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Liula [17]
3 years ago
6

Find the next item in the sequence. 15, 30, 45, 60, ...

Mathematics
2 answers:
Arturiano [62]3 years ago
7 0

Answer:

75

Step-by-step explanation:

15,30,45,60,....

We are adding 15 each time

30-15 =15

45-30 =15

60-45= 15

The next term is 60+15 = 75

amid [387]3 years ago
4 0

The rate of change is 15. We know this because 30 - 15 = 15, 45 - 30 = 15, and 60 - 45 = 15.

The next item in the sequence would be 75, since 60 + 15 = 75.

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The general form of a circle is given as x^2+y^2+4x - 12y + 4 = 0. A) What are the coordinates of the center of the circle? B) W
Alex_Xolod [135]

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

x^2+y^2+4x-12y+4=0

Collect like terms and subtract 4 from both sides:

\implies x^2+4x+y^2-12y=-4

Complete the square for both variables by adding the square of half of the coefficient of x and y to both sides:

\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2

\implies x^2+4x+4+y^2-12y+36=-4+4+36

Factor both variables:

\implies (x+2)^2+(y-6)^2=36

Therefore:

  • center = (-2, 6)
  • radius = √36 = 6
7 0
2 years ago
Question 1
ludmilkaskok [199]

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Step-by-step explanation:

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3 years ago
A museum has 450 visitors each day. If they are open 5 hours, how many people do they see per hour?
il63 [147K]

Answer: 90 visitors per hour

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To find out what goes in the bank, notice that we

have a 1 in the denominator of our second fraction.

So we want to find a fraction that is equivalent

to 450/5 that has a 1 in the denominator.

If we divide the numerator and denominator of 450/5 by 5,

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So now we have <em>90 visitors/1 hour = __visitors/1 hour</em>.

So a 90 must go in the blank.

This means that the museum sees 90 visitors per hour.

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Answer:

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