We must apply the transformation rules (x, y) → (- x, y) and (x, y) → (x + 1, y + 1) to generate the vertices B''(x, y) = (4, 1), C''(x, y) = (- 1, 0), D''(x, y) = (2, 3). (Right choice: B)

<h3>How to determine the right transformation rules for a set of three points</h3>

In this question we have three points on a Cartesian plane: B(x, y) = (- 3, 0), C(x, y) = (2, - 1), D(x, y) = (- 1, 2). First, we proceed to apply the transformation rule (x, y) → (- x, y):

B'(x, y) = (3, 0), C'(x, y) = (- 2, -1), D'(x, y) = (1, 2)

Then, we use the transformation rule (x, y) → (x + 1, y + 1):

B''(x, y) = (4, 1), C''(x, y) = (- 1, 0), D''(x, y) = (2, 3)

Then, we must apply the transformation rules (x, y) → (- x, y) and (x, y) → (x + 1, y + 1) to generate the vertices B''(x, y) = (4, 1), C''(x, y) = (- 1, 0), D''(x, y) = (2, 3).

To learn more on transformation rules: brainly.com/question/9201867

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7 0

2 years ago

General admission to The American Museum of Natural History is $19.

Reil [10]

Answer:

(a) $2,375.

(b) $2,875.

Step-by-step explanation:

We have been general admission to The American Museum of Natural History is $19.

(a). To find the total cost of tickets for a group of 125 students, we will multiply 125 by $19.

$\text{The total cost of tickets}=\$19\times 125$

$\text{The total cost of tickets}=\$2,375$

Therefore, the total cost of 125 tickets would be $2,375.

(b). We have been given that the group also purchases IMAX movie tickets for an additional $4 per student.

The total cost of one ticket would be the cost of museum ticket plus movie ticket that is $\$19+\$4=\$23$ .

The new total cost of 125 tickets would be 125 times $23.

$\text{The new total cost of tickets}=\$23\times 125$

$\text{The new total cost of tickets}=\$2,875$

Therefore, the new total cost of 125 tickets would be $2,875.

8 0

3 years ago

Solve 3-2cos²x-3sinx=0 for 0≤x≤360

crimeas [40]

3-2(Cosx)^2 - 3Sinx = 0.

Recall (Sinx)^2 + (Cosx)^2 = 1.
Therefore (Cosx)^2 = 1 - (Sinx)^2
Substitute this into the question above.

3-2(Cosx)^2 - 3Sinx = 0
3 - 2(1 - (Sinx)^2) - 3Sinx = 0 Expand
3 - 2 + 2(Sinx)^2 - 3Sinx = 0
1 + 2(Sinx)^2 - 3Sinx = 0 Rearrange
2(Sinx)^2 - 3Sinx + 1 = 0
Let p = Sinx
2p^2 - 3p + 1 = 0 Factorise the quadratic expression
2p^2 - p - 2p +1 = 0
p(2p -1) - 1(2p -1) = 0
(2p-1)(p -1) = 0

Therefore 2p-1=0 or (p-1) = 0
2p=0+1 or (p-1) = 0
2p=1 or p = 0 +1.
p=1/2 or p = 1 Recall p = Sinx

Therefore Sinx = 1/2 or 1.
For 0<x<360

Sinx =1/2, x = Sin inverse (1/2) , x = 30,
 (180-30)- 2nd Quadrant = 150 deg
Sinx = 1, x = Sin inverse (1) , x = 90

Therefore x = 30,90 & 150 degrees.

Cheers.

7 0

3 years ago

Help asap Please Urgent!!!!

vlabodo [156]

There are 14 times in the table. Add up all 14 times, and divide the sum by 14. The result is the "mean 100-meter sprint time," assuming that you've rounded this off to the nearest tenth of a second.

3 0

3 years ago

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