In order to solve equations like these, you need to move all terms involving the variable on one side, and all the numeric constants on the other side.
To do so, we can add/subtract the same quantity to both sides.
For example, we can add 5.2 to both sides to get
Then, we can add all the terms on the left hand side, and we have
Finally, we can divide both sides by -3.14:
In order to check the solution, we have to plug the value we found for x in the initial equation:
which is clearly true.
Answer:
Step-by-step explanation:
The way to approach this that makes the most sense to a student would be to find out how far from the house the ladder currently is, then add 3 feet to that and do the problem all over again. This is right triangle stuff...Pythagorean's Theorem in particular. The ladder is the hypotenuse, 52 feet long. The height of the rectangle is the distance the ladder is up the side o the house, 48 feet. We plug those into Pythagorean's Theorem and solve for the distance the ladder is from the house:
and
and
so
x = 20. Now if we add the 3 feet that the ladder was pulled away from house, the distance from the base of the ladder to the house is 23 feet, the ladder is still 52 feet long, but what's different is the height of the ladder up the side of the house, our new x:
and
and
so
x = 46.6 feet