All categories

3 years ago

What is the reflection image of P(0, 0) after two reflections, first across x = -3 and then across y = 4?

Mathematics

2 answers:

artcher [175]3 years ago

6 0

(-6,-8) i believe but its difficult without a graph in front of me haha

USPshnik [31]3 years ago

4 0

Answer: Hello!

our point is P(0,0) at the beginning, and then we do a reflection across x= -3.

this reflection only affect the x, the initial distance between x and -3 is of 3 units, then when we do the reflection we took this distance and translate it to the other side of the axis -3.

then we go from x = 0, to x= -6, where the distance between - 6 and -3 still is for 3 units, but now for the other side.

When we do the reflection over the axis at y = 4, we think in the same way, the x part remains unchanged, it only affects the y part.

then the distance between y and 4 is for 4 units, then y translates by 4 units to the "other side" of 4, this is 4 + 4 = 8, after the reflection y is equal to 8.

so the point (0,0) is now (-6,8)

is kinda hard to explain this without a drawing, if you have any problem understanding it, please write to me.

You might be interested in

Please solve this. ..

pentagon [3]

Slope = (y2 - y1) / (x2 - x1)
Slope = -26 - (-14) / 8-4
Slope = -12 / 4
Slope = -3

3 0

2 years ago

A pool has 2 pipes, one to fill and one to empty it. Ms.Charles wants to fill the pool, but she mistakenly turns on both pipes a

dolphi86 [110]

-- The filler pipe can fill 1/6 of the pool every hour.

-- The drainer pipe can drain 1/10 of the pool every hour.

-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.

-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties. The difference is (1/6) - (1/10).

To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.

 1/6 = 5/30

 1/10 = 3/30 .

So in every hour, 5/30 of the pool fills, and 3/30 of the pool empties.
The result of both at the same time is that 2/30 = 1/15 fills each hour.

If nobody notices what's going on and closes the drain pipe, it will take
15 hours to fill the pool.

If the drain pipe had not been open, the filler pipe alone could have filled
the pool 2-1/2 times in that same 15 hours. With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted.

I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week. I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.

I hope this did not take place in California.

6 0

3 years ago

Pls answer the question fasttt

timurjin [86]

5 : 25 → (÷5) → 1 : 5

Answer : 1 : 5

3 0

3 years ago

Read 2 more answers

13. Describe the number of solutions for the equation. (1 point)

Anna11 [10]

Answer:

no solution

Step-by-step explanation:

Given

3(x - 3) = 3x , that is

3x - 9 = 3x ( add 9 to both sides )

3x = 3x + 9 ( subtract 3x from both sides )

0 = 9 ← not possible

This indicates the equation has no solution

4 0

3 years ago

Miller's Steakhouse offers 8 side dishes, 5 types of steak, and 4 toppings. How many different smothered steak dinners can be ma

horrorfan [7]

Answer:

1120

Step-by-step explanation:

To find the possible number of steak dinners, you would multiply the number of choices for each part of the dinner. You would used combinations instead of permutations since the order of the toppings chosen or side dishes chosen do not matter. There are 5 choose 1 choices for types of steak, which is just 5. There are 8 choose 3 choices for side dishes, which is 56. There are 4 choose 3 choices for toppings, which is 4. 5*56*4 is 1120, so there are 1120 possible steak dinners.

6 0

3 years ago