Answer:
-2/8
Step-by-step explanation:
Answer:
the rate of change is 1/2
Step-by-step explanation:
The rate of change is described by the change in y over the change in x. I'm guessing you meant to put an x after 1/2. The equation you wrote is in y-intercept form, as it gives us the slope and y-intercept. Slope is the same as rate of change. In simple terms, the number beside x is the rate of change. 1/2
Problem 4
x = interior angle
y = exterior angle
x = 3y since "each interior angle...is three times the measure of each exterior angle"
The interior and exterior angles are supplementary, meaning,
x+y = 180
3y+y = 180
4y = 180
y = 180/4
y = 45
So we know that
n = 360/y
n = 360/45
n = 8
You are correct in saying that this is an octagon
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Problem 5
x = measure of missing angles
Find the sum of the interior angles
S = 180*(n-2)
S = 180*(5-2)
S = 540
The five interior angles add up to 540 degrees
Add up the five angles, set equal to 540, then solve for x
90+90+90+x+x = 540
2x+270 = 540
2x+270-270 = 540-270
2x = 270
2x/2 = 270/2
x = 135
So you have the correct answer of choice C) 135 degrees
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Problem 6
S = 180*(n-2)
S = 180*(6-2)
S = 180*4
S = 720
You have the correct answer. Nice work on all three correct answers.
-2a²b + a² + 3ab² - b² + 2(a²b + 2ab)
Simplify the parenthesis first.
-2a²b + a² + 3ab² - b² + 2a²b + 4ab
Now, add like terms.
(-2a²b + 2a²b) + 3ab² + 4ab + a² + b²
Simplify.
3ab² + 4ab + a² + b²
That is the simplest it can be simplified.
~Hope I helped!~
<h3>
Answer:</h3>
D. an = 14 - 1.5n
<h3>
Step-by-step explanation:</h3>
Selection D is the only one that works to give a1 = 12.5.