PIEVIOUS Select the correct answer from each drop-down menu.
B
De
B
CH
Quadrilateral A'B'C'D'is obtained by a reflection across the y-axis of quadrilateral ABCD, followed by a translation 3 units to the left and 3
units down. Create a function modeling the reflection and the translations.
Rx y = 1
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First drop down selection :
X+3
-x+3
X-3
-x-3
Second drop down selection:
Y+3
-y+3
Y-3
-y-3

9514 1404 393

  f(x, y) = (-x-3, y-3)

Step-by-step explanation:

Reflection across the y-axis is ...

  r(x, y) = (-x, y)

Translation left and down 3 units each is ...

  t(x, y) = (x -3, y -3)

Then the composition of reflection then translation is ...

  f(x, y) = t(r(x,y)) = t(-x, y)

  f(x, y) = (-x-3, y-3)

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west