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marta [7]
2 years ago
10

Draw and label the final image of △ABC after the given sequence of transformations. Reflect △ABC over the y−axis and then transl

ate by (2, −2).
A
B
C
D

Mathematics
1 answer:
arlik [135]2 years ago
8 0

Answer: The correct option is A.

Explanation:

From the given figure it is noticed that each box in the graph represents the length of 2 units. The coordinates of point A,B and C are (-1,1),(-3,3) and  (-2,4) respectively.

If a point reflects over the y-axis then,

(x,y)\rightarrow(-x,y)

So after reflecting coordinates of point C become,

(-2,4)\rightarrow(2,4)

If a point translated by (a,b), then

(x,y)\rightarrow(x+a,y+b)

So, after reflection over y-axis followed by translation by (2,-2), the coordinate of C are,

(2,4)\rightarrow(2+2,4-2)\\(2,4)\rightarrow(4,2)

Similarly the image of point A and B are (3,-1) and (5,1) respectively.

The image of C after reflection over y-axis followed by translation by (2,-2) is (4,2), which is shown in only graph A, Therefore A is the correct option.

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Profit =Money left after supplies

\\ \sf\longmapsto Profit=300-50

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A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme
Andrews [41]

The inequality to represent the temperatures at which the gas in the truck will remain in liquid form is -40 < x < 140

<h3>Part A: The inequality</h3>

Let the temperature of the gas be represented with x.

When the temperature hits −40° F (or below), the gas freezes.

This means that the gas temperature must always exceed −40° F to remain being a liquid

i.e x > −40

Also, when the temperature hits 140° F (or above), the gas evaporates.

This means that the gas temperature must always be less than 140° F to remain being a liquid

i.e x < 140

So, we have:

x > −40 and x < 140

Rewrite as:

-40 < x and x < 140

Combine both inequalities

-40 < x < 140

Hence, the inequality to represent the temperatures at which the gas in the truck will remain in liquid form is -40 < x < 140

<h3>Part B: The description of the graph</h3>

In (a), we have:

-40 < x < 140

The end points of the inequalities use a less than sign.

Less than signs are represented by open circle.

Hence, the graph would use an open circle, and intervals between -40 and 140 would be shaded

<h3>Part C: Would −49° F gas remained in liquid form?</h3>

We have:

-40 < x < 140

The number -49 is not in the range -40 < x < 140

Hence, the gas would not remain in liquid form (in fact, it would freeze because it is less than -40)

Read more about inequalities at:

brainly.com/question/24372553

#SPJ1

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Can someone literally cash app me a dollar at $AlphaDawggg it will really make my day
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Answer:

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5 0
2 years ago
What is -5/6 + -5/6? (its ment to be a fraction)
maks197457 [2]
The answer is:  " -5/3 " ;  or, write as:  " -1 ⅔ " .
_____________________________________________
Explanation:
_____________________________________________

   (-5/6) + (-5/6) = (-5/6) <span>− (5/6) ;  

------>  {since: "adding a negative" is the same a "subtracting a positive"} ; 

------> </span> (-5/6) − (5/6) = (-5 − 5) / 6  ;
  
                                  =   -10/6 =  (-10/2) / (6/2) ;
_____________________________________________________
                                  =   " -5/3 " ;  or, write as:  " -1 ⅔ " .
_____________________________________________________
8 0
3 years ago
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