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Nina [5.8K]
3 years ago
9

In a translation, the line segments that connect each point on the preimage to the corresponding point on the image are not only

congruent but also __________.
A.
perpendicular
B.
intersecting
C.
rotated
D.
parallel
Mathematics
2 answers:
Marianna [84]3 years ago
7 0
Translation doesn't change the shape, size, or orientation of anything.
It just moves things around.

So the line segments in the image are not only congruent to the ones
in the original figure.  They're also parallel.
iogann1982 [59]3 years ago
4 0

Answer:D. Parallel

Step-by-step explanation:

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What is the solution of the system? y=x^2 + 6x + 9
Katyanochek1 [597]

Because we have two values of x, we can set the two expressions equal to each-other.

x^2 + 6x + 9 = x + 3

Subtract x and 3 from both sides.

x^2 + 5x + 6 = 0

Now that we have all terms on one side, we can find the values of x.

Using the AC method, we can simplify this equation to (x + 2)(x + 3)

The solutions to the system of equations presented are:

<h3>x = -2, x = -3.</h3>
5 0
3 years ago
I need help please!!
lana66690 [7]

Answer:

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3 0
3 years ago
Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make indepe
Maurinko [17]

Answer:

Mean = 20

Variance = 16

Step-by-step explanation:

Solution:-

- Let X be the number of customers paying with a debit card.  X has the binomial distribution with n = 100 trials and success probability p = 0.2  

- In general, if X has the binomial distribution with (n) trials and a success probability of (p) then:

                 P[X = x] = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)

                 for values of x = 0, 1, 2, ..., n  

                 P[X = x] = 0 for any other value of x.

- The probability mass function is derived by looking at the number of combination of x objects chosen from n objects and then a total of x success and n - x failures.  

- Or, in other words, the binomial is the sum of n independent and identically distributed Bernoulli trials.

                  X ~ Binomial( n = 100 , p = 0.2 )

- The mean of the binomial distribution is n * p = 20  

- The variance of the binomial distribution is n * p * (1 - p) = 16  

7 0
3 years ago
Solve the equation.<br><br> 5d = 17.1<br><br><br> 12.1<br><br> 22.1<br><br> 85.5<br><br> 3.42
Rudiy27

Hello there!


5d = 17.1

The equation is asking you to find the value for "d". How to do that? Well, all you have to do is divide both side by 5.

5d/5 = 17.1

d = 3.42  

That's your answer!


You can even double check your work, if you want to. How? Well, you just need to replace 3.42 where it belongs.

5(3.42) = 17.1

17.1 = 17.1

True!


Let me know if you have additional questions. As always, it is my pleasure to help students like you!

7 0
2 years ago
Read 2 more answers
Simplify the expression c^-6 * d^4/ c^-16 * d^14​
Naily [24]

Answer:

\dfrac{c^{10}}{d^{10}}

Step-by-step explanation:

Although the way you wrote problem, this is not what it looks like, I think this is what you meant.

\dfrac{c^{-6} \times d^{4}}{c^{-16} \times d^{14}} =

= \dfrac{c^{-6}}{c^{-16}} \times \dfrac{d^{4}}{d^{14}}

= c^{-6 - (-16)} \times d^{4 - 14}

= c^{-6 + 16} \times d^{-10}

= c^{10} \times d^{-10}

= \dfrac{c^{10}}{d^{10}}

7 0
2 years ago
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