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EastWind [94]
3 years ago
10

Please help, no one is helping points are 20 for this so help i need to know asap

Mathematics
2 answers:
Tpy6a [65]3 years ago
8 0

Answer:

It's first term is - 6. Fifth term is 6

Sergeeva-Olga [200]3 years ago
8 0

First term: -6, Fifth term: 6

Step-by-step explanation:

First term:

  • Write the equation.
  • 3n -9
  • Subsitute the value of the term you need to find
  • 3(1) - 9
  • Solve
  • 3 - 9
  • = -6

Fifth term:

  • Write the equation.
  • 3n - 9
  • Subsitute the value of the term you need to find
  • 3(5) - 9
  • Solve
  • 15 - 9
  • = 6
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Write various of the equation of a line that passes through (-6, 3) and has a slope of - 1/3
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Answer:

\large\boxed{y-3=-\dfrac{1}{3}(x+6)-\text{point-slope form}}\\\boxed{y=-\dfrac{1}{3}x+1-\text{slope-intercept form}}\\\boxed{x+3y=3-\text{standard form}}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

We have

m=-\dfrac{1}{3},\ (-6,\ 3)\to x_1=-6,\ y_1=3

Substitute:

y-3=-\dfrac{1}{3}(x-(-6))\\\\y-3=-\dfrac{1}{3}(x+6)

Convert to the slope-intercept form

y=mx+b

y-3=-\dfrac{1}{3}(x+6)           <em>use the distributive property</em>

y-3=-\dfrac{1}{3}x-2           <em>add 3 to both sides</em>

y=-\dfrac{1}{3}x+1

Convert to the standard form

Ax+By=C

y=-\dfrac{1}{3}x+1           <em>multiply both sides by 3</em>

3y=-x+3             <em>add x to both sides</em>

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Answer:

<em>1+√3</em>

Step-by-step explanation:

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DC = 4/tan 30

DC = 4/(1/√3)

DC = 4√3

AC = 4 + 4√3

AC = 4(1+√3)

Get the Area of the triangle

<em>Area = 1/2 * 4 *  4(1+√3)</em>

<em>Area of the triangle = 1+√3</em>

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