The answer is 5.1 when you enter it into a calculator :)
A transformation is rigid if the original shape remains the same shape and size after the transformation.
Flipping a pancake:
After it is flipped, the pancake should stay the same size and shape, so it is a rigid motion and it is a rotation.
Deflating an air mattress:
Deflating a mattress changes its size, so the transformation is not rigid. This is called a dilation.
Moving a clock's minute hand:
Moving the minute hand does not change the hand's size or shape so the transformation is rigid. This transformation is a combination of a translation and a rotation. The translation is what moves the hand around the center of the clock, and the rotation is what changes the direction of the hand.
Enlarging a photo:
Enlarging a photo changes the photo's size, so this transformation is not rigid. This is called dilation.
Putting a golf ball:
Putting does not change the size or shape of a golf ball, so this transformation is rigid. Putting a golf ball both rotates and moves the ball, so the transformation is rotation and translation.
Looking in a car's rear view mirror:
Assuming the car is moving relative to something behind it(because otherwise there would be no transformation), As things come closer to the back of the car, they would appear larger in the mirror, and as things move away from the back of the car, they would appear smaller in the mirror. Because the size changes when looking at the mirror, this is not a rigid transformation and is called dilation.
Answer:
see below
Step-by-step explanation:
The slopes of parallel lines are the same. The slopes of perpendicular lines are negative reciprocals of each other, hence their product is -1.
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For the most part, the concept of adding slopes of lines does not relate to parallel or perpendicular lines in any way.
Answer:
177 ft below sea level.
Step-by-step explanation:
Initial altitude of the hot air balloon = 282 below sea level
Rate of rise of balloon = 10 ft / second
Time = 12 seconds
Total rise in 12 seconds = Rate of rise of balloon 
Time
= 120 ft
Now, we will have to subtract to find the new altitude.
New altitude = 282 - 120 = 162 ft
Now, it is given that balloon Captain lowers the balloon 15 ft.
To find the final altitude, we will have to add it to the previous altitude.
Therefore, the final altitude = 162 + 15 = <em>177 ft below sea level </em>
Answer:
(-4, 5.5)
Step-by-step explanation:
1. put your Xs and Ys over 2
2. add them together
3. Divide
4. Simplify
5. Turn fraction into decimal
