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.
Answer:
Step-by-step explanation:
-3x+10=21
-3x=21-10
-3x=11
x=11/-3
x=- 11/3
Answer:B
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
the area of white board = (2×12) ×4 = 96 sq in.
the area of post-it = 2×2 = 4 sq in
so, numbers of post-it = 96/4 = 24
Reflectional symmetry<span> is also called bilateral, line </span>symmetry<span> or mirror </span>symmetry. It occurs when a line is drawn to divide a shape in halves so that each half is areflection<span> of the other. Some shapes or objects, such as circles, squares and triangles, have one or more lines of </span>symmetry<span>. Mark as brainliest if u can thanks</span>
