Answer:
412.3 feet
Step-by-step explanation:
A canoe rental shop is being built near a river. An equation of the line representing the river is y=1/4x+8. Each unit in the coordinate plane corresponds to 100 feet. Approximately how far is the canoe rental shop from the river? Round your answer to the nearest whole foot. The rental shop is at (-3,3).
Solution:
The distance between a point and a line is the perpendicular distance. The perpendicular distance is the shortest distance between the point and the line.
Given a point (
) and a line with the equation Ax + By + C = 0, the perpendicular distance (d) is given as:
Given the equation of the line y = 1/4 x + 8
y - 1/4 x - 8 = 0
Therefore A = -1/4, B = 1 and C = -8
The point is (-3,3), therefore 
<span><span>2/5</span>−<span>1/4
</span></span><span>=<span><span>2/5</span>−<span>1/4
</span></span></span><span>=<span><span>2/5</span>+<span><span>−1/</span>4
</span></span></span><span>=<span><span>8/20</span>+<span><span>−5/</span>20
</span></span></span><span>=<span><span>8+<span>−5/</span></span>20
</span></span><span><span>=<span>3/20</span></span><span>(Decimal: 0.15)</span></span>
Hi !! the correct answer would be the last option, due to the fact that -2 and 2 both have the same absolute value, hope it helps !! :]
Answer:
The height of the football after 4 seconds is 80 feet.
Step-by-step explanation:
You know that the height (in feet) of punted football is a function of the time the ball is in the air and it is defined by:
h(t) = -7*t²+48*t
To calculate the height of the ball after 4 seconds, you must replace the time t by the time of 4 seconds:
h(4) = -7*4²+48*4
Solving, you get:
h(4) = -7*16+48*4
h(4) = -112+192
h(4)= 80
<u><em>The height of the football after 4 seconds is 80 feet.</em></u>
Answer:
1= 2/2= 6=6
Step-by-step explanation:
It because 2 go in to 2 and 6 go in to 6 you can find this by dividing it. If you divide 2 by 2 it 1 and 6 divide by 6 is 1.
