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iVinArrow [24]
3 years ago
7

A cube has volume of 8 cubic inches. what is the length of each of the cube?

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

Answer:

2

Step-by-step explanation:

2x2x2x2 is 8

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HELP PLZ ASPA 100 POINTS WILL GIVE BRAINLIEST!!!
Varvara68 [4.7K]

Step-by-step explanation:

(x10,y-2), reflection over y=1

6 0
2 years ago
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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
Solve the proportions:
IRINA_888 [86]

<u>Answer:</u>

  • 6. 6.75
  • 7. 27
  • 8. 92/17
  • 9. 49

<u>Step-by-step explanation:</u>

<u>- Question 6 -</u>

  • 9/16 = x/12
  • => 16x = 12 x 9
  • => 16x = 108
  • => x = 6.75

Hence, <u>the value of x in this proportion is 6.75.</u>

<h3>_______________________________</h3>

<u>- Question 7 -</u>

  • -3 + x/18 = 12/9
  • => -3/18 + x/18 = 4/3
  • => x/18 = 4/3 + 1/6
  • => x/18 = 8/6 + 1/6
  • => x/18 = 9/6
  • => x = 9/6 x 18
  • => x = 27

Hence, <u>the value of x is 27</u>

<h3>_______________________________</h3>

<u>- Question 8 -</u>

17/15 = 10/2x - 2

=> 17(2x - 2) = 150

=> 34x - 34 = 150

=> 34x = 184

=> x = 184/34

=> x = 92/17

Hence, <u>the value of x is 92/17</u>

<h3>_______________________________</h3>

<u>- Question 9 -</u>

  • x - 16/x + 6 = 3/5
  • => 5(x - 16) = 3(x + 6)
  • => 5x - 80 = 3x + 18
  • => 2x = 98
  • => x = 49

Hence, <u>the value of x is 49.</u>

<h3>_______________________________</h3>

Hoped this helped.

3 0
3 years ago
Number 4 pleeeaaassseee
dmitriy555 [2]
This is simple, cycle through the answers until you get 30 inches squared. The answer is height equals 5. 2x3x5=30
8 0
3 years ago
What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1,5)?
romanna [79]
m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{5 - (-1)}{-1 - 3} = \frac{5 + 1}{-4} = \frac{6}{-4} = \frac{3}{-2} = -1\frac{1}{2}
  y - y₁ = m(x - x₁)
y - (-1) = -1¹/₂(x - 3)
  y + 1 = -1¹/₂(x) + 1¹/₂(3)
  y + 1 = -1¹/₂x + 4¹/₂
      - 1              - 1
         y = -1¹/₂x + 3¹/₂

  4x + y - 2 = 0
            + 2 + 2
       4x + y = 2
4x - 4x + y = -4x + 2
               y = -4x + 2
         y - y₁ = m(x - x₁)
      y - (-3) = -4(x - 4)
         y + 3 = -4(x) + 4(4)
         y + 3 = -4x + 16
             - 3            - 3
               y = -4x + 13

  2x - 3y - 5 = 0
             + 5 + 5
2x - 2x - 3y = -2x + 5
             -3y = -2x + 5
              -3         -3
                y = ²/₃x - 1²/₃
       y - (-3) = -1¹/₂(x - 4)
          y + 3 = -1¹/₂(x) + 1¹/₂(4)
          y + 3 = -1¹/₂x + 6
              - 3              - 3
                y = -1¹/₂x + 3

8 0
3 years ago
Read 2 more answers
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