Answer:

Step-by-step explanation:
Co-ordinates of point A = ( -7 , 1 )
Co-ordinates of point M = ( -2 , 2 )
Let the co-ordinates of point B be ( x , y )
A ( -7 , 1 )
( x1 , y1 )
B ( x , y )
( x2 , y2 )
Now,
Midpoint = 
⇒
Finding the value of x :
⇒
Do cross multiplication
⇒
⇒
⇒
⇒
Now, finding the value of y
⇒
Do cross multiplication
⇒
⇒
⇒
⇒
Hence, The co-ordinates of point B = ( 3 , 3 )
Hope I helped!
Best regards!
~
<h3>Answer: Choice D</h3>
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Explanation:
The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.
The shortest way is to simply count how many negative signs each expression has.
The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.
For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.
Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.
Or you can think of it as opposites. If you are looking up (positive direction) and say "do the opposite" then you must look down (negative direction). Then if you say "do the opposite", then you must look back up in the positive direction.
Answer:
2/3
Step-by-step explanation:
0.25/0.375=0.666666666666666666666667
Answer:
-- Proved

Step-by-step explanation:
Given


Required
Show that 
The volume is calculated as:

Open the brackets



Collect Like Terms


Divide through by 4


Solving further:
Expand the expression

Factorize:


Split:


The standard form of a line is in the form

A, B and C are integers, and A is positive. Let's start with multiplying the whole equation by 3 to get rid of denominators:

Subtract 3y from both sides:

Which of course is equivalent to

Which is the standard form, given the coefficients A=1, B=-3, C=6.