Brayden's horse gained 9 pounds over a 3 week
2 answers:
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Answer:
(x - 8)² + (y + 6)² = 25
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 ) = (8, - 6 ) , then
(x - 8)² + (y - (- 6))² = r² , that is
(x - 8)² + (y + 6)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r =
with (x₁, y₁ ) = (8, - 6 ) and (x₂, y₂ ) = (5, - 2 )
r =
=
=
=
=
= 5
Then equation of circle is
(x - 8)² + (y + 6)² = 5² , that is
(x - 8)² + (y + 6)² = 25
Step-by-step explanation:
Let's represent the two integers with the variables and
.
From the problem statement, we can create the following two equations:
With the first equation, we can subtract from both sides to isolate the
variable to the left-hand side:
Now that we have a value for , we can plug it into the second equation and solve for
:
Now, let's move everything to one side of the equation:
Factoring this quadratic will give us two values for :
Since we now know , we can plug this back into either of the original equations to get a value for
, which will be
.
So the two numbers that sum to and have a product of
are
.