Answer:
0 pars
Step-by-step explanation:
3-3=0
- ...........
Answer: (y + 3) = -1/3 (x - 2)
Step-by-step explanation:
Point-slope form has the form of
y - y1 = m (x - x1)
Where
y1 is the y-value of a point on the line
x1 is the x-value of a point on the line
m is the slope of the line
The problem already gives a point on the line, (2, -3)
(y + 3) = m (x - 2)
Remember to put the opposite value of the x and y values. (In other words, do NOT write (y - 3) = m (x + 2) )
The slope of a perpendicular line is the opposite reciprocal of slope of the line it is perpendicular to. The perpendicular line given in the equation is
3x - y = 4
When rearranged to slope-intercept form, we get
y = 3x - 4
Meaning the slope of the perpendicular line is 3. The opposite reciprocal of positive three is negative one-third. Therefore, the slope of the line we are solving for is -1/3.
Write 2 equations:
a +b = 39
and b = 1/2a + 6
Now replace b in the first equation with the second one:
a + 1/2a + 6 = 39
Combine like terms:
1 1/2a + 6 = 39
Subtract 6 from each side:
1 1/2a = 33
Divide both sides by 1 1/2:
a = 33 / 1 1/2 = 33 / 1.5
a = 22
Now replace a with 22 in the first equation and solve for b:
22 + b = 39
b = 39 -22
b = 17
The two numbers are 17 and 22.
Answer:
73.7
Step-by-step explanation:
14 +14 +23+22.7=73.7