A pair of linear equations is shown below:
2 answers:
Answer:
<em>A. the first line has y-intercept = 5 and slope = -3, </em>
<em>and the second line has y-intercept = 2 and slope = 1.</em>
Explanation:
The given pair of lines are as follows,
The general slope-intercept form of straight line is,
where,
m = slope of the line
c = y-intercept
Comparing this with the line equations,
slope of 1st line = -3, y-intercept of 1st line = 5
slope of 2nd line = 1, y-intercept of 2nd line = 2
*The point of intersection is attached below.
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Answer:
Step-by-step explanation:
You need to remember the mulplication of signs:
Knowing this, you can distributive the negative sign. Then you get:
Now you need to add the like terms. Then:
Finally, you can order the polynomial obtained in descending order. Therefore, the answer is:
Using Pythagoras theorem, the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.
Let distance from the wall to the foot of the ladder is 'x' feet and the height of the top of the ladder is 'y' feet.
Pythagoras theorem, --->(1)
Given, at x=3
Put x=3 in Pythagoras theorem equation (1)
= 135
y = 11.61
Derive equation (1) w.r.t to 't'
---->(2)
substitute the value of 'x', 'dx/dt' and 'y' in equation (2), we get the fast of the top of the ladder moving down when the foot of the ladder is 3 feet from the wall
12 + 23.22 = 0
Hence, using Pythagoras theorem the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.
Learn more about Pythagoras theorem here
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