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kotykmax [81]
3 years ago
11

Which expressions are polynomials? Select each correct answer. 3y2(x14) 9x2(y5) 4x2(y5) 8x2(3y)

Mathematics
2 answers:
laiz [17]3 years ago
3 0

Answer:

option B and C are correct.

Step-by-step explanation:

The correct question is:

Which expressions are polynomials? Select EACH correct answer.

A: 3y2(x^1/4)

B: 9x2(y^5)

C:  4x2(y^5)

D: 8x2(3^y)

Solution:

According to this question option B and C are correct.

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. a variable's exponents can only be 0,1,2,3,... etc. A polynomial can not have any exponent as a variable or a fraction

ycow [4]3 years ago
3 0

Answer:

B_9x2(y5)

C_4x2(y5)

D_8x2(3y)

Step-by-step explanation:

here is the prove

thanks anyway

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Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart. A cable that is stretched fr
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Answer:

Step-by-step explanation:

Given

height of two Poles are 60 and 80 ft

Distance between them is 100 ft

Let x be the distance of Pole of ht 80 ft from Point of stretch

thus length of rope is given by

L=L_1+L_2

L_1=\sqrt{80^2+x^2}

L_2=\sqrt{60^2+(100-x)^2}

L=\sqrt{80^2+x^2}+\sqrt{60^2+(100-x)^2}

differentiate w.r.t x we get

\frac{\mathrm{d} L}{\mathrm{d} x}=\frac{2x}{2\sqrt{80^2+x^2}}-\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}

Put \frac{\mathrm{d} L}{\mathrm{d} x}=0 to get minimum value

\frac{2x}{2\sqrt{80^2+x^2}}=\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}

squaring

x^2\left ( (100-x)^2+60^2\right )=(100-x)^2(80^2+x^2)

Rearranging

28x^2-1800x+640000=0

x=\frac{400}{7}

thus L_1=98.312 ft

L_2=73.73 ft

L=172.04 ft  

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