31. write the equation of a linear line that is parallel to f(x)= -2x +5 through (-1,4)

Step-by-step explanation:

The equation of the given line is in slope-y_intercept form, so it is easy to see that the slope is "-2".

A parallel line to it should have the same slope. Therefore, it should have the form:

In order to determine the appropriate value of "b", we use the information that should pass through the point (-1,4) on the plane. That is when x = -1, the y-value must be "4".

We include this condition in the tentative equation of the parallel line we found above, and then solve for "b":

Therefore, the equation of the parallel line is:

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation: