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goldenfox [79]
3 years ago
10

Which equations represent the line that is perpendicular to the line 5x - 2y = -6 and passes through the point

Mathematics
1 answer:
Vinvika [58]3 years ago
6 0

<u>Answer</u>

See below

Step-by-step explanation:

The given line has equation

5x - 2y =  - 6

The slope intercept form is

y =  \frac{5}{2} x + 3

The slope of this line is

m = \frac{5}{2}

The line perpendicular to this line has slope

-  \frac{2}{5}

If this line passes through (5,-4), the point-slope form is

y + 4 =  -  \frac{2}{5} (x  - 5)

The slope-intercept form is

y =  -  \frac{2}{5} x- 2

The standard form is

2x+5y=-10

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Answer:

A(-1,4)\to A''(-1,-1)

B(0,2)\to B''(1,0)

C(1,2)\to C''(1,1)

D(-2,4)\to D''(-1,2)

Step-by-step explanation:

The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).

The transformation rule for 90° counterclockwise rotation is

(x,y)\to(-y,x)

This implies that:

A(-1,4)\to A'(-4,-1)

B(0,2)\to B'(-2,0)

C(1,2)\to C'(-2,1)

D(2,4)\to D'(-4,2)

This is followed by a translation 3 units to the right.

This also has the rule: (x,y)\to (x+3,y)

A'(-4,-1)\to A''(-1,-1)

B'(-2,0)\to B''(1,0)

C'(-2,1)\to C''(1,1)

D'(-4,2)\to D''(-1,2)

Therefore:

A(-1,4)\to A''(-1,-1)

B(0,2)\to B''(1,0)

C(1,2)\to C''(1,1)

D(-2,4)\to D''(-1,2)

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What's the difference between partial variation and direct variation​
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Explanation:

This is a simple way to see the difference between them.

<em>Hope This help you!</em>

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Answer:

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