We have that
<span>points A (-5, 6) and B (7, -1)
Part A)
find the distance
d=</span>√[(y2-y1)²+(x2-x1)²]-------> d=√[(-1-6)²+(7+5)²]----> d=√(49+144)
d=√193 units
Part B)
find the midpoint
ABx=(x1+x2)/2-----> (-5+7)/2-----> ABx=1
ABy=(y1+y2)/2-----> (-1+6)/2-----> ABy=2.5
the midpoint is (1,2.5)
Part C)
find the slope
m=(y2-y1)/(x2-x1)-----> m=(-1-6)/(7+5)--------> m=-7/12
the slope m=-7/12
<span>2 square root (x - 5) = 2. 2^2 (x -5) = 2^2. 4(x - 5) = 4. 4x - 20 = 4. 4x = 24. x = 6. This solution is not extraneous, because extraneous solutions emerge from solving the problem but are not actually valid solutions for the initial problem. With rounding, this solution is valid for the initial problem.</span>
Answer:
(0,1/5) and (1/9,0)
Step-by-step explanation:
3/5x +1/3y=1/15
To find intercepts, plug in 0
y-intercept: 3/5(0) + 1/3y=1/15
y=1/15*3 = 3/15 = 1/5 or 0.2
x-intercept: 3/5x + 1/3(0) = 1/15
3x=1/15*5/3
x=5/45= 1/9
Answer:
42 acres to 72 acres, there is an increase of 30 acres
percentage wise
72-42=30
30/72=.4166...
therefore there is also a 41.6% increase
Step-by-step explanation:
71.42 Percentage change:×100%
Now, the change is given from 42 acres to 72 acres, therefore
Change= 72-42=30
⇒Percentage change= ×100%
= 71.42