Which expression is equivalent to 3k + 5l + 6l + 2k?
1 answer:
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Answer:
See below
Step-by-step explanation:
The initial ordered-pairs are
We have a rotation of 90 degrees counterclockwise with respect to origin
Note. Previously the points were
After the rotation, we have
Thus,
Then shifting horizontally to the right 2 units, we get ΔA'B'C'
Thus,
Answer:
Step-by-step explanation:
We want to find the distance between two points, so the following formula is used.
Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.
We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:
- x₁= -2
- y₁= -1
- x₂= 3
- y₂= 2
Substitute the values into the formula.
Solve the parentheses.
- -2 -3 = -5
- 2--1 = 2+ 1 = 3
Solve the exponents.
- (-5)²= -5*-5= 25
- (3)²= 3*3=9
Add.
This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.