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Vedmedyk [2.9K]
3 years ago
12

Find the Gcf of 28 and 42

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

28 = 2 * 2 * 7

and

42  = 2 * 3 * 7

GCF =  2 * 7 = 14

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A circumscribed figure is inside another figure while an inscribed figure is outside another. True or false
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The term circumscribed means to limit, to restrain, or to surround. The figure circumscribed another figure means it is outside of that figure. On the other hand, the term inscribed means to draw the figure within another. This means that it should be inside another figure. 

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Help w this also! please<3
jolli1 [7]

Answer:

equation for line:  y = 5/3x -7/3

Step-by-step explanation:

The equation for a linear line is y = mx + c. m is the gradient of the line, also known as slope. So, m = 5/3.

Next we need to find c. Since we know a point the line must intersect, we can sub this into our line equation to get an answer:

(2,1) x=2,y=1

1 = 5/3*2 + c

1 = 10/3 + c

1 - 10/3 = c

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-7/3 = c

The final eqaution of the line is: y = 5/3x -7/3

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A parabolic mirror to be used in a
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The equation of a parabola is y=x^2-10x+27. Write the equation in vertex form
azamat

Answer:

\large \boxed{y = (x - 5)^{2} + 2 }

Step-by-step explanation:

y = x² - 10x + 27

y = ax² + bx + c

This is the general form of the equation for a parabola.

We must convert it to the vertex form

y = (x - h)² + k, where (h,k) are the coordinates of the vertex.

We can do this by completing the square.

\begin{array}{rcll}y & = & x^{2} - 10x + 27 & \\y - 27 & = & x^{2} - 10x & \text{Subtracted 27 from each side}\\y - 27&= & x^{2} - 10x + 25 - 25 & \text{Added and subtracted (b/2)}^{2}\\y - 27&= & (x - 5)^{2} - 25 & \text{Wrote the first three terms as the square of a binomial}\\y& = & \mathbf{(x - 5)^{2} + 2} & \text{Added 27 to each side}\\\end{array}\\\text{The vertex form of the parabola is $\large \boxed{\mathbf{y = (x - 5)^{2} + 2 }}$}The figure below shows that your parabola has its vertex at (5,2).

4 0
4 years ago
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