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Komok [63]
3 years ago
14

What polynomial should be subtracted from the polynomial y2–5y+1 to get the difference equal to 5

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer: The polynomial

= y² - 5y - 4.

Step-by-step explanation:

Let the polynomial = f(y)

Therefore

y² -5y + 1 - f(y) = 5

f(y) = y² - 5y + 1 - 5

f(y) = y² - 5y - 4

The polynomial = y² - 5y - 4.

Check:

y² - 5y + 1 - ( y² - 5y - 4)

Open the bracket with the minus

y² - 5y + 1 - y² + 5y + 4

y² - y² - 5y + 5y + 1 + 4

= 0 - 0 + 5

= 5.

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AlexFokin [52]

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7 0
3 years ago
Compare the perimeters of the two regular figures. Which statement is true?
adell [148]

Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be=\frac{(n-2){\timeS}180^{\circ}}{6}

=\frac{(6-2){\timeS}180^{\circ}}{6}

=\frac{(4){\timeS}180^{\circ}}{6}

=120^{\circ}

Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

\frac{MP}{MQ}=cos60^{\circ}

MP=\frac{1}{2}

Thus, the perimeter of the hexagon is:

P=12{\times}MP

P=12{\times}\frac{1}{2}

P=6 units

Thus, the perimeter of hexagon is 6 units.

Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be=\frac{(n-2){\timeS}180^{\circ}}{8}

=\frac{(8-2){\timeS}180^{\circ}}{8}

=\frac{(6){\timeS}180^{\circ}}{8}

=135^{\circ}

Now, since AP is the angle bisector of the one of the angle of the octagon, therefore {\angle}PAC=cos\frac{135}{2}.

From ΔAPC, we have

AC=cos\frac{135}{2}

Now, Perimeter of octagon is:

P=16{\times}cos\frac{135}{2}

P=16{\times}0.382

P=6.122 units

Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

4 0
3 years ago
Hanukkah is an eight day Jewish cele bration which is observed in November or December, as determined by the Hebrew calendar. On
tatiyna

Answer:

30 feet

Step-by-step explanation:

Interesting question.

  • 1 cubit = 18 inches
  • 20 cubits = x
  • 1/20 = 18/x       Cross multiply
  • x = 20 * 18
  • x = 360 inches.

The maximum height is 360 inches.

  • 1 foot = 12 inches
  • x feet = 360 inches   Cross multiply
  • 12x = 360 * 1
  • 12x/12 = 360/12
  • x = 30

The maximum height reached was 30 feet.


6 0
3 years ago
Read 2 more answers
If x=36 and Y=4, how many of the following are rational numbers?
Savatey [412]

Answer:

2 of them

Step-by-step explanation:

sqr root xy and the sqr rt x/y

5 0
3 years ago
6. What is the distance between -3 and 2 on the number line?
icang [17]

Answer:

5 jumps to the right

<h2><u><em>hope it helps :D</em></u></h2>

7 0
3 years ago
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