Find the x-y intercepts of the graph 3x+2y=12
2 answers:
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Answer:
The balloon will not reach 2,500 feet after 4 minutes.
Step-by-step explanation:
The equation of the line in the point-slope form is
A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is
After minutes, the balloon is at an altitude of
feet. This means, the line passes through the point (1.5, 2,150).
Substitute the slope and point coordinates into the equation:
We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:
Now, find the height after 4 minutes:
Thus, the balloon will reach only 2,450 feet after 4 minutes.
Answer:
1. Use a compass to make arc marks which intersect above and below then connect.
2.
Step-by-step explanation:
1. To construct a perpendicular line, use a compass to draw arc marks from one end of the segment through point P. Then repeat this again at the other end. This means at point P there will be two intersecting arc marks. Repeat the process down below with the same radius as used above. Then connect the two intersections.
2. The point slope form of a line is where
. We write
Since the line is to be perpendicular to the line shown it will have the negative reciprocal to the slope of the function 3x+y =-8. To find m, rearrange the function to be y=-8-3x. The slope is -3 and the negative reciprocal will be 1/3.
Simplify for slope intercept form.