Answer:
x = 4
Step-by-step explanation:
The vertex is on the line of symmetry. The zeros are located equidistant from the line of symmetry, which is ...
x = (2 + 6)/2 = 4
The x-coordinate of the vertex is x=4.
A carton of orange juice holds 10 cups. A recipe for fruit smoothies requires 1 1/4 cups of orange juice. How many recipes could
1 answer:
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Answer:
If , the slang height of the cone is approximately 23.521 inches.
Step-by-step explanation:
The surface area of a cone (A) is given by this formula:
Where:
- Base radius of the cone, measured in inches.
- Slant height, measured in inches.
In addition, the slant height is calculated by means of the Pythagorean Theorem:
Where is the altitude of the cone, measured in inches. If
, then:
And:
Given that , the following second-order polynomial is obtained:
Roots can be found by the Quadratic Formula:
As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.