I would think that it would be A.... I am an expert but, only in 8th, so I would double check.
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: The lenght of the missing side is 4 cm
Step-by-step explanation:
The correct question is:
<em>The perimeter of the rectangle is 20cm . One side is 6cm. What is the length of the missing side?</em>
So, to answer it we have to apply the next formula:
Perimeter of a rectangle = 2 width + 2 length
Replacing with the values given: (assuming that the side given is the length of the rectangle)
20 = 2(6) + 2x
Solving for x:
20 =12 +2x
20-12 =2x
8 =2x
8/2 =x
4=x
The length of the missing side is 4 cm
Feel free to ask for more if needed or if you did not understand something.
Answer:
<em>A growth present such that the change in slope itself differs by the multiplication of a constant</em>
Step-by-step explanation:
<em>* Definition: </em><em>A growth present such that the change in slope itself differs by the multiplication of a constant </em><em>*</em>
Step-by-step explanation:
-2 x 3/7 = (-2 x 3) /7
= -6/7
