which will set most of it in the second quadrant) and we're left with (21, 8)
Answer:
(- 3, 0 ) and (5, 0 )
Step-by-step explanation:
To find the x- intercepts let f(x) = 0 , that is
x² - 2x - 15 = 0
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (- 2)
The factors are - 5 and + 3 , since
- 5 × 3 = - 15 and - 5 + 3 = - 2 , then
(x - 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 3 = 0 ⇒ x = - 3
The x- intercepts are (- 3, 0 ) and (5, 0 )
