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dexar [7]
3 years ago
6

Find the 15th term of the arithmetic sequence.

Mathematics
2 answers:
krek1111 [17]3 years ago
7 0
 The answer is
 c. 15a + 1
Aneli [31]3 years ago
5 0
It's all about matching patterns.

The coefficient of "a" in the given sequence is the term number (1, 2, 3, ...) and the constant remains constant at 1. Thus the 15th term can be expected to be ...
  c. 15a + 1
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A rocket is launched straight up from the ground with an initial velocity of 192 feet per second. The equation for the height of
Ivenika [448]

The equation for the height of the rocket at time t given

h= -16t^2+192t

We have to find the time t, when the rocket reaches 560 feet.

That means we have to find t when h = 560 ft. we will place 560 in the place of h to find t now.

h= -16t^2+192t

560 = -16t^2+192t

In the right side, we can check -16 is the common factor. So we will take out -16 from the rigbht side.

560 = -16(t^2 - 12t)

To get rid of -16 from the right side and move it to left side, we will divide both sides by -16.

560/-16 = -16(t^2-12t)/-16

-35 = t^2 -12t

Now we will move -35 to the righ side by adding 35 to both sides.

-35+35 = t^2-12t+35

0 = t^2 -12t+35

t^2-12t+35 = 0

We will factorize thee left side to find the values of t now. We need to find a pair of factors of 35 that by adding them we will get -12.

The pair of factors of 35 are -5 and -7 and by adding -5-7 we will get -12.

t^2-12t+35 =0

(t-5)(t-7) =0

So by using zero product property we will get

t-5 =0

t-5+5 = 0+5

t=5

Also t-7 =0

t-7+7 = 0+7

t=7

So we have got the rocket reaches at 560ft when t = 5 seconds and also when t = 7 seconds.

Now part b.

When the rocket completes its trajectory and hits the ground then the height or h = 0. So we will place h = 0 there in the equation.

h= -16t^2+192t

0= -16t^2 + 192 t

0 = -16(t^2-12t)

-16(t^2-12t) = 0

We will move -16 to the other side by dividing it to both sides.

-16(t^2-12t)/-16 = 0/-16

t^2-12t = 0

We will take out the common factor t from the left side. By taking out t we will get,

t(t-12) = 0

We will use zero product property now. By using that we will get,

t = 0

ans also t-12 = 0

t-12+12 = 0+12

t = 12

When the rocket completes its trajectory and hits the ground the time t can not be 0. When t =0, the rocket starts the trajectory.

So when the rocket completes its trajectory and hits the ground ,

then t = 12seconds.

So we have got the required answers.

6 0
3 years ago
Explain in your own words what a dilation is.
Delicious77 [7]

Answer:

Dilation is the action of becoming or being made wider, larger, or more open.

hope this helps:)

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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5.50 and
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2x-y=-2 <br><br> -x-2y=4 <br><br> estimate the coordinates
ValentinkaMS [17]
You can subtract the 2x to make it -y=-2x-2 and add the x to make it -2y=x+4. for elimination method multiply the equation (-2)-y=-2x-2. Hope this helps. You can also do substitution method
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