Answer:
22 :))))
Step-by-step explanation:
The simplest form of the given algebraic expression √(250c³/9d⁶) is; 5c * (√10c)]/3d³
<h3>How to simplify algebra problems?</h3>
We are given the algebra problems as;
√(250c³/9d⁶)
Now 250c³ can be broken down into 250 = 25c² × 10c
Thus, we now have;
√(250c³/9d⁶) = [√(25c²) * (√10c)]/√9d⁶
When we breakdown the above expression, we have;
5c * (√10c)]/3d³
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We have that
<span>Consider the graph of the line y = x – 4 and the point (−4, 2).
part 1)</span><span>The slope of a line parallel to the given line is
the slope m of the given line
y=x-4-----> y=(1)*x-4
is m=1
the answer Part 1) ism=1Part 2) </span><span>A point on the line parallel to the given line, passing through (−4, 2)
the slope m=1
y-y1=m*(x-x1)------> y-2=(1)*(x+4)-----> y=x+4+2------> y=x+6
the answer Part 2) isy=x+6part 3) </span><span>The slope of a line perpendicular to the given line is .
we know that
when two lines are </span>perpendicular
m1*m2=-1
m1=1
m2=-1
the answer part 3) ism=-1Part 4) <span>A point on the line perpendicular to the given line, passing through (−4, 2), is
</span>the slope m=-1
y-y1=m*(x-x1)------> y-2=(-1)*(x+4)-----> y=-x-4+2------> y=-x-2
<span>
the answer Part 4) isy=-x-2see the attached figure</span>
Varies directly basically means a multiple of
y = kx
where "k" is the constant of variation. You must solve for this first using the given information.
8 = 42k
8/42 = k
0.19= k
Equation: y = 0.19x
when x = 126
y = 0.19(126)
y = 24