To reflect in the line y = -x + 6, we translate everything down 6 first. This will make it seem like we are reflecting in the line y = -x
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
Step One
Find AM
Formula
AM = MN - AN
Givens
MN = 67.2
AN = 32
Solution
AM - 67,2 - 32
AM = 35.2
Step Two
Set up a solution
67.2/35.2 = 81.9/x Cross Muliply
67.2 * x = 81.9 * 35.2 Combine the right
67.2 * x = 2882.88 Divide by 67.2
x = 2882.88/67.2
x = 42.9 Answer
Answer:
The equation that can be used to determine m, the number of minutes it will take the helicopter to reach the hospital is .
Step-by-step explanation:
We are given that a medical rescue helicopter is flying at an average speed of 172 miles per hour toward its base hospital. At 2:42 p.m., the helicopter is 80 miles from the hospital.
As we know that the Distance-Speed-Time formula is given by;
Here, Distance = 80 miles
Speed = 172 miles per hour
Time = m (the number of minutes)
Firstly, as we can see that the speed is in miles per hour but the time is in minutes, so we will convert the time in hours, i,e;
Time =
So,
m = 27.91 ≈ 28 minutes.
Hence, it will take 28 minutes for the helicopter to reach the hospital.
Answer:
The answer is
<h2>7.61 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
<h3>
</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,-1) and (4, 2).
The distance is
We have the final answer as
<h3>7.61 units to the nearest hundredth</h3>
Hope this helps you
If you were to drop a vertical line from G to the base, there would be a square on the right side with sides of length 24ft. On the left would be a right triangle with a hypotenuse of 30ft and a vertical leg to 24ft. It's base could then be found using the Pythagorean Theorem.
h^2=x^2+y^2, where h is the length of the hypotenuse of a right triangle and x and y are the side lengths. In this case we have:
30^2=24^2+b^2, b is the length of the base of the triangle on left side...
900=576+b^2
b^2=324
b=18 ft
So that base length must be added to 24 ft to get the total length of FJ so:
FJ=18+24=42ft