Answer:
5 units
Step-by-step explanation:
3x + 4y = 8
4y = -3x+8
y = -3/4+2
The shortest distance between a point and a line is the perpendicular line.
Slope of the perpendicular line: 4/3 and point (-3,-2)
b = -2-(4/3)(-3) = 2
Equation of the perpendicular line: y=4/3x+2
y is equal y
4/3x+2= -3/4x+2
4/3x +3/4x = 2-2
x = 0
Plug x=0 into one of the equations to find y
y = 4/3(0) + 2
y = 2
(0,2) and (-3,-2)
Distance = sqrt [(-3-0)^2 + (-2-2)^2]
Sqrt (-3)^2+ (-4)^2
Sqrt 25 = 5
Step-by-step explanation:
Let's represent the two integers with the variables
and
.
From the problem statement, we can create the following two equations:


With the first equation, we can subtract
from both sides to isolate the
variable to the left-hand side:

Now that we have a value for
, we can plug it into the second equation and solve for
:


Now, let's move everything to one side of the equation:

Factoring this quadratic will give us two values for
:


Since we now know
, we can plug this back into either of the original equations to get a value for
, which will be
.
So the two numbers that sum to
and have a product of
are
.
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