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irga5000 [103]
3 years ago
13

Reflect the image over the y-axis and then translate 8 units down. What are the coordinates for C’?

Mathematics
1 answer:
irakobra [83]3 years ago
3 0

Answer:

(-7, -7)

Step-by-step explanation:

1. Let's ONLY focus on point C.

2. The algebraic rule for reflecting across the y-axis is (x, y) -> (-x, y).

  • Since point C is on the coordinate (7,1), when reflecting it across the y-axis, it's going to turn into (-7,1).

3. The algebraic rule for translating 8 units down is (x, y) -> (x, y - 8).

  • Since C is on (-7,1), when we translate it 8 units down, we'll get C' as (-7, -7)

Therefore, the coordinates for C' are (-7, -7).

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the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer
Alinara [238K]

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = vi t + \frac{1}{2} at^{2}

d = distance      vi = initial velocity (m/s)    

t = time (s)     a = acceleration (m/s^{2})

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/s^{2} since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + \frac{1}{2} (9.81m/s^{2})(t)

220.98m = (4.905m/s^{2})(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

7 0
2 years ago
Lily plants 2 red rosebushes, 8 pink rosebushes, and 6 yellow rosebushes. What is the ratio of pink and red
andrey2020 [161]

Answer:

C. 10 : 16

Step-by-step explanation:

Attached below

4 0
3 years ago
What does rigid mean? (geometry wise)
Ivan

Answer:

A shape that can be pushed to make a different shape

Step-by-step explanation:

4 0
2 years ago
the sum of three integers is 92. the second number is three times the first number. the third number is ten less than twice the
Elanso [62]

1st number = x

 2nd number = 3x

3rd number = 2x-10

x +3x + 2x-10 =92

6x - 10 = 92

6x =102

x = 102/6

x = 17

1st number = 17

2nd number = 17*3 = 51

 3rd number = 17 *2 = 34-10 = 24

17 + 51 + 24 = 92

 3 numbers are 17, 51 and 24

8 0
3 years ago
Factor x^2+6x-16 into the form (x+a)(x-b), what is a and b?
vfiekz [6]

Answer:

a=-8 b=2

Step-by-step explanation:

x^2+6x-16

x^2+(8-2)x-16=0

x^2+8x-2x-16=0

X(X+8)-2(X+8)=0

(X+8)(x-2)=0

Compare with (X+a)(X+b)

Where we get a=-8 b=2

8 0
2 years ago
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