Answer:
The system of inequalities is
y\geq 3x-2
y<-(1/5)x+2
Step-by-step explanation:
step 1
Find the equation of the solid blue line
Let
A(0,-2), B(1,1)
Find the slope of AB
m=(1+2)/(1-0)=3
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=3
b=-2 - ----> the point A is the y-intercept
substitute
y=3x-2 - -----> equation of the solid blue line
The solution of the inequality is the shaded area above the solid line
therefore
The first inequality is
y\geq 3x-2
C(0,2), D(5,1)
step 2
Find the equation of the dashed red line
Let
Find the slope of CD
m=(1-2)/(5-0)=-1/5
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=-1/5
b=2 ----> the point C is the y-intercept
substitute
y=-(1/5)x+2 -----> equation of the dashed red line
The solution of the inequality is the shaded area below the dashed line
therefore
The second inequality is
y<-(1/5)x+2
The system of inequalities is
y\geq 3x-2
y<-(1/5)x+2
ANSWER
The length of the rectangular field is 99 yards
EXPLANATION
Given information
The perimeter of a rectangle field is 372 yards
The width of the field is 87 yards
To find the length of the rectangular field, follow the steps below
Step 1: Write the formula for finding the perimeter of a rectangular field
Step 2: Substitute the given data into the formula in step 1
Hence, the length of the rectangular field is 99 yards
Answer: 35/3 or 11.6
Step-by-step explanation:
3x-7=28
Add 7 to each side
3x=35
Divide by 3
Answer:
Step-by-step explanation:
I think it may look like this?
Step-by-step explanation:
LET THE Point 1 A and point 2 is B
(AB) ^2=(-9-(-3))^2+ (5-(-6))^2+(-4-7)^2=278
AB=16.67 length unit
Midpoint
X=-9-3/2 =-6
Y=5-6/2=-0.5
Z=-4+7/2=-1.5