Hi there,
Please check the attached image for answer.
<em>Hope </em><em>it </em><em>helps </em><em>.</em><em>.</em><em>.</em>
Answer:
.
Step-by-step explanation:
If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is
.
Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)
Hence, β = - 3 and α + a = 1 and α - a = -3
Now, solving those two equations of α and a we get,
2α = - 2, ⇒ α = -1 and
a = 1 - α = 2.
Now, eccentricity of the hyperbola is given by
{Since
given}
Therefore, the equation of the given hyperbola will be
. (Answer)
Answer:
The coordinates are
and
.
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where
is the vector translation.
If we know that
and
, then the vector translation is:



Then, we determine the coordinates for Y' and Z':






The coordinates are
and
.
Unbelievably the same answer! Why? circumference is r * 2 * 3.14 = C
so i divided 12.56 with 3.14 = 4 / 2 = 2
the area of circle r^2 * 3.14 = A
2*2 = 4 * 3.14 is the same as circumference
Step-by-step explanation:
Because 3x+8 is not equal to 3x-5
3x cancel out for both side and +8 is not equal to -5