Answer:
5.59 times per second.
Step-by-step explanation:
Direct variation is in the form:
Where <em>k</em> is the constant of variation.
Inverse variation is in the form:
In the given problem, the frequency of a vibrating guitar string varies inversely as its length. In other words, using <em>f</em> for frequency and <em>l</em> for length:
We can solve for the constant of variation. We know that the frequency <em>f</em> is 4.3 when the length is 0.65 meters long. Thus:
Solve for <em>k: </em>
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So, our equation becomes:
Then when the length is 0.5 meters, the frequency will be:
Answer:
<h2>D. y - 5 = 2/3(x + 3)</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
We have the slope 2/3 an the point (-3, 5). Substitute:
Answer:
<em>2(x - 1) - 1 = 3(x + 1) - 6 - x</em>
<em>There are infinitely many solutions.</em>
Step-by-step explanation:
<u>Equations</u>
Suppose Nicky was trying to solve the equation
2(x - 1) - 1 = 3(x + 1) - 6 - x
Operating:
2x - 2 - 1 = 3x + 3 - 6 - x
2x - 3 = 2x - 3
Subtracting 2x:
-3 = -3
This equation is true regardless of the value of x, thus x can have any value. There are infinitely many solutions.
The same result could have come with these equations:
4x - 3 = -3 + 4x
4(x - 1) + 1 = 4(x + 1) - 7
Answer: Acidic means having a pH less than 7. Or something containing acid. Such as vinegar, Coke, and so on. Also meaning something that tastes bitter.
<h2>Hope this helps!!!!!</h2>
We can use pythagorean theorem to find the side of one of the triangles/
12^2 + x^2 = 15^2
x = 13
Since there are two of these triangles:
x = 13+13
x = 26
Hope this helps!
