If a +5 = b + 3 and a + 5 = 12, then b +3=
1 answer:
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For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It is the slope
b: It is the cut point with the y axis
We have the following equation:
Thus, the cut point with the y axis is -8. Therefore, we discard options C and B.
It is observed that the slope is positive so the correct graph is option B.
Answer:
Option B
Answer:
The angle is in the second quadrant.
Step-by-step explanation:
The cosecant of an angle is the same as the reciprocal of the sine of that angle. In other words, as long as ,
.
Therefore, is equivalent to
.
Consider a unit circle centered at the origin. If the terminal side of angle intersects the unit circle at point
, then
, and
.
For angle ,
, meaning that the intersection is to the left of the
-axis.
, meaning that the intersection is above the
-axis.
In other words, this intersection is above and to the left of the origin. That corresponds to second quadrant of the cartesian plane.