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3 years ago

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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Helppppp how do u do this????

otez555 [7]

Lets x to be number of students.

1) If each students get 3 ml, then all students get 3x ml.
There was n ml.
(n-3x) ml leftover

n - 3x = 5

2) If each students get 4 ml.
then all students get 4x ml.

n+21 = 4x

3)
n - 3x = 5
- (n+21 = 4x) -------> -n -21=-4x

n - 3x = 5
-n -21= - 4x
-3x-21=5 - 4x
x=5+21
x=26

Answer : 26 students

Check:
x=26, n-3x = 5, n-3*26=5, n=83
n+21 = 4x
83+21=4*26
104 = 104 true

7 0

3 years ago

Suppose customers in a certain queue are served one at a time sequentially, that the time for each individual customer is Expone

alexandr402 [8]

Answer:

The shape and rate parameters are $\frac{1}{12}$ and $3$ .

Step-by-step explanation:

Let X = service time for each individual.

The average service time is, β = 12 minutes.

The random variable follows an Exponential distribution with parameter, $\lambda=\frac{1}{\beta}=\frac{1}{12}$ .

The service time for the next 3 customers is,

Z = X₁ + X₂ + X₃

All the X $_{i}$ 's are independent Exponential random variable.

The sum of independent Exponential random variables is known as a Gamma or Erlang random variable.

The random variable Z follows a Gamma distribution with parameters (α, n).

The parameters are:

$\alpha =\lambda=\frac{1}{12}\\n=3$

Thus, the shape and rate parameters are $\frac{1}{12}$ and $3$ .

5 0

2 years ago

Please someone help me with question number 2

Maru [420]

Answer:

Step-by-step explanation:

Just make the number of regular gasoline sold to be x, while the number of premium gasoline sold to be (550-x).

That's all.

And goodluck.

3 0

2 years ago

17. Solve the following: x – 3y = 5 5x – 2y = -1

Phantasy [73]

Answer:

(- 1, - 2 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 5 → (1)

5x - 2y = - 1 → (2)

Rearrange (1) expressing x in terms of y by adding 3y to both sides

x = 5 + 3y → (3)

Substitute x = 5 + 3y in (2)

5(5 + 3y) - 2y = - 1 ← distribute left side

25 + 15y - 2y = - 1

25 + 13y = - 1 ( subtract 25 from both sides )

13y = - 26 ( divide both sides by 13 )

y = - 2

Substitute y = - 2 in (3) for corresponding value of x

x = 5 + (3 × - 2) = 5 - 6 = - 1

Solution is (- 1, - 2 )

8 0

2 years ago

Bryce has heard that gas appliances are cheaper to use and can lower utility costs. He is interested in purchasing a new gas sto

Bond [772]

Answer:

C. $29.20

Step-by-step explanation:

The difference between using an electric stove and a gas stove everyday is 13 cents - 5 cents= 8 cents.

Saving 8 cents everyday.

Therefore for a year, Bryce will save 8 cents × 365days = 2920 cents

Then 2920 cents = $(2920÷100)

=$29.20

4 0

3 years ago