The graph is shown below:
<h3>What is Graph?</h3>
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
h(t) = -16t² + 72
For t=-1,
h(-1) = -16 * (-1)² +72
h(-1) = -16 +72= 56
Ordered pair is ( -1, 56)
For t=1,
h(1) = -16 * (1)² +72
h(1) = -16 +72= 56
Ordered pair is ( 1, 56 )
For t=2,
h(2) = -16 * (2)² +72
h(2) = -64 +72= 8
Ordered pair is ( 2, 8 )
For t=3,
h(2) = -16 * (3)² +72
h(2) = -144 +72= -72
Ordered pair is ( 3, -72)
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First find the slope of the line DM using the slope formula: .
Use the points D(0, 2) and M(-3, -5). Substitute in -5 for y2, 2 for y1, -3 for x2, and 0 for x1.
, subtract the coordinate points.
= ; the slope of the line DM is 7/3.
Perpendicular lines have opposite reciprocal slopes, meaning you switch the sign (say for example a negative becomes a positive, a positive becomes a negative) and you flip the fraction over (for example 1/2 becomes 2/1 and 2/1 becomes 1/2).
The opposite reciprocal of 7/3 is -3/7, so the line perpendicular to the line DM has a slope of -3/7.
Step-by-step explanation:
b. what is the perimeter of the rectangle in terms of k?
Answer:
A. 7 more than 2 times m.
Step-by-step explanation:
you are adding 7 to the multiplication or 2 and m