Answer:
8/5
Step-by-step explanation:
opposite reciprocal
flip sign ±
flip numerator and denominator
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
Answer:
The equation of line is shown below.
Step-by-step explanation:
The equation of line is

It is the point slope form of a line, therefore the slope of the line is
and the line passing through (4,-1).
Rewrite the above equation in slope intercept form.



The point slope form of a line is

Where m is the slope and b is y-intercept.
Therefore the slope of the line is
and the y-intercept of the line is
.
Slope is defined as

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.
The y-intercept is
.

Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.
Answer:
p>3
Step-by-step explanation:
<=> 3p - 9 - 5p > -3p - 6
<=> -2p + 3p > -6 + 9
<=> p > 3
X = 3
y = -1
get the x or y by itself first (second eq. is easier)
So, x + 2y = 1
-2y -2y
Now we get:
x = -2y +1 Plug it into the other equation.
2x + 3y = 3
2(-2y +1) + 3y = 3
-4y + 2 + 3y = 3
-1y +2 = 3
+1y -3 -3 +1 y
y = -1 (plug into either eq to get x)
<span>x + 2y = 1
</span>x+2(-1) = 1
x-2=1
+2 +2
x = 3