<h3>
Answer: (12,3)</h3>
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Explanation:
R is located at (3,4). Move it 3 units to the left and 4 units down to have it move to (0,0). Call this point A. Apply the same translation rule to point B so that (2,-5) moves to (-1,-9). Let's call this point C
Now you'll use the rule 
which rotates any point around the origin 90 degrees counterclockwise. So we're rotating C around A.
Point C has the coordinates (-1,-9). When you use the rotation rule we get 
. We'll call this point D
Finally, undo the translation rule done at the start of the problem. So we'll go 3 units to the right and 4 units up to have point D move to point E = (12,3) which is exactly where point B' is located.
Check out the diagram below.
Answer:
m∠1=118°
m∠2=62°
Step-by-step explanation:
Part A: They are supplementary angles, so
Simplify like terms,
We subtract 92,
Divide by 2,
Part B:
∠
because ∠2 is vertical to 2x+30.
Plug in 44 for x,
∠
Simplify,
∠
∠
° because it is a vertical angle to the 62° angle.
Answer:
-131
Step-by-step explanation:
Use -5 in place of x
f(x) = –2x^3+ 3x – 6
f(x) = -2*-5^3+3*5-6
Answer:
6 red marbles
Step-by-step explanation:
We must first find our multiplier since a sample represents a population (the whole thing).
6/2 = 3, so 3 * 2 = 6.
I will use the value of 6/2, aka 3 and use that as my divisor.
18/3 = 6.
Therefore, you would expect to have 6 red marbles.
The first set of expressions bc 3x is equivalent to 3x and -7y is equivalent to -7y
