A new car is purchased for $49,000 and over time its value depreciates by one half
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Consider angle XZY in the attached figure. It is always 1/2 the measure of arc XY, no matter where Z may be located on the major arc XZY. This is true even when ZY is very short.
Now, consider what happens when Z falls on top of tangent point Y. The angle is still half the measure of arc XY, still 62°.
Selection C is appropriate.
_____
I apologize for any confusion caused by my choice of Z as the name of the point I added. Nothing in my explanation is intended to refer to the Z already shown in the unmodified figure.
Now, consider what happens when Z falls on top of tangent point Y. The angle is still half the measure of arc XY, still 62°.
Selection C is appropriate.
_____
I apologize for any confusion caused by my choice of Z as the name of the point I added. Nothing in my explanation is intended to refer to the Z already shown in the unmodified figure.
ANSWER
EXPLANATION
The required equation passes through:
(4,3) and is perpendicular to x+y=4.
Rewrite the given equation in slope-intercept form:
The slope of this line is -1.
The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.
The equation of the line can be found using:
We substitute the slope and point to obtain:
We simplify to get:
The required equation is
EXPLANATION
The required equation passes through:
(4,3) and is perpendicular to x+y=4.
Rewrite the given equation in slope-intercept form:
The slope of this line is -1.
The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.
The equation of the line can be found using:
We substitute the slope and point to obtain:
We simplify to get:
The required equation is