1. Points that lie on the intersection area of the inequalities are solutions.
For example (0,2), (-4,4), (2,-1), (-8,0) and all others which lie in this area.
2 Not solutions are points that are on the lines (because we have signs > and <, not ≤ and ≥), or on the areas that are not intercepted. For example, (6,2), (2,2), (2,-4),(-6,-2).
Answer:

Step-by-step explanation:
we know that
The right bisector of the line segment JK is a perpendicular line to the segment JK that pass through the midpoint of segment JK
step 1
Find the midpoint JK
The formula to calculate the midpoint between two points is equal to

we have

substitute the values



step 2
Find the slope JK
The formula to calculate the slope between two points is equal to
we have

substitute
step 3
Find the slope of the line perpendicular to the segment JK
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

we have
----> slope of segment JK
Find m_2
substitute


step 4
Find the equation for the right bisector of the line segment JK
The equation in point slope form is equal to

we have


substitute

Convert to slope intercept form
isolate the variable y




Answer:
X = 1
Step-by-step explanation:
2x^2 + x - 1 = 2
2x^2 + x - 3 = 0
2x^2 + 3x -2x - 3 = 0
x(2x+3) -1 ( 2x+3) = 0
(x-1) (2x+3) = 0
x-1=0
x=1
2x+3=0
2x=-3
x=-3/2.
Answer:
Remi needs 15 cm of wood to be cut for the shelf.
Step-by-step explanation:
We have drawn the triangle for your reference.
Now Given:
Base measure (BC) =30 cm
Slant height (AB) = 24 cm
Slant height (AC) = 18 cm
Also Given horizontal shelf halfway between the base and the top.
In the triangle drawn horizontal shelf is denoted by DE.
We need to find the measure of DE.
Now we know that horizontal shelf halfway between the base and the top.
Hence by Midpoint theorem which states that;
"The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side."

Substituting the value we get;

Hence Remi needs 15 cm of wood to be cut for the shelf.
Answer:
popcorn=4$
soft drink=4.5$
Step-by-step explanation:
- if we used omitting method:
1-we multiply (p+s=8.5) by (-2) so we could get rid of (s) and be leftover with (p)
so: (-2p-2s= -17)
2- we subtract this equation from (p+2s=13) and the result will be (-p= -4)
3- divide them by (-1) and the result is (p=4)
4-(p+s=8.5) ,substitute (p) with (4) and make it go to the other side with negative sign and the result of (s) is (8.5-4=4.5)
- if we used substituting method:
1-(p+s=8.50), we will make (s) go to the other side with negative sign so the result is (p=8.50-s)
2-(p+2s=13.00), substitute (p) with (8.50-s):
(8.50-s+2s=13)
3- make (8.50) go to the other side with negative sign:
(s=13-8.50=4.5) and then you could get (p)