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lutik1710 [3]
3 years ago
5

Given the graph of log y=log(2)x. Find the area of the three inscribed rectangles

Mathematics
1 answer:
evablogger [386]3 years ago
8 0

Answer: 6+2log_{2} 6

Step-by-step explanation:

S=s_{1} +s_{2} +s_{3} = 2(h_{1} +h_{2} +h_{3} )

h_{1} = log_{2}2=1

h_{2} = log_{2}4=2

h_{3} = log_{2}6

S = 2(1+2+log_{2}6) = 6+2log_{2}6

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Answer:

22

Step-by-step explanation:

add everything in the parentheses first, then multiply by 1/2  (or divide by 2)

(28 + 7 + 6 + 3) x 1/2 = 44 x 1/2 = 22

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What coordinates best represent the location of point K on the coordinate plane.
Sindrei [870]

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Write the equation of the line passing through points ( -2,-5) and (1,1)
Dennis_Churaev [7]

Answer:

The equation of the line is:

y=2x-1

Step-by-step explanation:

Given the points

  • (-2, -5)
  • (1, 1)

Finding the slope between the points

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:-5\right),\:\left(x_2,\:y_2\right)=\left(1,\:1\right)

m=\frac{1-\left(-5\right)}{1-\left(-2\right)}

m=2

We know the slope-intercept form of the line equation

y=mx+b

where m is the slope and b is the slope-intercept form

substituting the value m=2 and the point (-2, -5) to find the b-intercept

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b = -5+4

b = -1

Now, substituting m=2 and b=-1 in the slope-intercept form to get the equation of a line

y=mx+b

y=2x+(-1)

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Thus, the equation of the line is:

y=2x-1

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2 years ago
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