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Schach [20]
3 years ago
11

Simply (2k-9)^2+(k+2)^2=(2k+1)^2+(k-8)^2

Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

The square of a binomial expands as follows:

(a+b)^2=a^2+2ab+b^2

Expanding all the binomials, we have

4k^2-36k+81+k^2+4k+4=4k^2+4k+1+k^2-16k+64

Sum like terms:

5k^2-32k+85=5k^2-12k+65

Simplify terms appearing on both sides:

-32k+85=-12k+65

Move all terms involving k to the left and all numbers to the right:

-20k=-20

Divide both sides by -20:

k=1

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I need question 3 only
dsp73

Answer:

  • table: 14, 16, 18
  • equation: P = 2n +12

Step-by-step explanation:

Perimeter values will be ...

rectangles . . . perimeter

  1 . . . 14

  2 . . . 16

  3 . . . 18

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The perimeter of a figure is twice the sum of the length and width. Here, the length is a constant 6. The width is n, the number of rectangles. So, the perimeter is ...

  P = 2(6 +n) = 12 +2n

Your equation is ...

  P = 2n +12 . . . . . . . . perimeter P of figure with n rectangles.

_____

<em>Additional comment</em>

You may be expected to write the equation using y and x for the perimeter and the number of rectangles. That would be ...

  y = 2x +12 . . . . . . . . . perimeter y of figure with x rectangles

4 0
2 years ago
F(x)+2x^2-4x-3 g(x)=2x^2-16 find f(x)+g(x)
AveGali [126]
F(x) = 2x^2 - 4x - 3
g(x) = 2x^2 - 16

f(x) + g(x)
2x^2 - 4x - 3 + 2x^2 - 16
4x^2 - 4x - 19
3 0
3 years ago
Which overlapping triangles are congruent by ASA?
Elena-2011 [213]

Answer:

D. ADC EBC

Step-by-step explanation:

cb & cd have that little line showing they're the same

5 0
3 years ago
Read 2 more answers
What is the answer <br> 6*6^2
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The answer is 6^3 luvvvv
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The point (1,4) is reflected over the y-axis and the image point is then translated 4 units to the right. What are the coordinat
irinina [24]

Answer:

(-4,1) then becomes (0,1)

Step-by-step explanation:

Simply reflections. There are formulas for that.

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