Answer:
a. 
b. 
Step-by-step explanation:
Given
A(-8,7) and B(6,-9).
Solving (a):
Determine the Midpoint M;
This is calculated as follows;
Where
Substitute these values in the formula
<em>Hence; the midpoint is (-1,-1)</em>
Solving (a):
Here, we have
C = (2,7)
M; Midpoint = (-1,-1)
Required: Determine D
This is calculated as follows;
Where
Substitute these values in the formula
Solving for x2
Multiply both sides by 2
Subtract 2 from both sides
Solving for y2
Multiply both sides by 2
Subtract 7 from both sides
Hence, the coordinates of D is
Answer:
48
Step-by-step explanation:
192/4=48
Hope this helps!!!
Answer:
Step-by-step explanation:
Here, the given expression is
Now, simplifying the brackets, we get
= 
Now, operate on the like terms.
= 
=
Hence, the given expression is simplified to the quadratic equation
Answer:
To prove that the triangle is a right- isosceles triangle, prove that
- There is a right angle in the triangle
- Two sides of the triangle are equal in length
Another way to prove that angle YXZ is a right angle is to calculate the length of XY, XZ and YZ using the distance formula. Then show that (YZ)² = (XY)² + (XZ)².
By the inverse of Pythagoras' Theorem, ∡YXZ is a right angle.
*The product of the gradients of 2 perpendicular lines= -1.
Please see the attached pictures for full solution.
Answer:
m = -1
b = 3
Step-by-step explanation:
This equation is in slope intercept form: y = mx + b
m is the slope
b is the y intercept
m = -1
b = 3
