Solve pls brainliest
1 answer:
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Answer:
Step-by-step explanation:
This is written in the standard form of a quadratic function:
where:
- ax² → quadratic term
- bx → linear term
- c → constant
You need to convert this to vertex form:
where:
- (h,k) → vertex
To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:
Using your original equation, identify the a, b, and c terms:
Insert the known values into the equation:
Simplify. Two negatives make a positive:
X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:
Simplify using PEMDAS:
The value of y is -6 (3,-6). Insert these values into the vertex form:
Insert the value of a and simplify:
:Done
Answer: The correct option is fourth, i.e., 1935 cm³.
Explanation:
It is given that the vase is 30 cm tall and the hexagon base has an area of 64.5 cm².
The area of a hexagon base is,
Where, a is the side length.
The volume of the a hexagon glass is,
Where, A is area of base of hexagon and h is height of the hexagon glass.
Therefore the volume of the glass is 1935 cm³ and the glass can hold 1935 cm³ water. So, fourth option is correct.