The approximate side length of a square game board with an
area of 184 in^2 is 14 inches
<h3>Area of a square</h3>
The formula for calculating the area of a square is expressed as;
A = l^2
where
l is the side length of a square
Given the following parameters
A = 184 square inches
Substitute
184 l^2
l = √184
l = 13.56
Hence the approximate side length of a square game board with an
area of 184 in^2 is 14 inches
Learn more on area of a square here: brainly.com/question/25092270
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Hello there!
To find the increasing intervals for this graph just based on the equation, we should find the turning points first.
Take the derivative of f(x)...
f(x)=-x²+3x+8
f'(x)=-2x+3
Set f'(x) equal to 0...
0=-2x+3
-3=-2x
3/2=x
This means that the x-value of our turning point is 3/2. Now we need to analyze the equation to figure out the end behavior of this graph as x approaches infinity and negative infinity.
Since the leading coefficient is -1, as x approaches ∞, f(x) approaches -∞ Because the exponent of the leading term is even, the end behavior of f(x) as x approaches -∞ is also -∞.
This means that the interval by which this parabola is increasing is...
(-∞,3/2)
PLEASE DON'T include 3/2 on the increasing interval because it's a turning point. The slope of the tangent line to the turning point is 0 so the graph isn't increasing OR decreasing at this point.
I really hope this helps!
Best wishes :)
A
We can't really do this without seeing 28, but I can give you an educated guess. The best way for me to proceed is to solve c.
The conjecture is that x = a + b. You should always find that to be true. C is the clincher.
Here's how you do that.
x + c = 180o That's true because all straight lines have 180o. If two angles make up the straight line that means that they are always equal to 180o So x + c = 180o
Now we move to the next step. All triangles also have 180o. That means that a + b + c = 180o
So we have two conditions that equal 180o. Equalities can be equated to one another.
a + b + c = x + c Subtract c from both sides.
a + b = x.
Study what has happened. Put in mathese, the two remote interior angles equal the exterior angle, which is what you are trying to prove.
Summary
a cannot be solved without 28
b you should say that the two remote angles (a and b) will always total x
c The proof is provided for you.
