Segment in the direction from A to C
Initial Point: A=(9,5)=(xa,ya)→xi=xa=9, yi=ya=5
Final point: C=(-7,1)=(xc,yc)→xf=xc=-7, yf=yc=1
B=(xb,yb)=?
Proportion: r=AB/BC=3:1=3/1→r=3
xb=(xi+r*xf)/(1+r)
Replacing xi=xa=9, xf=xc=-7 and r=3
xb=[9+3*(-7)]/(1+3)
xb=(9-21)/4
xb=(-12)/4
xb=-3
yb=(yi+r*yf)/(1+r)
Replacing yi=ya=5, yf=yc=1 and r=3
yb=[5+3*(1)]/(1+3)
yb=(5+3)/4
yb=8/4
yb=2
B=(xb,yb)→B=(-3,2)
Answer: B=(-3,2)
Answer:
7
Step-by-step explanation:
Property of addition:
-2 = 2x - 16
again
14 = 2x
property of division
7 = x
x = 7
For this use the law of sines:
cross-multiply:
16×sin (J) = 11×0.97
sin(J) = 10.72/16
sin(J) = 0.67
hit the "arcsin" button on your calculator:
therefore answer B. 42 is the correct answer!!
Answer:
<u>(0, - 6)</u>
Step-by-step explanation:
<u>Midpoint Formula</u>
- M = (x₁ + x₂ / 2, y₁ + y₂ / 2)
<u>Solving</u>
- M = (-3 + 3 / 2, -7 - 5 / 2)
- M = (0, -12/2)
- M = <u>(0, - 6)</u>
As i said before put the center instead of (h,k) in the general formula and put r=1
so (x-(-2))^2 + (y-(-5)^2 = 1
(x+2)^2 + (y+5)^2 = 1
