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solmaris [256]
3 years ago
11

Solve x2+12x=82 using completing the square. Answer the questions below.

Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

exact form : x =  ± √ 118 − 6

Decimal form :  x =  4.86278049 or − 16.86278049

Step-by-step explanation:

Use the formula  ( b /2 ) ^2  in order to create a new term. Solve for  x  by using this term to complete the square.

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If mA=mB and mA + mC=D, then mB+mC=D, which property is shown?
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4 years ago
For cones with radius 6 units, the equation =12ℎ V = 12 π h =12ℎ V = 12 π h relates the height ℎ h ℎ h of the cone, in units, an
boyakko [2]

Answer:

Step-by-step explanation:

The question is not properly structured. Here is the complete question.

For cones with radius 6 units, the equation V=12\pi h relates the height h of the cone, in units, and the volume V of the cone, in cubic units. Sketch a graph of this equation on the axes.

The formula for calculating the volume of a cone is expressed as shown;

V = \frac{1}{3} \pi r^{2} h where r is the radius and h is the height.

Given radius r = 6units, on substituting;

V = \frac{1}{3}*\pi  *6^{2}*h\\ V = \frac{36\pi h}{3}\\V = 12\pi h... (1)

It can be seen from the derived volume of the cone that it is linear in nature. The volume of the cone has a linear relationship with its height. As the volume increases, the height also increases and vice versa.

Generally for a direct variation

if\ y\ \alpha x \ \\y = kx

where k is the constant of proportionality. comparing to equation 1, k = 12π.

Find the graph attached

3 0
3 years ago
50x3 – 20x + 8x ─ 21x3 – 3x + 15x ─29 x3
snow_tiger [21]

Answer:

0

General Formulas and Concepts:

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

50x³ -20x + 8x - 21x³ - 3x + 15x - 29x³

<u>Step 2: Simplify</u>

  1. Combine like terms (x³):                    -20x + 8x - 3x + 15x
  2. Combine like terms (x):                     0
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