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dexar [7]
2 years ago
9

Write the equation in standard form for the circle passing through (7, 1) centered at the origin

Mathematics
1 answer:
Alenkinab [10]2 years ago
4 0

Step-by-step explanation:

the standard form of a circle equation is

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle, and r is the radius.

since the center of this circle is the origin (0, 0), we have the simplified version

x² + y² = r²

to get r² we simply use the given point

7² + 1² = r²

49 + 1 = r²

r² = 50

our equation in standard form is therefore

x² + y² = 50

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The length of the red line segment is 8 and the length of the blue line segment is 4. How long is the major axis of the eclipse?
liraira [26]

The major axis of the eclipse is 12 units long

The given parameters can be represented as:

Red = 8

Blue = 4

See attachment for illustration

To solve this question, we make use of the following theorem

The distance between a point and the foci sums up to the major axis

This translates to:

Major\ axis = Red + Blue

Major\ axis = 8 + 4

Major\ axis = 12

7 0
3 years ago
Se tiene la sucesión 3, 8, 13, 18, 23 … ¿Cuáles son los siguientes dos términos y cuál es la regla general?
V125BC [204]

Respuesta:

28; 33

A (n) = 5n - 2

Explicación paso a paso:

A partir de los datos dados, 3, 8, 13, 18, 23…, podemos ver que cada valor sucesivo de la serie aumenta en 5;

Por lo tanto, los siguientes dos términos de la serie deberían ser:

23 + 5 = 28

28 + 5 = 33

La serie es una progresión aritmética:

Recuerde la fórmula general:

A (norte) = a + (norte - 1) d

Donde, a = Primer término = 3; d = diferencia común = 5

n = enésimo término

A (n) = 3 + (n-1) 5

A (n) = 3 + 5n - 5

A (n) = 5n - 2

6 0
3 years ago
Philip is making a poster that is 36 by 24 inches. He cuts a 5 x 12 rectangle in the poster. How much of the poster remains uncu
Vika [28.1K]
36 x 24=864 whole poster
5 x 12=60 cut part
864 - 60= 804 part that remains
;)
6 0
3 years ago
Find the rule, and type the missing number in the sequence.<br><br> 96, 192, ____, 384
Wittaler [7]

Answer:

Missing number is 288, and the rule is +96

Step-by-step explanation:

First subtract 96 from 192, which is 96

then add that to 192 and the missing value is 288

you should also add 96 to 288 just to make sure it gets you to the last number which is 384.

5 0
2 years ago
A phone company has a monthly data plan where a customer pays flat monthly fee of $ 15 and then a certain amount of money per gi
ololo11 [35]

Answer:

Step-by-step explanation:

let x represent the number of MB used in a month.

Let y represent the monthly cost of using x MB.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (36 - 24)/(7 - 3)

m = 12/4 = $3

We would represent the linear equation in the slope - intercept form which is expressed as

y = mx + c

Where

c = y intercept

m = slope

At the y intercept, x = 0. Therefore, the y intercept is the flat monthly fee of $15. It is charged whether MB is used or not. Therefore, the linear equation is

y = 3x + 15

Or

C(x) = 3x + 15

3 0
3 years ago
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