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const2013 [10]
3 years ago
10

How would you determine which x-values to use when creating a table of values to graph a parabola?

Mathematics
1 answer:
blagie [28]3 years ago
5 0
To determine which values of x we would use for creating a graph of a parabola, we need to know where the line of symmetry, or the axis of symmetry is. For that we can use the equation:

y=(x-h)+k, where we know h and k.

From this equation we can see that the line of symmetry is passing trough x=h.

And now we can determine which values do we need to add to h and to subtract from h to get values of x to create the table of values to plot a parabola.
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-x-2y-4z=-6<br> X-5y-2z=-2<br> 2x-3y+2z=2
Svetlanka [38]

Answer:

\sqrt{2} or (1/2)

Step-by-step explanation:

7 0
4 years ago
The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x + y
Ivahew [28]

The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is 

(x - x^2)^2 * sqrt(3)/4. 

Integrating from x = 0 to x = 1, we have 

[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4 

= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144. 

Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...

8 0
3 years ago
Find the value of 35° 9 ​
Liono4ka [1.6K]

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26°9

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8 0
3 years ago
If there are 30 girls and 50 boys In a class how what is the greatest Conan factor ​
dexar [7]

Answer:The greatest common factor is 15 to 10.

Step-by-step explanation:

4 0
3 years ago
1) WET SURPRISE A water balloon is launched off of a patio. The path of the water
mart [117]

The function of the water balloon is an illustration of a quadratic function.

The balloon will splat on the ground after 2.5 seconds

The function is given as:

h(t) = -6t^2 + 13t + 5

When the balloon splats on the ground, the value of h(t) is 0.

So, we have:

-6t^2 + 13t + 5 = 0

Expand the expression

-6t^2 + 15t- 2t + 5 = 0

Factorize the above expression

-3t(2t - 5)- 1(2t - 5 )= 0

Factor out 2t - 5 in the 2t - 5

(-3t - 1)(2t - 5 )= 0

Split the equation into 2

-3t - 1 = 0\ or\ 2t - 5= 0

Rewrite as:

-3t = 1\ or\ 2t = 5

Solve for t

t = -\frac 13\ or\ t = \frac 52

The value of t cannot be less than 0 i.e. negative.

So, we have

t = \frac 52

Divide 5 by 2

t = 2.5

Hence, the balloon will splat on the ground after 2.5 seconds

Read more about quadratic functions at:

brainly.com/question/11631534

6 0
3 years ago
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