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Tresset [83]
4 years ago
12

which second-degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2

Mathematics
1 answer:
olchik [2.2K]4 years ago
5 0

Answer:

  f(x) = -x^2 +8x -16

Step-by-step explanation:

With the given data, we can write the factored function as ...

  f(x) = -1(x -4)^2 . . . . . -1 is the leading coefficient; exponent of 2 gives root multiplicity

  f(x) = -x^2 +8x -16

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Well let's remember the place values in order to solve this

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3 years ago
In rhombus MOTH, angle HTM=(5x+6) degrees. If angle HMO=(12x-6)degrees, what is angle HMO?
forsale [732]

Answer:

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Step-by-step explanation:

we know that

In a Rhombus the diagonals bisect the angles and opposite angles are equal

In this problem

Angles HMO and HTO are opposite angles

m∠HMO=m∠HTO

m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent

substitute the values

(5x+6)\°=(1/2)(12x-6)\°

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10x+12=12x-6\\12x-10x=12+6\\2x=18\\x=9

<em>Find the measure of angle HMO</em>

m∠HMO=(12x-6)°

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see the attached figure to better understand the problem

5 0
4 years ago
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