32.2 km corresponds to 20 miles.
Explain your reasoning.
SOLUTION:
c. 0; because this is the point on the graph where the
a. The two ordered pairs which represent the number
x-value and the y-value are the same.
2-4 Writing Linear Equations
of miles and its distance in kilometers are (100, 161)
and (50, 80.5).
37. REASONING Determine whether the following
and
Substitute
statement is always, sometimes, or never true.
in the slope formula
Explain your reasoning.
The quadrilateral formed by any two parallel
.
lines and two lines perpendicular to those lines is
a square.
SOLUTION:
Sample answer: Sometimes; while the two sets of
parallel and perpendicular lines will always form a
quadrilateral with four 90º angles, that figure will
always be a rectangle, but not necessarily a square.
38. CHALLENGE Given
with vertices A(a,
in the
Substitute m = 1.61 and
b), B(c – a, d), C(c + a, d), and D(c, b), write an
point slope form
equation of a line perpendicular to diagonal
that
contains A.
.
SOLUTION:
Substitute
and
in
the slope formula
.
is
Thus, slope of diagonal
.
b. Substitute x = 20 in the equation
is
Slope of the line perpendicular to the diagonal
y = 1.61x.
.
Substitute m =
and
in the point
32.2 km corresponds to 20 miles.
slope form
c. 0; because this is the point on the graph where the
.
x-value and the y-value are the same.
37. REASONING Determine whether the following
statement is always, sometimes, or never true.
Explain your reasoning.
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The quadrilateral formed by any two parallel
lines and two lines perpendicular to those lines is
a square.