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WARRIOR [948]
3 years ago
9

Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (

3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. What is the perimeter of the triangle if x = 4?
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
7 0

3(4^2) + 3(4) - 20

3(16) +12 - 20

48 - 8

=40

The perimeter is 40 feet

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The problem is in the picture.
Semmy [17]

Answer:

  • an = 5 + 10(n -1)
  • a7 = 65

Step-by-step explanation:

The explicit formula for the n-th term of an arithmetic sequence is ...

  an = a1 + d(n -1)

where a1 is the first term and d is the common difference.

The sequence of seat counts has a1=5 and d=10, so the explicit formula is ...

  an = 5 +10(n -1)

___

The 7th term is ...

  a7 = 5 +10(7 -1) = 65

5 0
3 years ago
Suppose y varies directly with x. If y = -4 when x = 8, what is the equation of direct variation?
tresset_1 [31]

\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that }~~ \begin{cases} y=-4\\ x=8 \end{cases}\implies -4=k(8)\implies \cfrac{-4}{8}=k\implies -\cfrac{1}{2}=k \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-\cfrac{1}{2}x~\hfill

8 0
3 years ago
Read 2 more answers
Line ab contains the points a(-2,3) and b(4,5). Line ab has a slope that is
gayaneshka [121]

Given two points A = (A_x, A_y),\ B = (B_x,B_y), the slope of the line passing through the two points is

m = \dfrac{A_y-B_y}{A_x-B_x}

So, in your case, you have

m = \dfrac{3-5}{-2-4} = \dfrac{-2}{-6} = \dfrac{1}{3}

5 0
3 years ago
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Olenka [21]

Answer:

Below in bold.

Step-by-step explanation:

A.This is the number of combinations of 6 from 15

= 15C6

=  15! / (15-6)! 6!

= 5,005 ways.

B.  This is the number of permutaions of 6 from 15:

= 15! / (15-6)!

= 3,603,600 ways.

7 0
3 years ago
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Marina86 [1]

Step-by-step explanation:

If you want the "root" of the equation...

First get y by itself on one side. You should get y = - x - 8.

Notice that this is the equation of a straight line.

Then let y = 0, and solve for x. You should get x = -8.

So the solution or "root" of the equation is at the point (-8,0)

6 0
3 years ago
Read 2 more answers
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