G(x) = -5x + 2.....g(-2)...basically means sub in -2 for x
g(-2) = -5(-2) + 2
g(-2) = 10 + 2
g(-2) = 12 <===
Answer:
m∠3 = 73°
Step-by-step explanation:
Vertical angles are equivalent in measure. Complement angles add up to 90°, so subtract 17° from 90° to get your answer.
The product of 8 and 90 is 720 because 0 x 8 is 0 and 9 x 8 is 72 so when you multiply the two together you get 720.
Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.
m=(y2-y1)/(x2-x1) in this case:
m=(-5-1)/(2-4)
m=-6/-2
m=3
Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:
m1*m2=-1 in this case:
3m=-1
m=-1/3
So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting. The midpoint is simply the average of the coordinates of the endpoints, mathematically:
mp=((x1+x2)/2, (y1+y2)/2), in this case:
mp=((4+2)/2, (1-5)/2)
mp=(6/2, -4/2)
mp=(3,-2)
So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:
y=mx+b, where m=slope and b=y-intercept, and given what we know:
-2=(-1/3)3+b
-2=-3/3+b
-2=-1+b
-1=b
So now we have the complete equation of the perpendicular bisector...
y=-x/3-1 or more neatly in my opinion :P
y=(-x-3)/3
Answer:
its +
Step-by-step explanation:
