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Viefleur [7K]
3 years ago
5

Select the sum of the series. ∑4k=1k2

Mathematics
1 answer:
SashulF [63]3 years ago
7 0
File under /hs. c= file remove. cmx.html. please refile.
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PLEASEEEEE HELP FOR 15 POINTS AND BRAINLIEST
galina1969 [7]
The balance in dollars at the end of 4 years will be $1,462.50
8 0
2 years ago
Let P be the parabola with focus (0,4) and directrix y=x.Write an equation whose graph is a parabola with a vertical directrix t
prisoha [69]

Answer:

y²=4√2.x

Step-by-step explanation:

The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.

The distance between the focus and the directrix of the parabola P is

\frac{ |0-4| }{\sqrt{(1)^{2}+(-1)^{2}  } }=\frac{4}{\sqrt{2} }

{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by \frac{ |ax1+by1+c| }{\sqrt{a^{2}+b^{2}  } } }

Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax

{Since the parabola has vertical directrix}

Hence, the distance between focus and the directrix is 2a = \frac{4}{\sqrt{2} }, {Two parabolas are congruent when the distances between their focus and the directrix are same}

⇒ a=√2

Therefore, the equation of the parabola is y²=4√2.x (Answer)

3 0
3 years ago
For the diagram below which equation is the correct use of the distance formula
sdas [7]
The Answer is A, verified apex 
8 0
3 years ago
Read 2 more answers
Which arrangement for these numbers is from least to greatest?
laiz [17]

Answer: D) -5/6 < -3/5 < -4/7 < -4/9

Step-by-step explanation:

Since putting fractions from least to greatest by using negatives the number or fraction has to be closed to 0. -5/6 is the farthest from 0 so it'll be the least -4/9 is closes to 0 so -4/9 is the most.

8 0
3 years ago
How do I simplify this expression?
Hatshy [7]
The simplified form of this equation is 5^3.
You simplify these types of equations by adding/subtracting the exponents, since there is multiplication/division and the constant is the same throughout.
7 0
3 years ago
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