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777dan777 [17]
3 years ago
7

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:

8 0
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

5 0
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
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