Any tangent line to
at a point
will have slope
. Such a line has equation
For this (these) line(s) to pass through (2, -3), you must have
So the two lines in questions are
for these values of
.
To show there is no tangent line that passes through (2, 7), you have to show there is no solution for
in
You have
but this has no real solutions, so no such tangent line exists.
(8/9) / (1/4) =
8/9 * 4/1 =
32 / 9 =
3 5/9 ........she can make 3 5/9 one-fourth cup servings
Answer:
1m 54cm
Step-by-step explanation:
10 students at 1m 40cm
15 students at 1m 58cm
13 students at 1m 60cm
Keep in mind that ratio between cm to m is 1cm/0.01m.
So let find the average by converting cm to m first for the 38 students.
10 students: 1m + (40cm)(0.01m/1cm) => 1.4 m
15 students: 1m + 58cm(0.01m/1cm) => 1.58 m
13 students: 1m 60cm(0.01m/1cm) => 1.60 m
so the average is weighted:
(10*1.4 +15*1.58 + 13(1.6))/38
Therefore the average model height is 1.54 m or 1m 54cm
Please be more specific and what are the measurements as in height and radius or diameter.