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1 year ago

Identify the composition that is represented by: r (90, 0) T(−2,4)

Mathematics

2 answers:

castortr0y [4]1 year ago

7 0

Answer: left 2

Step-by-step explanation:

Pepsi [2]1 year ago

3 0

The composition of the transformation is (b) A rotation of 90° and then a translation left 2, up 4.

<h3>How to determine the transformation?</h3>

The transformation rule is given as:

r (90, 0) T(−2,4)

The r(90,0) represents a rotation of 90 degrees.

The other part of the transformation rule can be rewritten as:

T(-2,4) => (x - 2,y + 4)

This means a translation right by 2 units and up by 4 units

Hence, the composition of the transformation is (b)

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Write the equation of a line perpendicular to y=3x+1and goes through the point ( 6,2) y=−13x+4 y=−13x−4 y=3x+4 y=3x−4

Korolek [52]

Answer:

$y=-\frac{1}{3}x+4$

Step-by-step explanation:

step 1

Find the slope of the perpendicular line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal

(the product of their slopes is equal to -1)

In this problem

we have

$y=3x+1$

The equation of the given line is $m=3$

the slope of the perpendicular line to the given line is

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step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{3}$

$(x1,y1)=(6,2)$

substitute

$y-2=-\frac{1}{3}(x-6)$

Convert to slope intercept form

$y=mx+b$

Distribute right side

$y-2=-\frac{1}{3}x+2$

$y=-\frac{1}{3}x+2+2$

$y=-\frac{1}{3}x+4$

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