Sarah used her calculator to find tan(122˚) she wrote down an answer of 0.34. how could sarah recognize that her answer is incorrect

Hello from MrBillDoesMath!

The angle 122 is in the second quadrant where sin is positive and cos is negative. Hence the ratio sin\cos (aka tan) should be a negative number. But 0.34 is positive so something is incorrect.

Thank you,

MrB

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

yes.. it's proven to be 36.