Answer:
a). true
b). true
Step-by-step explanation:
a).
Given : If a = 5, then ac = 5c
Let c be any constant.
a = 5 (given)
Therefore, ac = 5c
Here a is given a constant value (5), also let assume c to be a constant. So when we multiply each term we will get a constant value of 5c. The ratio does not change.
Hence proved.
b).
Given : If ac = 5c, then a = 5
Let c be any constant
It is given, a = 5
Therefore, ac = 5c
Here the product of two terms is given as 5c, where c is assume to be a constant. Then as a product rule, the value of a will be 5. The ratio will not change.
Hence proved.
Answer:
A is your anser
Step-by-step explanation:
Answer:

Step-by-step explanation:
First, let us find the gradient of AB:
Gradient of AB = 
= 
We also need to know that The <em>product of gradients which are perpendicular to each other is -1</em>. Using this idea, we can find the gradient of the perpendicular bisector:
(Gradient of perpendicular bisector)(
) = -1
Gradient of perpendicular bisector = 
Now, we need to know at which coordinates the perpendicular bisector intersects AB. <em>A perpendicular bisector bisects a line to two equal parts</em>. Hence the <em>coordinates of the intersection point is the midpoint of AB</em>. Thus,
Coordinates of intersection = (
,
)
= ( 2, 1 )
Now, we can construct our equation. The equation of a line can be formed using the formula
where
is the gradient and the line passes through
. Hence by substituting the values, we get:


<u />
Do you know the Combination Formula? If Not it is (n!)/r!(n - r)!
I think n would equal 6, and r would equal 2. So it would be 6!/2!(4!)
I believe you can do this yourself now that I've given you an equation.