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3 years ago

15

A 340 m wire is cut into three pieces. The second piece is 4 times as long as the first. The third piece is 3 times as long as t

he second. How long is each piece

1 answer:

USPshnik [31]3 years ago

3 0

Answer: total length 5780

Step-by-step explanation:

1st wire. 340m

2nd wire. 1360m

3rd wire. 4080

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PLEASE HELP!!!Find the area of the kite.

Veseljchak [2.6K]

Answer:

9

Step-by-step explanation:

9 is the correct answer.

4 0

3 years ago

Will upvote every thing

Nastasia [14]

When 2 lines are coinciding, this means its the same line.
One equation is simply a multiple of the other.

8x = 4x*2
This means the multiplier is 2

5y*2 = 10y

8*2 = 16

The missing values are 10y and 16

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4 years ago

Solve each equation. I don't know this

MArishka [77]

1. $(2x - 3)(x + 7) = 0$
   $2x^{2} + 14x - 3x - 21 = 0$
   $2x^{2} + 11x - 21 = 0$

   $x = \frac{-11 +/- \sqrt{11^{2} - 4(2)(-21)}}{2(2)}$

   $x = \frac{-11 +/- \sqrt{121 + 168}}{4}$

   $x = \frac{-11 +/- \sqrt{289}}{4}$

   $x = \frac{-11 +/- 17}{4}$

   $x = -2.75 +/- 4.25$
   $x = -2.75 + 4.25$    $x = -2.75 - 4.25$
   $x = 1.5$    <u></u> $x = -7$
---------------------------------------------------------------------------------------------------------- 2. $8x(2x - 5) = 0$
   $8x(2x) - 8x(5) = 0$
   $16x^{2} - 40x = 0$
   $16x^{2} - 4x + 0 = 0$

   $x = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4(16)(0)}}{2(16)}$

   $x = \frac{40 +/- \sqrt{1600 - 0}}{32}$

   $x = \frac{40 +/- \sqrt{1600}}{32}$

   $x = \frac{40 +/- 40}{32}$

   $x = 1.25 +/- 1.25$
   $x = 1.25 + 1.25$       $x = 1.25 - 1.25$
   $x = 2.5$          $x = 0$
----------------------------------------------------------------------------------------------------------
3. $x^{2} + 3x - 10 = 0$

   $x = \frac{-3 +/- \sqrt{3^{2} - 4(1)(-10)}}{2(1)}$

   $x = \frac{-3 +/- \sqrt{9 + 40}}{2}$

   $x = \frac{-3 +/- \sqrt{49}}{2}$

   $x = \frac{-3 +/- {7}}{2}$

   $x = -1.5 +/- 3.5$
   $x = -1.5 + 3.5$    $x = -1.5 - 3.5$
   $x = 2$        $x = -5$
----------------------------------------------------------------------------------------------------------
4. $x^{2} = 13x - 36$
    $x^{2} - 13x + 36 = 13x - 13x - 36 + 36$
    $x^{2} - 13x + 36 = 0$

    $x = \frac{-(-13) +/- \sqrt{(-13)^{2} - 4(1)(36)}}{2(1)}$


    $x = \frac{13 +/- \sqrt{169 - 144}}{2}$

    $x = \frac{13 +/- \sqrt{25}}{2}$

    $x = \frac{13 +/- 5}{2}$

    $x = 6.5 +/- 2.5$
    $x = 6.5 + 2.5$ $x = 6.5 - 2.5$
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----------------------------------------------------------------------------------------------------------
5. $3x^{2} - 7x + 2 = 0$

   $x = \frac{-(-7) +/- \sqrt{(-7)^{2} - 4(1)(2)}}{2(3)}$

   $x = \frac{7 +/- \sqrt{49 - 8}}{6}$

   $x = \frac{7 +/- \sqrt{41}}{6}$

   $x = \frac{7 +/- 6.403124237432849}{6}$

   $x = 1.167+/- 1.06718737290547$
   $x = 1.67 + 1.06718737290547$ $x = 1.167 - 1.06718737290547$
   $x = 2.73718737290547$    $x = 0.60281262709453$
----------------------------------------------------------------------------------------------------------
6. $10x^{2} - 10x + 9 = 5x^{2} + 4x + 1$
   $10x^{2} - 5x^{2} - 10x + 10x + 9 - 1 = 5x^{2} - 5x^{2} + 4x + 10x + 1 - 1$
   $5x^{2} + 8 = 14x$
   $5x^{2} - 14x + 8 = 14x - 14x$
   <u /> $5x^{2} - 14x + 8 = 0$

   $x = \frac{-(-14) + \sqrt{(-14)^{2} - 4(5)(8)}}{2(5)}$

   $x = \frac{14 +/- \sqrt{196 - 160}}{10}$

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5 0

4 years ago

Which choices are equivalent to the expression below ? Check all that apply sqrt(- 4)

9966 [12]

Answer:

D 2i

Step-by-step explanation:

5 0

3 years ago

A circle with area 36π has a sector with a central angle of 11/6π radians. What is the area of the sector?

bazaltina [42]

Answer:

33pi or 103.62 squre units

Step-by-step explanation:

$central \: angle \: ( \theta) \\ = \frac{11}{6} {\pi}^{c} = \frac{11}{6} \times 180 \degree = 330 \degree \\ \\ area \: of \: sector \\ = \frac{ \theta}{360 \degree} \times area \: of \: circle \\ \\ = \frac{ 330 \degree}{360 \degree} \times 36 \: \pi \\ \\ = \frac{ 330 }{10 } \pi \\ \\ = \red{ \bold{33\pi}} \: {units}^{2} \\ = 33 \times 3.14 \\ = 103.62 \: {units}^{2} \\$

4 0

3 years ago