Answer:
Step-by-step explanation:
Point Z divides XY into a 5:3 ratio, so Z is 5/3 of the way from X to Y. That ratio is k, found by writing the numerator of the ratio (5) over the sum of the numerator and the denominator (5 + 3 = 8). Our k value is 5/8. Now we will find the rise and run values which is the slope of this line segment:
Coordinates are found in this formula:
Filling that in:
which simplifies to
which gives us the final coordinates of Z to be
The length and width of the new scale drawing is 36 inches and 24 inches respectively.
The given parameters:
The original length and width of the soccer field is calculated as follows;
1 inch : 12 yards
For the new scale of 1 inch : 3 yards, the new length and width are represented as;
<em>the </em><em>new width</em><em>:</em>
<em>the </em><em>new length</em><em>:</em>
Thus, the length and width of the new scale drawing is 36 inches and 24 inches respectively.
Learn more about scale drawing here:
Answer:
46p + 31
hope it's helpful
calculate the slopes of the lines using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
(x₁, y₁ ) = A(- 4, - 1) and (x₂, y₂ ) = B(-1, 2 )
=
=
= 1
(x₁, y₁ ) = B(-1, 2) and (x₂, y₂ ) = (5, 1)
=
= -
(x₁, y₁) = C(5, 1 ) and (x₂, y₂ ) = D(1, - 3)
=
=
= 1
(x₁, y₁) = A(- 4, - 1) and (x₂, y₂) = D(1, - 3 )
=
= -
Quadrilateral ABCD is not a parallelogram since only one pair of opposite sides is parallel , that is AB and CD