Answer:
As the points are collinear, the slope of the line joining
any two points, should be same as the slope of the line joining two other
points.
Slope of the line passing through points (x
1
,y
1
) and (x
2
,y
2
) =
x
2
−x
1
y
2
−y
1
So, slope of the line joining (p,0),(0,q)= Slope of the line joining
(0,q) and (1,1)
0−p
q−0
=
1−0
1−q
−
p
q
=1−q
Dividing both sides by q,
−
p
1
=
q
1
−1
=>
p
1
+
q
1
=1
<span>Let the width of the rectangular plot of land be 'x' yards.
Given that the length of the rectangular plot of land is 10 yards more than its width.
So, width of the rectangular plot of land = (x + 10) yards.
Also given that the area of the rectangular plot of land is 600 square yards.
We know that, area of a rectangle = length * width
That is, (x+10) * x = 600
x^2 + 10x = 600
x^2 + 10x - 600 = 0
x^2 + 30x - 20x -600 = 0
x(x + 30) - 20(x + 30) = 0
(x +30)(x -20) =0
Therefore, either (x + 30) = 0 or (x - 20) = 0
If x + 30 = 0, then x = -30 and
If x - 20 = 0, then x = 20
Since 'x' represents the width of a rectangular plot of land it cannot be negative.
Therefore,
width of the rectangular plot of land = 20 yards
length of the rectangular plot of land= x + 10 = 30 yards</span>
It is 3 to 4
you find the GCF of 24 and 32 which is 8. then divide 24 and 32 by 8 to find the ratio
Hey there!
2x + 2 = -4(x - 5)
2x + 2 = -4(x) - 4(-5)
2x + 2 = -4x + 20
ADD 4x to BOTH SIDES
2x + 2 + 4x = -4x + 20 + 4x
SIMPLIFY IT!
6x + 2 = 20
SUBTRACT 18 to BOTH SIDES
6x + 2 - 2 = 20 - 2
CANCEL out: 2 - 2 because it give you 0
KEEP: 20 - 2 because it help solve for the x-value
NEW EQUATION: 6x = 20 - 2
SIMPLIFY IT!
6x = 18
DIVIDE 6 to BOTH SIDES
6x/6 = 18/6
CANCEL out: 6/6 because it give you 1
KEE: 18/6 because it help solve for the x-value
NEW EQUATION: x = 18/6
SIMPLIFY IT!
x = 3
Therefore, your answer is: x = 3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
