Answer:
5/28
Step-by-step explanation:
The equation of a parabola has 4 general equations:
(x - h)² = 4a(y - k)
(x - h)² = -4a(y - k)
(y - k)² = 4a(x - h)
(y - k)² = 4a(x - h)
You will notice that the equation contains an x². So, our choices will be narrowed down to:
(x - h)² = 4a(y - k)
(x - h)² = -4a(y - k)
where, the vertex has the coordinates (h.k)
y = 6x² - 24x + 30
Divide both sides by 6,
y/6 = x² - 4x + 5
y/6 - 5 = x² - 4x
Completing the squares, add (-4/2)² = 4 to both sides,
y/6 - 5 + 4 = x² - 4x + 4
y/6 - 1 = (x - 2)²
1/6(y - 6) = (x - 2)²
Thus, h=2 and k=6. The vertex is at point (2,6).
Answer:
Answer:
1
x
−
5
Explanation:
x
2
−
25
is a
difference of squares
a
2
−
b
2
=
(
a
−
b
)
(
a
+
b
)
x
2
−
25
=
x
2
−
5
2
=
(
x
−
5
)
(
x
+
5
)
(
x
+
5
)
(
x
+
5
)
(
x
−
5
)
=
1
x
−
5
with restriction
x
≠
5
Jacobi J.
Jun 22, 2018
Answer:
1
x
−
5
Explanation:
The key realization is that our denominator fits the difference of squares pattern
a
2
−
b
2
, which factors as
(
a
+
b
)
(
a
−
b
)
.
We can rewrite
x
2
−
25
as
(
x
+
5
)
(
x
−
5
)
, which allows us to rewrite our original expression as
x
+
5
(
x
+
5
)
(
x
−
5
)
The
x
+
5
terms on the top and bottom cancel, and we're left with
x
+
5
x
+
5
(
x
−
5
)
1
x
−
5
Hope this helps!
2
x
8
x
+
24
?
How do you divide:
(
4
x
2
−
10
x
−
24
)
divide by (2x+3)?
How do you divide:
5
a
2
+
6
a
−
9
into
25
a
4
?
How do you simplify
3
m
22
+
27
m
n
−
12
3
m
?
How do you simplify
25
−
a
2
a
2
+
a
−
30
?
Hope I did not make it to complated
Please give me Brainliest