Graph the line that passes through the points (-3, -5) and (−3,−3) and determine the equation of the line.
1 answer:
The equation of the line passing through the points (-3, -5) and (−3,−3) is x = -3.
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more numbers and variables.
The standard equation of a line is:
y = mx + b
Where m is the rate of change (slope) and b is the y intercept.
The line passing through the points (-3, -5) and (−3,−3) is graphed using geogebra.
The equation of the line passing through the points (-3, -5) and (−3,−3) is x = -3.
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Answer:
(a) 7.5 seconds
(b) The horizontal distance the package travel during its descent is 1737.8 ft
Step-by-step explanation:
(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀
The initial height of the object s₀ = 900 feet
The initial vertical velocity of the object v₀ = 0 m/s
The time it takes the package to strike the ground is found as follows;
0 = -16·t² + 0×t + 900
900 = 16·t²
t² = 900/16 = 62.25
t = √62.25 = 7.5 seconds
(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have
158 miles/hour = 231.7126 ft/s
The horizontal distance the package covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place
The horizontal distance the package travel during its descent = 1737.8 ft.