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yuradex [85]
3 years ago
11

How and where did Algebra get its beginning? Why was it developed in this time and place?

Mathematics
2 answers:
Natasha2012 [34]3 years ago
8 0
Algebra emerged at the end of the 16th century in Europe.

Alchen [17]3 years ago
6 0
At the end of 16 century
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Please help solve this question. Thanks
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Answer:

A = -y^2 + 18

y = 9 + (81 - x)^(1/2) and y =9 - (18 - x) ^(1/2)


Step-by-step explanation:

Given:

P = 2 ( l + w)

x = length and y = width

P = 2 (x + y)

36/2 = x + y

x + y = 18

x = 18 - y


<u>Area:</u>

A = x * y

A = (18 - y) * y

A = 18y - y^2

Using quadratic formula (<u>solve for y</u>):

y = 9 + (81 - x)^(1/2) and y =9 - (18 - x) ^(1/2)


<em>//Not sure it's right.</em>


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4 years ago
On number 26 I need help getting started
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A student wants to construct the inscribed circle of a triangle. What is the first step she should take?
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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)
LenaWriter [7]

Answer:

The slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

  • (-1, -2)
  • (3, 4)

Determining the slope between (-1, -2) and (3, 4)

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

\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)

m=\frac{4-\left(-2\right)}{3-\left(-1\right)}

m=\frac{3}{2}

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

4=\frac{3}{2}\left(3\right)+b

switch sides

\frac{3}{2}\left(3\right)+b=4

\frac{9}{2}+b=4

subtract 9/2 from both sides

\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}

b=-\frac{1}{2}

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)

y=\:\frac{3}{2}x\:-\frac{1}{2}

Therefore, the slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}
8 0
3 years ago
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