Answer:
9x² + 12
Step-by-step explanation:
Area = Length × Width
Area = 3 × (3x² + 4)
Area = 9x² + 12
Answer:
A vector? Let me know if I'm right.
Answer:
20 units
Step-by-step explanation:
calculating volume of a rectangular prism is done by multiplying length x width x height. the prism is 5 units tall, 2 units wide, and 2 units long (or deep), so you multiply 5x2x2 to get twenty
ANSWER

EXPLANATION
The given sequence is
3,-5,-13,.....-229.
The first term of this sequence is
a_1=3
There is a common difference of

The last term of this sequence is -229.
The nth term of this sequence is given by:

We use the last term to determine the number of terms in the sequence.



Divide through by -8;


Hence there are thirty terms in the sequence.
The sum of the first n terms is given by:

The sum of the first 30 terms is given by:



We know that
Any point <span>(x,y)</span> on the parabola is equidistant from the focus and the directrix
Therefore,
focus (0,4) and directrix of y=2
<span>√[<span>(x−0)</span></span>²+(y−4)²]=y−(2)
<span>√[x</span>²+(y-4)²]=y-2
x²+(y-4)²=(y-2)²
x²+y²-8y+16=y²-4y+4
x²=4y-12-----> 4y=x²+12----->y= (x²/4)+3
the answer is
y= (x²/4)+3