We have to identify the transformations that take △ABC to △A"B"C".
The first transformation takes △ABC to △A'B'C'. We can see that the triangle is reflected over the x-axis (horizontal axis).
For example, as C is located on the x-axis, C' is also located on the x-axis. For A and B, its vertical coordinates change sign but mantain its absolute value.
We can write this transformation as:
This transformation shows that the horizontal coordinates are mantained and the vertical coordinates have their sign inverted.
The second transformation is a translation. The orientation stays the same but the points are translated a fixed number of units in both the horizontal and vertical direction.
We can take any point and its transformed point and compare its coordinates. For example B'' is 6 units to the right and 2 units up.
Then, we can write:
We can generalize this to the rule:
as the x-coordinate will increase 6 units and the y-coordinate will increase 2 units.
Answer: the transformations are a reflection over the horizontal axis (y=0) and a translation of (x+6,y+2) [First option].
Answer:
5
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(-2 - 2)² + (5 - 2)²
√(-4)² + (3)²
√16 + 9
√25
= 5
The horizontal distance AC is the sum of AD and BE.
We are already given AD = 80.
The triangle BCE is a right triangle, and since the bearing of the second part is 62 degrees, the angle CBE is 28 degrees.
So, we can get the length of the leg BE by multiplying the hypotenuse BC by the cosine of the adjacent angle BCE:
Answer:
18 bags of coffee
Step-by-step explanation:
12 divided into 2/3 is the same as 12 multiplied by 3/2
12 x (3/2) = 18
18 bags x( 2/3) pounds of coffee each = 12 pounds of coffee
Answer:
There would be 5.5 or 5 1/2 classes
Step-by-step explanation:
Turn fractions into decimals
Multiply each by 60
Then Divide