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Luden [163]
3 years ago
15

Factor x + x²y + x³y² and 10ℎ³????³ – 2h????² + 14hn

Mathematics
1 answer:
xenn [34]3 years ago
8 0
What is the question marks for?

The First One Answer is

x•(1+xy+x^2y)
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Which of the following ratios has the same ratio value as 4:6?
Strike441 [17]

Answer:

6:9

Step-by-step explanation:

the answer is 6:9 because 4:6' equivalent is 2:3, which is the same as 6:9

8 0
3 years ago
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
Determine the constant that must be added to the given expression to complete the square and express the resulting trinomial as
erma4kov [3.2K]
Constant:9
Expression: (x-3)^2
8 0
3 years ago
How can Diego package all the 64 cookies so that each bag has the same number of them? How many bags can we make and how many co
anygoal [31]

Answer:

  see below

Step-by-step explanation:

There are 7 divisors of 64. Each represents a possible number of bags of cookies:

  • 1 bag of 64 cookies
  • 2 bags of 32 cookies
  • 4 bags of 16 cookies
  • 8 bags of 8 cookies
  • 16 bags of 4 cookies
  • 32 bags of 2 cookies
  • 64 bags of 1 cookie
5 0
3 years ago
What is the result of multiplying the first equation by −3 and adding to the second equation?
Alla [95]

Answer:

The answer is a _10×+8y=15

4 0
3 years ago
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