Let 
be the two numbers. We have two pieces of information:
(the difference between the two numbers is 2)
(their product is 224)
From the first equation, we can deduce 
If we plug this expression in the second equation, we have
If you solve this equation with the usual quadratic formula you get the solutions
So, you have the following couple of solutions, recalling that x is 2 more than y:
Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)
C. (x + 2)(x + 1)
it can be turned into an equation :)
Answer:
(x, y) --> (x + 4, y - 3)
Step-by-step explanation:
The x value concerns left and right, while the y value concerns up and down. Adding to x makes it move right, and adding to y makes it move up.
Answer:
Y=-5x-46.
Step-by-step explanation:
-5 is the slope, so Y=-5x+b. If you plug in (-8,-6), you get -6=40+b, so b has to be -46 for that to be true, I think.
