When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
Answer:
42 inches
By regulation it may be no more than 2.75 inches (7.0 cm) in diameter at the thickest part and no more than 42 inches (1.067 m) in length.
Step-by-step explanation:
baseball bat - is a smooth wooden or metal club used in the sport of baseball to hit the ball after it is thrown by the pitcher.
length- a measure of distance.
Answer:
-75 and -77
Step-by-step explanation:
This can be wrote as
. Combine like terms and subtract 2 from both sides to get
. Divide by two to get
and then add two to get -75.
Answer:
The answer is (-0.7, -9.4)
Step-by-step explanation:
1) Since we are using the substitution method, and we know that y = 2x-1, in the first equation, plug that into y. It should look like this:
4x-2(12x-1) = 14
4x -24x + 2 = 14
2) Combine like terms and continue to simplify until you get a direct answer for each variable.
-20x + 2 = 14.
-20x = 12.
x = -7/10 (or -0.7)
3) Now we know what x equals, so to find our y-coordinate, we will plug this into either equation.
y = 12(-7/10) -1
y= -84/10 -1
y= -9.4
4) Now that we have our x value and y value, we know our point. The solution is (-0.7, -9.4).