Answer:
x=1
Step-by-step explanation:
1. Complete the square on the right side of the equation.
5
(
x
−
1
)2
−
18
2. Use the vertex form, y
=
a
(
x
−
h
)
2
+
k
, to determine the values of a
, h
, and k
.
a=
5
h
=
1
k
=
−
18
3. Since the value of a is positive, the parabola opens up.
Opens Up
4. Find the vertex (
h
,
k
)
.
(
1
,
−
18
)
5. Find p
, the distance from the vertex to the focus.
1
/20
6. Find the focus.
7. (
1
,
−
359/
20
)
8. Find the axis of symmetry by finding the line that passes through the vertex and the focus.
ANSWER: x
=
1
Answer:
The radius of the inflated spherical balloon is 45 millimeters.
Step-by-step explanation:
Volume of the spherical water balloon = 121,500 pi cubic millimeters
Let the radius of the balloon = r
Now, Volume of a Sphere = 
⇒
On solving for the value of r, we get:
![r^{3} = \frac{121,500\times 3}{4} = 91125\\ \implies r = \sqrt[3]{91125}](https://tex.z-dn.net/?f=r%5E%7B3%7D%20%20%3D%20%5Cfrac%7B121%2C500%5Ctimes%203%7D%7B4%7D%20%20%20%3D%2091125%5C%5C%20%5Cimplies%20%20r%20%20%3D%20%5Csqrt%5B3%5D%7B91125%7D)
or, r = 45 millimeter
Hence, the radius of the inflated spherical balloon is 45 millimeters.
Answer:
Options (1), (5), and (6)
Step-by-step explanation:
See attached image
Answer:
hello
Step-by-step explanation:
how are u :)
The sketch of the garden and the pond is shown below
Area of garden = length × width
Area of garden = [3x + 5] × 3x
Area of garden = 3x[3x+5]
Area of garden = 9x² + 15x
Area of pond = [x-2] × x
Area of pond = x[x-2]
Area of pond = x² - 2x
Area to be re-sod = Area of garden - Area of pond
Area to be re-sod = 9x² + 15x - [x² - 2x]
Area to be re-sod = 9x² - x² + 15x + 2x
Area to be re-sod = 8x² + 17x
The amount of sod needed to be bought would depend on how much in each packaging they are being sold.