Answer:
3
Step-by-step explanation:
1/x=x+3/2x²
By cross-multiplication, we get,
2x²=x(x+3)
2x²=x²+3x
2x²-x²-3x=0
x²-3x=0
x(x-3)=0
x=3
Answer:
The answer would be 257
Step-by-step explanation:
Length (L): L
width (w): (2/3)L
Perimeter (P) = 2L + 2w
290 = 2(L) + 2(2/3)(L)
870 = 6L + 4L
870 = 10L
87 = L
width (w): (2/3)L = (2/3)(87) = 2(29) = 58
Answer: width = 58 ft, length = 87 ft
Answer:
The equation that represents the new path is y=(1/3)x+4
Step-by-step explanation:
step 1
Find the slope of the give line
we have
y=-3x-6
so
the slope m is equal to
m=-3
step 2
Find the slope of the perpendicular line to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal of each other
so
we have
m=-3 -----> slope of the given line
therefore
The slope of the perpendicular line is equal to
m=1/3
step 3
With m=1/3 and the point (-3,3) find the equation of the line
y-y1=m(x-x1)
substitute
y-3=(1/3)(x+3)
y=(1/3)x+1+3
y=(1/3)x+4 -----> equation that represent the new path
