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jekas [21]
3 years ago
9

The pentagon PQRST is transformed into P'Q'R'S'T' using which two transformations?

Mathematics
2 answers:
Alik [6]3 years ago
7 0
The orientation has changed, so a reflection is involved. Point Q is at the top, but Q' is at the bottom, so it is a reflection across the x-axis. All points are translated 3 to the left, so that leaves the options as ...
  translation 3 units to left and 3 units down
  reflection across the x-axis


_____
The transformations were done in the order listed.
Taya2010 [7]3 years ago
7 0

Answer:

B) translation 3 units to left and 3 units down

D) reflection across the x-axis

Step-by-step explanation:

The pentagon PQRST is up with respect to point Q, and P'Q'R'S'T' is down with respect to point Q'.

So it is reflection about x-axis.

All points are translated 3 to the left and 3 units down.

Therefore, answer is

B) translation 3 units to left and 3 units down

and

D) reflection across the x-axis

Hope this will helpful.

Thank you.

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A student in wildlife management studied trout habitat in the upper Shavers Fork watershed in West Virginia. The springtime wate
nataly862011 [7]

Answer:

C. H 0 : μ = 7 vs. Ha : μ ≠ 7

Since the calculated value of t = -9.462 falls in the critical region  t ≤-2.048

We conclude that the  springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.

Step-by-step explanation:

The null hypothesis the usually the test to be performed. Here we want to check whether the water is neutral or not. Neutral water must have a pH of 7 . This can be stated as the null hypothesis. And the claim is treated as the alternate hypothesis that water in not neutral or not having pH= 7

In symbols it will be written as

H0: : μ = 7 vs. Ha : μ ≠ 7

So choice C is the best option for this hypothesis testing.

Let the significance level be 0.05

The degrees of freedom = n-1= 29-1 = 28

The critical value is  t ≥ 2.048 and t ≤ - 2.048 for 0.05 two tailed test with 28 df.

The test statistic to use is t- test

t= x- u/ s/√n

The total sum is 170.9 and mean = x= 5.893

The u = 7

And the sample standard deviation is =s= 0.63

Putting the values

t= 5.893-7/0.63/√29

t= - 1.107/0.11699

t= -9.4623

Since the calculated value of t = -9.462 falls in the critical region  t ≤-2.048

We conclude that the  springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.

4 0
3 years ago
Point M is on line segment overline LN . Given MN = 3x , LN = 4x + 9 , and LM = 2x + 7 determine the numerical length of LM .
xxTIMURxx [149]

Answer: 11

Step-by-step explanation:just trust me

7 0
3 years ago
2x+3y=-12<br> 2x+t=-16<br> X=. Y=<br> Help plz
8090 [49]

<u>To make this problem solvable, I have replaced the 't' in the second equation for a 'y'.</u>

Answer:

<em>x = -9</em>

<em>y = 2</em>

Step-by-step explanation:

<u>Solve the system:</u>

2x + 3y = -12       [1]

2x + y = -16       [2]

Subtracting [1] and [2]:

3y - y = -12 + 16

2y = 4

y = 4/2 = 2

From [1]:

2x + 3(2) = -12

2x + 6 = -12

2x = -18

x = -18/2 = -9

Solution:

x = -9

y = 2

8 0
3 years ago
Is -x+4y=-2 a direct variation?
In-s [12.5K]

Answer:

No

Step-by-step explanation:

Direct variation: two variables, one variable is a constant multiple of another variable

y = k x  .... k constant

-x+4y=-2

4y = x - 2

y = 1/4 x -1/2  ..... y = k x + b    y is not a simple multiple of x

6 0
3 years ago
Question:
allochka39001 [22]

Answer:

It is A

Step-by-step explanation:

I cant explain step by step I am in a rush but it is A

3 0
3 years ago
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