°Alternate interior angles are equal
°Corresponding angles are equal
°Vertically opposite angles are equal
°Angles on the same side of tranversal are supplementary
Answer:
-5
Step-by-step explanation:
Moving all terms of the quadratic to one side, we have
.
A quadratic has one real solution when the discriminant is equal to 0. In a quadratic
, the discriminant is
.
(The discriminant is more commonly known as
, but I changed the variable since we already have a
in the quadratic given.)
In the quadratic above, we have
,
, and
. Plugging this into the formula for the discriminant, we have
.
Using the distributive property to expand and simplifying, the expression becomes

Setting the discriminant equal to 0 gives
.
We can then solve the equation as usual: first, divide by 2 on both sides:
.
Squaring both sides gives
,
and subtracting 5 from both sides, we have

Answer:
The last option
V = (-1.5,3)
other options dont lie where V is exact
V is only Exact at (-1.5,3)
9514 1404 393
Answer:
(x -2)^2 +(y +4)^2 = 16
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
You have (h, k) = (2, -4) and r = 4, so your equation is ...
(x -2)^2 +(y -(-4))^2 = 4^2
(x -2)^2 +(y +4)^2 = 16