Answer:
The equation of the line is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given
now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation



Therefore, the equation of the line is:
Answer:
-1.123m+0.3
or in fraction form -9/8m+3/10
Step-by-step explanation:
first you subtract 7/8 from 2
then you subtract again 9/10 from 3/5

Substitute
, so that
, and

which is separable as

Integrate both sides with respect to
. For the integral on the left, first split into partial fractions:



Solve for
:






Replace
and solve for
:


Now use the given initial condition to solve for
:

so that the particular solution is

Answer:
a=10, b=5, c=2, d=12
Step-by-step explanation:
Multiply each variable together
5*2=10
8*3=24
10
/24x
the coefficients (numbers) can each be divided by 2
5
/12x
subtract the "x" exponents together
5
/12
Answer:
x = 4
Step-by-step explanation:
<em>Perimeter of triangle = sum of all sides</em>
Side 1: 14 - 2x
Side 2: 3x - 1
Side 3: 2x + 1
<em>Perimeter= side 1 + side 2 + side 3</em>
26 = 14 - 2x + 3x - 1 + 2x + 1
26 = 14 - 1 + 1 - 2x + 3x + 2x
26 = 14 + 3x
3x = 12
x = 12/3
x = 4
!!