Answer:
b
Step-by-step explanation:
Answer:
1 quarter pound = 0.25 of a pound.
Give that:
Total amount of ground beef = pound
From 3.5 pound of beef we have to make burgers using 0.25 pound of beef in one burger
We have to find how many burgers can be made:
We have to divide 3.5 pound by 0.25 pound
i.e,
⇒14 quarter pounds burger can be made.
Therefore, 14 quarter pound burgers can George make out of 3 1/2 pounds of ground beef
Step-by-step explanation:
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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.
