Answer:
35
Step-by-step explanation:
You have to work backwards, you find what 25-18 is (7)
7 is a fifth of the number you are looking for
so all you have to do is 7 x 5 and you get 35
Expanding the parentheses:-
-6x + 30 = -6x + 13
+6x + 6x
30 = 13
which is obviously absurd so the answer is No Solution.
Answer: x = 12 ft
Step-by-step explanation:
let the erect part of the pole be x
the slanted part of the pole will be 25-x
the ground distance = 5
they form a right triangle
apply Pythagoras theorem
5^2+x^2=(25-x)^2
25+x^2=x^2 - 50x + 625
50x=625-25
50x=600
x=600/50
x=12 feet
The answer to a "sum and difference" problem is that the larger number is the average of those given: (43 +15)/2 = 29.
The smaller number can be computed any of several ways, but subtracting the difference works: 29 -15 = 14
The larger number is 29.
The smaller number is 14.
_____
You can let the numbers be a and b, and let the sum and difference be s and d. Then you have
.. a + b = s
.. a - b = d
Add these two equations, and you find "b" is eliminated:
.. 2a = s + d
.. a = (s + d)/2 . . . . . . the average of the sum and difference
.. b = a - d . . . . . . . . . from the second equation
This solution is generic. Even if you have to "show work" on such a problem, you can use this known result to check your work.
I believe the slope intercept form would be: y=3x-2
