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iragen [17]
3 years ago
6

Write this statement as a conditional in if-then form:. . All triangles have three sides.. . (1 point). If a triangle has three

sides, then all triangles have three sides.. If a figure has three sides, then it is not a triangle.. If a figure is a triangle, then all triangles have three sides.. If a figure is a triangle, then it has three sides.
Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
5 0
The best answer among the choices listed above is the last option. The conditional if-then statement for the statement "All triangles have three sides." is "<span>If a figure is a triangle, then it has three sides".</span>
ehidna [41]3 years ago
3 0
The <u>correct answer</u> is:

<span>If a figure is a triangle, then it has three sides.

Explanation:

A conditional is an if-then statement.  The part after "if" is called the hypothesis; the part after "then" is called the conclusion.

We know that triangles have 3 sides.  We will start out with "if a figure is a triangle"; we end with "then it has three sides."

This is a true conditional statement.</span>
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I. Multiply the first function by the second one.
f(x)*g(x) = (x^2+3x-4)*(x+4) = x^3 + 3x^2 - 4x + 4x^2 + 12x -16 = x^3 +7x^2 + 8x - 16.
The domain of this new function is the set of all real numbers (R). Other notation: from minus infinity to plus infinity. We came to this conclusion because the new function poses no restrictions; regardless of which x-value you take, you will get the appropriate y-value.

II. f(x)/g(x) = (x^2+3x-4)/(x+4) =
Ask yourself: which two numbers add up to 3 and multiply to -4? It's -1 and 4. Now we can represent f(x) as (x-1)(x+4).
Since we're dividing these 2 brackets by g(x)=x+4, we may now cancel (x+4). All that's left is x-1.
The domain here is the same as in the previous task - it is R.
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2x + 6 = 4x/2 + 12/2

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Explain two methods for solving an equation. Give an example.
svlad2 [7]

For solving system of equations, we can use either substitution where we plug one equation into the other, or elimination where we combine the equations.


- Using elimination, you would to eliminate one variable from both equations, so you automatically would get one equation with one variable!


- Using substitution means you are going to solve one equation for one variable and substitute with its value in the other equation in order to get also an equation with one variable.



Let's take an example ...

y+x=2            and      y-2x = 1

<span>Using <span>elimination, we need to subtract these two equation; one from the other...

y+x=2
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y-2x=1
-----------
0+3x=1

then x=1/3       

and then substitute into any equation to get y-value</span></span>
y+x=2
y+1/3 = 2        >>>>>    y=5/3



NOW...<span>Using substitution
</span>y+x=2            and      y-2x = 1 >>(y=1+2x)

Plug (y=1+2x) into y+x=2    and solve for x
y+x=2
(1+2x) + x =2
1+3x = 2
3x=1

again (and for sure) x = 1/3

plug in x=1/3 into any of the equations above to get y:
y+x=2
y+1/3=2
y=5/3


DOne  !!!!!!


I hope you got the idea

If you still need help, just let me know.




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