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:
A 3/5
Step-by-step explanation:Here’s one way to solve this problem.
Write sixty percent as a fraction having a denominator of one hundred.
Now, change sixty-hundredths to an equivalent fraction having a denominator of twenty, the total number of pitches.
Do this by dividing the numerator and the denominator by five.
Then, simplify the fraction twelve-twentieths by dividing the numerator and the denominator by four.
So, Lenora hit three-fifths of the pitches.
Answer:
A. 12.4
Step-by-step explanation:
To find a, we'll use the Law of Sines that says:
And we'll isolate a to get:
We first need to find A, which is easy. The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:
A = 180 - 90 - 16.75 = 73.25
(converted 16°45' to 16.75)
Then we will plug-in the information we already have
So, let's round it to 12.4 to match the answer A.
Consider the ordering
... -2 < -1
Now consider the ordering of their absolute values:
... 1 < 2
_____
Hopefully, you see that changing the sign reflects the sequence across the origin, so that the ordering is reversed when the signs are changed.
4.4a-2.9a= 1.5a
6.8-7.3=(-0.5)
Ans: 1.5a+(-0.5) OR 1.5a-0.5