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sineoko [7]
3 years ago
10

Please answer this multiple choice question, will give brainliest!!

Mathematics
2 answers:
Kamila [148]3 years ago
7 0

Answer:

C. 4.3 cm

Step-by-step explanation:

Since it is a right triangle you can use a²+b²=c² to solve this. Then you subtract 2 from the AC to get AD.

aleksley [76]3 years ago
4 0

Answer: I think its 4.3 if its not then its 4.0

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Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu
Softa [21]

<u>Answer-</u>

<em>The polynomial function is,</em>

y=x^4-10x^3+38x^2-64x+40

<u>Solution-</u>

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))   ( ∵ (3-i) is the conjugate of (3+i) )

\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)

\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)

\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)

\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)

\Rightarrow y=(x^2-4x+4)(x^2-6x+10)

\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10

\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40

\Rightarrow y=x^4-10x^3+38x^2-64x+40

Therefore, this is the required polynomial function.


4 0
3 years ago
Given a point on a line and the equation of a parallel or perpendicular line, write the equation of the line in point-slope form
Arlecino [84]

Answer: y - 5 = 0(x - 1)

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

Explanation:

Recall that point slope form in general is written as such

y - y1 = m(x - x1)

where,

m is the slope

(x1,y1) is the point the line goes through

The given equation y = 7 can be written as y = 0x+7. So we see that this line has a slope of m = 0

Plug m = 0 along with the given point (x1,y1) = (1,5) into the point slope equation and we get

y - y1 = m(x - x1)

y - 5 = 0(x - 1)

which is the final answer

note: the equation in bold can be rearranged and simplified to get y = 5; however your teacher seems to want the answer in point-slope form, so we leave it as such.

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