The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation. See the attached image for details.
<h3>What is a rotation in math?</h3>
Rotation in math refers to the change in the angle of a geometric shape around a central axis on a point on the geometric plane such that it's original coordinates are modified but it's size or shape.
Hence, it is correct to state that The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation.
Learn more about translation at:
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Steps to simplify:
(2x + 3)(x - 7)
~Use FOIL to multiply
(2x * x) + (2 * -7) + (3 * x) + (3 * -7)
~Simplify
=2x² - 14x + 3x - 21
~Combine Like Terms
2x² + (-14x + 3x) - 21
~Simplify
2x² - 11x - 21 (Option 2)
Best of Luck!
6 x 60 x 5 would be the equation and all of that put together would be 1,800 vehicles would pass by in an hour.
<span>f(x) = x² + 4x
so
</span><span>f(-2) = (-2)² + 4(-2)
f(-2) = 4 - 8
f(-2) = -4
answer
-4</span>
Answer:
Step-by-step explanation:
We need to create an equation to represent how many air fresheners the teacher can buy.
Teacher has $10 and a $3 discount coupon which would give her an extra $3 to spend. Each air freshener is $3.50.
x = number of air fresheners
($10 + $3) / $3.50 = x can be written as $13/$3.50 = x
We add $10 and $3 because that gives us the total amount she has to spend.
We divide by $3.50 because that is the cost of each air freshener. The result is the number of air fresheners she can buy.
In this case.
$13/$3.50 = x
3.71 = x BUT we can't buy part of an air freshener, so she can purchase 3 air fresheners.
