PLEASE HELPPP!! I need help with both questions
1 answer:
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Answer:
Yes.
Step-by-step explanation:
Two dots (or segments) on the vertical line would result in the graph not to be a function.
(see picture)
Answer:
(x - 3)² + (y + 5)² = 10
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (3, - 5 ) , then
(x - 3)² + (y - (- 5) )² = r² , that is
(x - 3)² + (y + 5)² = r²
r is the distance from the centre to a point on the line
Calculate r using the distance formula
r =
with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)
r =
=
=
= ⇒ r² = (
)² = 10
(x - 3)² + (y + 5)² = 10 ← equation of circle
Answer:
Step-by-step explanation:
The midpoint formula is
and we have the coordinates of the midpoint and the coordinates of one endpoint. Filling that in we have:
and we will solve for the missing values one at a time. x first:
and
-10 = -4 + x₂ so
-6 = x₂ and do the same for y:
and
-8 = -7 + y₂ so
-1 = y₂
Thus, the coordinates of point g are (-6, -1)