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3 years ago

Compute 900-841+784+...+36-25+16-9+4-1

Mathematics

1 answer:

lukranit [14]3 years ago

5 0

If I understand your sequence, then this is the "closed form" of the sequence:

a_n = 63 - 4 n

Sum = (59, 55, 51, 47, 43, 39, 35, 31, 27, 23, 19, 15, 11, 7, 3) = 465

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Sarah is creating a triangular birthday card for her teacher. In order to glue lace

Furkat [3]

Answer:

6-12.

Step-by-step explanation:

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3 years ago

Cuánto ganaría un accionista que tiene 100 acciones, si cada acción que él compró aumenta de $20.00 a $30.00

vlada-n [284]

Answer:

$2,000 and $3,000

Step-by-step explanation:

The computation is shown below:

Given that

The Number of shares is 100

The Increase from $20 to $30

If the per share is $20, so the earning of the shareholder is

= 100 shares × $20

= $2,000

And ,if the per share is $30, so the earnings of the shareholder is

= 100 shares × $30

= $3,000

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3 years ago

What is the perimeter of the larger triangle?

Dmitriy789 [7]

42 ft

Source(s):

Dude trust me

4 0

3 years ago

What us the equation of the line that has a slope of 0 and passes though the point (4,22)

Brums [2.3K]

Point-slope form: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

Data:
(4,22)
m=0

y-22=0(x-4)
y-22=0
y=22 (slope intercept form)

Answer: the line will be: y=22

7 0

4 years ago

The focus of a parabola is (0, - 2) The directrix of the parabola is the line y = - 3 What is the equation of the parabola

777dan777 [17]

Answer:

Option B: $\textbf{y} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{-1}}{\textbf{2}} \textbf{x}^{\textbf{2}} \hspace{1mm} \textbf{-} \hspace{1mm} \frac{\textbf{5}}{\textbf{2}}$

Step-by-step explanation:

When the focus (h, k) of a parabola and the equation of the directrix y = c are given, the equation of the parabola is given by:

$\textbf{(x - h)}^{\textbf{2}} \hspace{1mm} \textbf{+} \hspace{1mm} \textbf{k}^{\textbf{2}} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{c}^{\textbf{2}} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{2(k - c)y}}$

Here, we are given the focus: (h, k) = (0, -2)

Directrix: y = c = -3.

We substitute in the formula to get the equation of the parabola.

$(x - 0)^2 + (-2)^2 - (-3)^2 = 2(-2 - (-3))y$

$\implies x^2 + 4 - 9 = 2(- 2 + 3)y$

$\implies x^2 - 5 = 2(1) y$

$\implies 2y = x^2 - 5$

Dividing by 2, throughout we get:

$\textbf{y} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{-1}}{\textbf{2}} \textbf{x}^{\textbf{2}} \hspace{1mm} \textbf{-} \hspace{1mm} \frac{\textbf{5}}{\textbf{2}}$ which is the required answer.

5 0

3 years ago