Answer:
-20
Step-by-step explanation:
y = -3x+1
if the input is 7, it means x=7 so substitute in the equation
y= -3*7+1 = -21+1= -20 which is the output
Your function will be 24=X+(Y+5)
to solve you subtract 5 from each side giving you 19=X+Y now you divide the 19 by 2 so you figure out the base integers giving you 9.5
now you add 5 to one of your integers meaning 9.5+5=14.5
so your integers are 9.5 and 14.5
to check this you do 14.5-9.5 which equal 5 now you do 14.5+9.5 which equals 24
Answer: -1
Step-by-step explanation:
You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°
Tangent is equal to , we already solved theta which was 135°
This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:
Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.
The final step is to divide them. They are both fractions so you should multiply by the reciprocal.