Answer: 128/15 min or 8.5 min
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Answer:
elflaerkhg/lndfklnds/lfknas.dgsnf.raekjhg.re;ihnvdltnh45
Step-by-step explanation:
yeah <3
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:
A <u>rational number</u> is a number that can be expressed as a fraction (the ratio of two integers).
<u>Integer</u>: A whole number that can be positive, negative, or zero.
To calculate if each radical can be expressed as a rational number, convert the decimals into rational numbers, then simplify:
Therefore, 
is not a rational number.
Answer:
6. -200+75= -125
7. -40+-17= -57
8. 6+-9= -3+7=4+-5= -1
5+3=8+-6= 2
11+-12= -1+-3= -4+4=0
Correct answer: Cory goes first
Step-by-step explanation:
