Lines c and d are perpendicular. if the slope of line c is -4, what is the slope of line d?
1 answer:
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Answer: Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .
Step-by-step explanation:
Since the triangles are similar, the ratio of their sides are equal.
And we can count the number of blocks over which AC and A'C' is drawn and take them to be their length,
Therefore,
AC = 16
A'C'= 8
Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .
Measuring the tans of the angles by taking the ratio of opposite by adjacent, we get,
tanA =
tanA'=
which means tanA= tanA'
The angles do not change.
Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .
Answer:
<h2>Step-by-step explanation:
Solve the equation for y by moving 'x' to R.H.S and changing its sign
Substitute the given value of y into the equation 5x + y = 28
Solve the equation for x
Collect like terms
Move constant to R.H.S and change its sign
Subtract the numbers
Divide both sides of the equation by 4
Calculate
Reduce the numbers with 2
Now, substitute the given value of x into the equation y = 2 - x
Solve the equation for y
The possible solution of the system is the ordered pair ( x , y )
<h2>-------------------------------------------------------------
Let's check if the given ordered pair is the solution of the system of equation:
plug the value of x and y in both equation
Simplify the equalities
Since , all of the equalities are true, the ordered pair is the solution of the system.
Hope this helps....
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