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ira [324]
2 years ago
9

The vertices of ΔABC are (-2,0), (-2, 3), and (-5, 1). T(x,y) = (x + 1, 3y) represents the transformation of the triangle. What

are the coordinates of the vertices for ΔA'B'C'? Are the pre-image and image congruent? Justify your answer.
Mathematics
1 answer:
Gnoma [55]2 years ago
8 0

using the equation for the transformation:

(x+1, 3y)

 add 1 to very X and multiply y by 3

 so (-2,0) becomes (-1,0)

(-2,3) becomes (-1,9)

(-5,1) becomes (-4,3)

new coordinates are (-1,0) (-1,9) (-4,3)


you don't have an image attached, so to see if they are congruent, the sides need to stay the same lengths and the angles need to stay the same, from the coordinates of the new triangle, I would say they are not congruent

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if the arc length of a sector in the unit circle is 3 radians, what is the measure of the angle of the sector?
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3 0
3 years ago
The answer to all 11.
madam [21]

Answer:

The rate of the current is 2 miles per hour.

Step-by-step explanation:

Let us assume that the rate of the river is v miles per hour.

The speed of the boat is 12 miles per hour.

Let us assume also that the boat can go 21 miles in t hours in the downstream and 15 miles upstream at the same time i.e. t hours.

So, from the condition given we can write that  

12 + v = \frac{21}{t} ......... (1), and  

12-v =\frac{15}{t} ......... (2)

Now, adding those two equations we get  

24 = \frac{21}{t} +\frac{15}{t} = \frac{36}{t}

⇒ t = \frac{3}{2} hours

Now, from equation (1), we get,  

12 + v = \frac{21}{\frac{3}{2} } =14

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8 0
3 years ago
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telo118 [61]

Answer:

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Step-by-step explanation:

6 0
2 years ago
seeped of boad in standing water is 9 kmph and the seeped of the steam is 1.5 kmph a man rows to a plance at a distance of 105 k
Juliette [100K]

Correct question is;

Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:

Answer:

Total time = 24 hours

Step-by-step explanation:

We are given;

Speed of a boat in standing water = 9 kmph

Speed of the stream = 1.5 kmph

Distance rowed by the man; d = 105 km

He now came back to his starting point.

Thus, we can say that;

Speed upstream; V_up = 9 - 1.5 = 7.5 kmph

Speed downstream; V_down = 9 + 1.5 = 10.5 kmph

Now, we know that;

time = distance/speed

Thus;

Total time = time taken upstream + time taken downstrem

Total time = (105/7.5) + (105/10.5)

Total time = 14 + 10

Total time = 24 hours

6 0
2 years ago
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3 years ago
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