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N76 [4]
3 years ago
13

Anybody know the right answer?

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0
Y = -1 is a horizontal line going through "-1" on the y axis

Note that the point (1,2) is exactly 3 units of distance above the line y = -1

When we reflect across this line, the point (1,2) will just move straight down to exactly 3 units of space below the line y = -1.  Since we are not shifting left or right, the x coordinate of our original point will not change.  The y coordinate of our original point will now need to be reduced by 6(3 units down to get to the line of reflection and then 3 more down to get to the image location)   

The coordinates of the image point will be (1, -4)
Now we need to do the same process with (1, -4) being reflected across y=1

Note (1,-4) is 5 units of distance below the line y = 1 , so we need to reflect the point upward so that the image point is located exactly 5 units of distance above the line y = 1  Again, the x coordinate does not change, and our final image coordinates are (1, 6)

I guess more simply stated, if you're just looking for the number in the green box it would be " 1 " .. Reflecting points across horizontal lines only result in changes of the "y" coordinate since there is no shift left or right.
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You are arguing over a cell phone while trailing an unmarked police car by 25 m; both your car and the police car are traveling
BARSIC [14]

Answer:

  (a) 15 m

  (b) ground speed: 26.14 m/s (94.1 km/h); relative speed 12 m/s

Step-by-step explanation:

We can choose the frame of reference to be the trailing car. We can start counting time from the point the lead car begins deceleration. Then its position (in meters) relative to the trailing car is ...

  d(t) = 25 - 5/2t² . . . . . . where 25 m is the initial distance and -5 is the acceleration in m/s².

(a) Then the distance between cars at t=2 is ...

  d(2) = 25 - (5/2)·4 = 15 . . . . meters

__

(b) The <em>relative velocity</em> at 2.4 seconds is ...

  d'(t) = -5t

  d'(2.4) = -5(2.4) = -12.0 . . . m/s

The closure speed with the police car is 12 m/s.

__

We need to do a little more work to find the ground speed of the trailing car when the cars bump.

The distance between the cars at t=2.4 seconds is ...

  d(2.4) = 25 -(5/2)2.4² = 10.6 . . . . meters

At the closure speed of 12 m/s, it will take an additional ...

  10.6 m/(12 m/s) = 0.8833... s = 53/60 s

to close the gap. The speed of the trailing car at that point in time will be the original speed less the deceleration for 0.8833 seconds:

  (110 km/h)·(1/3.6 (m/s)/(km/h))-(5 m/s²)(53/60 s)

     = 26 5/36 m/s = 94.1 km/h

_____

<em>Comment on following distance</em>

To avoid collision, the trailing car must be trailing by at least the distance it covers in 2.4 seconds, about 73 1/3 meters.

6 0
3 years ago
In some languages, every consonant must be followed by a vowel. How many seven-letter ‟words” can be made from the Hawaiian word
emmasim [6.3K]

Answer:

One. Kamala.

Step-by-step explanation:

7 0
2 years ago
The actual distance between parks is 24 miles On a map these parks are 8 inches apart How many miles are equal to one inch on th
vaieri [72.5K]

Each inch in the map is equivalent to 8 miles.

Explanation:

There is a distance of 24 miles between two parks. This 24 miles is represented by an 8-inch gap in the map.

So 8 inches on that particular map = 24 miles in real life.

To find the distance that an inch on the map represents we must divide both sides of the above equation. Since we need to calculate how much distance 1 inch represents we divide both the sides by 8 so that 8 inches on the map changes into 1 inch.

\frac{8}{8} inches on the map = \frac{24}{8} miles between the two parks in real life,

1 inch on that particular map = 3 miles in real life.

So each inch on the given map is equal to 8 miles in real life.

5 0
3 years ago
Graph y = f(x) = 3(2)x. Adjust the equation to make the y-intercept (0, −3). Which response is not correct?
Sauron [17]

Answer:

Replace x with −x.

f(x) = 3(2)−x is not correct because the y-intercept is (0, 3).

the answer is B

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which is longer 6ft or 7 in?
AveGali [126]
Hello!

1 foot = 12 inches

12 × 6 = 72
_____________________________

ANSWER:

Since there are 72 inches in 6 feet, 6 feet are greater than 7 inches.
8 0
3 years ago
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