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qwelly [4]
1 year ago
10

What is the coordinate of A after a reflection across the given line?

Mathematics
1 answer:
olga2289 [7]1 year ago
6 0

Answer:

(-3, 3)

Step-by-step explanation:

The equation of line AB is

y=-\frac{1}{3}x+2

Since the y-intercept of the given line is (0,2), the line AB and the given line intersect at (0,2).

By definition, (0,2) is the midpoint of AA', where A' is the image of A after the reflection.

So, the coordinates of A' are (-3, 3)

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A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she
marta [7]

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.

​How much water, in milliliters, does the student have left in the bottle?

Answer:

the amount of water the student have left in the bottle is 250 milliliters

Step-by-step explanation:

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.

​How much water, in milliliters, does the student have left in the bottle?

Before the soccer practice, she drank 25 % of the water

25% of the water = 25% of 500

                             = 25% × 500

                              =\frac{25}{100} ×  500

At the right hand-side of the equation, the two zeros will cancel-out the other two zeros, hence;

                                = 25 × 5

                                 =125

25% of the water = 125 milliliters

From the question, it was said that drank 25% of the water before soccer, this implies that she drank 125 milliliters from the water bottles.

If she drank 125 milliliters of  from a 500 milliliters water contain in the water bottle, then the amount of water left will be 500 ml - 125 ml = 375 ml

This implies that before the soccer practice she had 375 milliliters of water left in the water bottle.

After the practice, she drank 1/3 of the remaining water, which means after the practice she drank 1/3 of 375

1/3 of 375 = \frac{1}{3} × 375 = \frac{375}{3} = 125

After the practice she drank 125 milliliters of water from her 375 milliliters water.

The amount of water she have left after the practice will be;

375 milliliters - 125 milliliters = 250 milliliters

Therefore, the amount of water the student have left in the bottle is 250 milliliters

8 0
3 years ago
Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week
Vilka [71]
The answer is 128 i hope that helps
8 0
3 years ago
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Marshall está recolectando leche de las granjas lecheras que se tomará y se convertirá en queso. En un mapa, la distancia de una
exis [7]
I don’t know my bad lol
4 0
1 year ago
Jacob drove 8 miles east and then 15 miles north. how far is he from his starting point
Ilya [14]

Answer:

he is 23 miles northeast from this starting spot

Step-by-step explanation:

ok so you start with the directions and notice they are different but this equation worked in our favor because the directions are north and east then all you do is add 8 + 15 and you get 23 so its 23 miles northeast from starting position

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2 years ago
3 expressions that are equivalent to 9^4
Katyanochek1 [597]

Answer:

Step-by-step explanation:

hello :

9^4 = (3^2)^4

9^4 =3^8

9^4 =(3^4)^2 = 81^2

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3 years ago
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