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IrinaK [193]
4 years ago
14

Help please multiple choice.......

Mathematics
1 answer:
Digiron [165]4 years ago
3 0
If you are trying to eliminate the y, then both of the numbers in front of the y have to be the same, but one needs to be negative and the other positive.

The easiest way to do this is multiply the top equation by 3, so you'd get -6y for the top and you could cancel it out with the +6y on the bottom.

D. Multiply the top equation by 3.
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A pendulum is 18 feet long. It's central angle is 44°. The pendulum makes one back and forth swing every 12 seconds. To the near
Gekata [30.6K]

Answer: it swings 138 feet in 1 minute

Step-by-step explanation:

The back and forth movement of the pendulum represents the length of the arc of the circle.

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = length of pendulum = 18 feet

θ = 44°

Length of arc = distance moved by the pendulum in one direction.

Therefore,

Length of arc = 44/360 × 2 × 3.14 × 18

Length of arc = 13.816 feet

The pendulum makes one back and forth swing every 12 seconds. It means that the distance it covers in one back and forth movement is

13.816 × 2 = 27.632 feet

If the pendulum swings 27.632 feet in 12 seconds, then

In 60 seconds(1 minute), the distance covered would be

(60 × 27.632)/12 = 138 feet

7 0
3 years ago
Giving away some points:) your welcome
Delicious77 [7]

Answer: hey thanks

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
When I pour my coffee it is 185 degrees Fahrenheit. As it sits on my desk it loses temperature at a rate of 3 degrees per minute
astraxan [27]

Answer:

I believe it's 185-3x I hope I'm right, sorry if I'm not

Step-by-step explanation:

8 0
3 years ago
In a designated VIP seating section there must be an odd number of seats in each row and each row must have two more seats than
Vikki [24]

Let n be the total number of rows and there are x seats is the 1st row where x is an odd natural number.

As each row must have 2 more seats than the one before it, so

Number of seats in 2nd row = x+2

Number of seats in 3rd row = x+2+2=x+2x2

Number of seats in 4th row = x+2+2+=x+2x3

Similarly, the number of seats in (n-1)th row =x+2x(n-1)

the number of seats in n^{th} row, i.e last row  =x+2x n.

As the front row must have one-quarter of the total seats in the back 2 rows combined, so

x =\frac 1 4 ( x+2\times(n-1) + x+2\times n) \\\\\Rightarrow 4x=2x+4n-6 \\\\\Rightarrow 4x-2x=4n-6 \\\\\Rightarrow 2x=4n-6 \\\\\Rightarrow x=2n-3\cdots(i)

So, the number of seats in the 1st row, x, and the total number of seats, n, must satisfy the equation (i).

For x>0, n\geq 3.

So, for n=3 rows

The number of seats in the 1st row, x= 2x3-3=3.

The number of seats in the 2nd row, = 3+2=5 as in subsequent rows, there will be 2 more seats.

and the number of seats in the 3rd row (last row)=5+2=7.

n can have any integral values satisfying  n\geq 3.

3 0
3 years ago
1. Simplify the expression: <img src="https://tex.z-dn.net/?f=%282x%5E%7B2%7D%20y%29x%5E%7B3%7D" id="TexFormula1" title="(2x^{2}
liubo4ka [24]

Answer:

2·x^5·y

Step-by-step explanation:

2x^5y

4 0
3 years ago
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