Substitute this into the parabolic equation,
We're told the line 
intersects 
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know
We can tell from the quadratic equation that has its vertex at the point (3, 6). Also, note that
and
so the furthest to the right that extends is the point (5, 2). The line passes through this point for 
. For any value of 
, the line passes through either only once, or not at all.
So 
; in set notation,
The answer is 3.16 ft
The surface area (SA) of the rectangular prism is:
SA = 2lw + 2ld + 2wd
However, the pool is without the top side, so the area of the top side should be excluded from the surface area of the pool. The surface area of the rectangular pool is:
SA = lw + 2ld + 2wd
We know:
SA = 210 ft²
l = 9 ft
w = 10 ft
d = ?
210 = 9 * 10 + 2 * 9 * d + 2 * 10 * d
210 = 90 + 18d + 20d
210 - 90 = 38d
120 = 38d
d = 120/38
d = 3.16 ft
The volume of the sphere is 267. 95 cm³.
<h2>Given </h2>
The radius of the sphere is 4cm.
<h3>What is the volume of sphere?</h3>
The volume of a sphere is the three-dimensional space occupied by a sphere.
The volume of the sphere is determined by the following formula;
Where r is the radius of the sphere.
Substitute all the values in the formula;
Hence, the volume of the sphere is 267. 95 cm³.
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Answer:
340 ft²
Step-by-step explanation:
perimeter of rectangle = 2 x (L+W) = 2L + 2W = 74 .....(1)
cost of two length : $1 x 2L
cost of two width: $3.50 x 2W
($1 x 2L) + ($3.50 x 2W) = $159
2L + 7W = 159 ....... (2)
(2) - (1) ... 5W = 85
W = 17
L = (74 - 2 x 17) / 2 = 20
dimension = 17 x 20 = 340 ft²
