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beks73 [17]
3 years ago
6

Find the values for a and b that would make the equality true. 4(ax^2 -5x+3)=8x^2 +bx+12

Mathematics
2 answers:
tankabanditka [31]3 years ago
5 0

Answer:

a 2 and b -20

Step-by-step explanation:

yawa3891 [41]3 years ago
4 0

Answer:

a = 2 and b = -20

Step-by-step explanation:

4(ax^2 -5x+3)=8x^2 +bx+12 should be multiplied out.  Next, we equate the coefficients of the several powers of x:

4ax² - 20x + 12 = 8x² + bx + 12

Then 4a = 8, so a = 2

and   -20 = b

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In the figure below, points M, P, H, J, and K lie in plane Z.
marishachu [46]

Answers:

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  • (c) K
  • (d) HK

===================================================

Explanation:

Part (a)

Lines LN and PN have the point N in common. This is the intersection point.

-----------------

Part (b)

To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.

I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.

------------------

Part (c)

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------------------

Part (d)

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