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SCORPION-xisa [38]
4 years ago
13

How can absolute value help you understand the size of a quantity? Give an example.

Mathematics
2 answers:
Eduardwww [97]4 years ago
3 0
I hope this helps you

Elden [556K]4 years ago
3 0
The x is the absolute value so the x is the unknown number....
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Find the vertex, focus, directrix, and focal width of the parabola. x2 = 12y
Molodets [167]
\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
4p(x- h)=(y- k)^2
\\\\
\boxed{4p(y- k)=(x- h)^2}
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ( h, k)\\\\
 p=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
x^2=12y\implies (x-0)^2=12(y-0)\implies (x-\stackrel{h}{0})^2=4(\stackrel{p}{3})(y-\stackrel{k}{0})

so, the vertex of h,k is at the origin, as you can see 0,0.

4p is the focal width, which is well, 4*3.

now, the parabola has a positive leading term's coefficient, namely 1x², the 1 is positive, well, that simply means that, since the squared variable is the "x", is a vertical parabola, and since its coefficient is positive, is opening upwards, like a bowl.

 the focus point will be "p" distance from the vertex, and the directrix is also "p" distance from the vertex as well, but in the opposite direction.

since the parabola is opening upwards, that's where the focus point is at, 3 units UP from 0,0, namely at (0,3).

and due to the same reason as above, the directrix is 3 units DOWN from the vertex, namely a horizontal line running over y = -3.
5 0
3 years ago
When a rational and an irrational number are added, is the sum rational or irrational? Explain.
Ilya [14]
Sum of an irrational number and a rational number is always irrational. Take for example 1/2 + \pi. Clearly, 1/2 is rational and its decimal expansion is equal to 0.5, while \pi is irrational and has a non-repeating, non-terminating decimal expansion. When you add the two, you are obviously going to get a non-repeating, non-terminating decimal expansion, hence the sum is irrational.
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3 years ago
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artcher [175]
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3 years ago
What is the area of a triangle that has 6in high and 7in of the base
GenaCL600 [577]

Answer:

A=1/2(b)(h)

Step-by-step explanation:

A=1/2(7)(6)

A=21

6 0
4 years ago
Which statement describes a unit rate?
NeTakaya

Answer:

sam is driving 40 miles per 1 hour

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