The solid line indicates that the line itself is included in the solutions. That the shaded area is to the left, or under, the line means that y≤the line.
To find the equation of the line you first find the slope or m using any two points.
m=(y2-y1)/(x2-x1) in this case you are given (2,-5) and (-2, 3) so
m=(3--5)/(-2-2)
m=8/-4
m=-2
So far for y≤mx+b we have:
y=-2x+b using either point we can solve for b, I'll use (2,-5)
-5=-2(2)+b
-5=-4+b
-1=b
So the line is:
y=-2x-1 and since y≤ the line:
y≤-2x-1
9 x² + 16 y² = 144 / : 144 ( divide both sides by 144 )
x²/16 + y²/ 9 = 1 ( ellipse )
a² = 16, a = 4
b² = 9, b = 3
Answer:
B ) ellipse;
Domain : { -4 ≤ x ≤4 }
Range: { -3 ≤ y ≤ 3 }
Step-by-step explanation:
-2+3-12-2
1+15=16 Answer
hope it helps
Answer:
5 men should be subtracted.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
As these measures(number of men needed and time) are inversely proportional, we multiply the lines instead of cross multiplication.
How many men should be working to complete the work in 32 days?
20 men - 24 days
x men - 32 days
Then



How many men should be subtracted?
There are 20 to complete in 24 days.
15 are needed to complete in 32 days.
20 - 15 = 5
5 men should be subtracted.