Answer: y=-2x-8
Step-by-step explanation:
Parallel lines need to have the same slopes but different y-intercept.
y=-2x -9 is parallel to y=-2x - 8
The extraneous solution of startroot 4 x 41 endroot = x 5 will be A. -8.
<h3>What is an extraneous solution?</h3>
It should be noted that an extraneous solution simply means a root of a transformed equation which isn't part of the original equation.
✓4x + 41 = x + 5
Square both sides
4x + 41 = x² + 10x + 25
x² + 6x - 16
x(x + 8) - 2(x + 8) = 0
x + 8 = 0
x= 0 + 8 = 8
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Answer:
26 2/3 minutes: The two boys meet after 26 2/3 minutes
Step-by-step explanation:
Distance covered by Jim = Distance covered by Bob
(5 mph)(t) = (8 mph)(t - 10)
Simplify this by performing the indicated multiplication:
(5 mph)(t) = (8 mph)(t) - 80 mi
or:
80 mi = (3 mph)(t), or
80 mi
t = ----------- = 26 2/3 minutes
3 mph
is a right triangle with base length 1 and height 8, so the area of
is
.
The average value of
over
is given by the ratio
The denominator is just the area of
, which we already know. The average value is then simplified to
In the
-plane, we can describe the region
as all points
that lie between the lines
and
(the lines which coincide with the triangle's base and hypotenuse, respectively), taking
. So, the integral is given by, and evaluates to,
