25 > 2x + 8 - 66
first simplify all numbers
25 > 2x + (8 - 66)
25 > 2x - 58
Then add 58 to both sides
25 (+58) > 2x - 58 (+58)
83 > 2x
Finally divide 2 from both sides to isolate the x
83/2 > 2x/2
41.5 > x
hope this helps
Idk hi what’s up with y’all and josh
frankly yes, because when you want inverse a function you must inverse it with line x=y
so when you inverse a function Df and Rf will convert together!
Answer: Thats technically a rhombus, but since thats not an option its a parallelogram
Step-by-step explanation:
Answer Is C.
Slope of line = tan(120) = -tan(60) = - √3
Distance from origin = 8
Let equation be Ax+By+C=0
then -A/B=-√3, or
B=A/√3.
Equation becomes
Ax+(A/√3)y+C=0
Knowing that line is 8 units from origin, apply distance formula
8=abs((Ax+(A/√3)y+C)/sqrt(A^2+(A/√3)^2))
Substitute coordinates of origin (x,y)=(0,0) =>
8=abs(C/sqrt(A^2+A^2/3))
Let A=1 (or any other arbitrary finite value)
solve for positive solution of C
8=C/√(4/3) => C=8*2/√3 = (16/3)√3
Therefore one solution is
x+(1/√3)+(16/3)√3=0
or equivalently
√3 x + y + 16 = 0
Check:
slope = -1/√3 .....ok
distance from origin
= (√3 * 0 + 0 + 16)/(sqrt(√3)^2+1^2)
=16/2
=8 ok.
Similarly C=-16 will satisfy the given conditions.
Answer The required equations are
√3 x + y = ± 16
in standard form.
You can conveniently convert to point-slope form if you wish.
