Answer:
reflection, then rotation, then translation
Step-by-step explanation:
Read the problem statement. It tells you the sequence:
Triangle A B C is <em>reflected</em> across B C to form triangle A prime B C. Triangle A prime B C is <em>then rotated</em> about point A to form A prime B prime C prime. Triangle A prime B prime C prime is <em>then shifted to the right</em> to form A double-prime B double-prime C double-prime.
The transformations are ...
reflection, then rotation, then translation
EQ. 1: x + y = 8
EQ. 2: 4x-y = 7
Rewrite EQ. 1 as EQ. 3: x = 8-y
Replace x in EQ.2 with EQ. 3:
4(8-y) - y = 7
Use the distributive property:
32 - 4y - y = 7
Combine like terms:
32 - 5y = 7
Subtract 32 from each side:
-5y = -25
Divide both sides by -5
y = -25 / -5
y = 5
Now replace y with 5 in EQ. 3 to solve for X:
x = 8-5
x = 3
The point of intersection is X = 3, Y = 5, which is written as (3,5)
Answer: -5
Step-by-step explanation: The common difference is the same number we are adding each time to get from one term to the next.
In this sequence, we are adding -5 each time
so our common difference is -5.
Answer:
(-1, 1/10) and (-2, 1/100)
I can't really explain because I just put it into my graphing calculator and clicked the trace button to find the y value at certain x values. A good website to do that on is Desmos
Answer:
0.375
1.4
3
1.66666666667
Step-by-step explanation:
Divide the numerator (top number) by the denominator (bottom).
