Answer:
<em>Gradient of KL = 2</em>
Step-by-step explanation:
From the diagram, we are to calculate the gradient of KL. Gradient is salso known as the slope of the line.
Gradient of KL = ΔOK/ΔOL
Given
OK = 2OL
Substitute into the formula
From the diagram, ΔOL = -5
ΔOK = 2ΔOL
ΔOK = 2(-5)
ΔOK = -10
Hence;
Gradient = -10/-5
<em>Gradient of KL = 2</em>
<em></em>
Answer:
Segment AD is 3, and segment AE is 2.
Step-by-step explanation:
In a triangle, the line joining the mid points of two sides is parallel and half of the third sides of the triangle.
Here, ABC is a triangle,
In which,
AB = 6,
AC = 4,
D∈ AB and E∈AC
Let DE ║BC,
And, 
In triangles ADE and ABC,
( Alternative interior angle theorem )

By AA similarity postulate,

∵ Corresponding sides of similar triangle are in same proportion,





Hence, the correct option would be,
Segment AD is 3, and segment AE is 2.
Let the angle be y;
Then the supplement is 5y
y+5y=180
6y=180
y=30
The angle is 30 degrees
Answer:
Discriminant = 140
Step-by-step explanation:
a = -2, b = 6, c = 13
6² - 4(-2)(13)
36 + 8(13)
36 + 104
140
Slope = Change in Y / change in x
Slope = (16 - -9) / (-2 - 3)
Slope = 25/-5
Slope = -5