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JulijaS [17]
3 years ago
15

12. Match the function with the correct parabola.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Step-by-step explanation:

a x^2/4

b -x^2/4+3

c 4x^2

d -x^2

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Answer:

20%

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3 years ago
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kumpel [21]

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4 0
3 years ago
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Find the length of the line PA.
Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

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A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60

The area of right triangle:

A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30

Use the Pythagorean theorem to calculate the length of RO:

|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13

The formula of an area of this right triangle is:

A_T=\dfrac{1}{2}|RO||PA|

Therefore we have the equation:

\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

8 0
3 years ago
6 more than the difference of b and 5
kirza4 [7]
The answer would be b-5+6
8 0
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melisa1 [442]
It will also be 12 long
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