Drawing a diagonal means to connect a vertex with another non-adjacent vertex.
So, for each vertex, we have 8-3=5 possible diagonals. This leads to a total of 8*5=40 diagonals.
We have to divide this number by 2 though, because in this way we're counting each diagonal twice (connecting points AB or BA gives the same diagonal).
So, an 8 sided shape has 20 diagonals.
<h3>
Answer: Negative</h3>
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Explanation:
3/7 = 0.42857 approximately
Pick a number between that value and 5, not including either endpoint. Let's say we pick x = 2
Plug x = 2 into the f(x) function
f(x) = (x - 5)(2x + 7)(7x-3)
f(2) = (2 - 5)(2*2 + 7)(7*2-3)
f(2) = (2 - 5)(4 + 7)(14-3)
f(2) = (-3)(11)(11)
f(2) = -363
The actual result doesn't matter. All we're after is whether the result is positive or negative. We see the result is negative. This means f(x) is negative when 3/7 < x < 5. The f(x) curve is below the x axis on this interval.
Answer:
(7,6)
Step-by-step explanation:
Triangle ABC with vertices at points A(4,10), B(10, 10) , and C(10, 2) is a right triangle with the hypotenuse AC.
The circumcenter of the right triangle is the midpoint of the hypotenuse.
Find the coordinates of the midpoint O of the hypotenuse AC:

So, O(7,6)
Answer:
A Variable
Step-by-step explanation:
Variables are used to mark an unknown value. Common math problems ask you to solve for it.
For example in 5x+23=45, 'x' is the variable.
A constant is a number without a variable.
<em>Brainilest Appreciated. </em>
Answer:
2x² + 6 = 34x
Step-by-step explanation:
2x² - 10x + 6 = 24x
Collect like terms
2x² + 6 = 24x + 10x
2x² + 6 = 34x