Answer:
Step-by-step explanation:
Factor the equation:
Rewrite to suit the format of multiplying two fractions. Remember, dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second. A reciprocal of a fraction is when one switches the place of the numerator and the denominator, that is, the value on top (numerator), and the value on the bottom (denominator).
Simplify, take out common terms that are found on both the numerator and denominator
Answer:
Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produce similar figures
If two lines are similar, then the lines are parallel
Lines parallel have the same slope
so
we have
Line A
isolate the variable y
----> equation A
The slope of the line A is m=0.5
The y-intercept of the line A is b=4
Line B
isolate the variable y
----> equation B
The slope of the line B is m=0.5
The y-intercept of the line B is b=2
Remember that
The y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B
so
solve for k
If the slope of line C is -4, the slope of line D, which is perpendicular to C, is the negative reciprocal of the slope of C: -( 1 / (-4) ), or +1/4.
Note how 1/4 is the native reciprocal of -4, and that -4 is the negative reciprocal of 1/4.
The slope of line D is 1/4.