Answer:
A. 
Step-by-step explanation:
This is a great question! The first thing we want to do here is to take the constant out of the expression, in this case 5. Doing so we would receive the following expression -
We can then apply the power rule " 
", where a = exponent ( in this case 4 ),
From now onward just simplify the expression as one would normally, and afterward add a constant ( C ) to the solution -
- Add the exponents,
- 5 & 5 cancel each other out,
- And now adding the constant we see that our solution is option a!
It is convenient to do part b first, then use that result to do part a.
b. For some pair of points (x1, y1) and (x2, y2), you want to find a point (a, b) such that (a, b) - (x1, y1) = (x2, y2) - (a, b). That is, the differences of coordinates from one end to the center are the same as the differences from the center to the other end.
Adding (a, b) to the above equation gives
2(a, b) - (x1, y1) = (x2, y2)
Adding (x1, y1) then gives
2(a, b) = (x1, y1) + (x2, y2)
Finally, dividing by 2 gives a formula for (a, b):
(a, b) = ((x1, y1) + (x2, y2))/2
The midpoint is the average of the end points.
a. Using the result from part b, the midpoint is
midpoint = ((2, 3) + (6, 7))/2 = (8, 10)/2
midpoint = (4, 5)
Answer: 152 I think
Step-by-step explanation:
The total units of stationery he has would be 55 approximately.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
David keeps a range of stationery in his study.
Let the pencil is represented by x.
Let the erasers be represented by y.
Let the pens be represented by z.
Let n be the stationery.
5/7 of his stationery consists of pencils.
x = 5/7 n
1/6 of the remaining stationery consists of erasers.
y = 1/6 n
There are 20 pens in his study.
z = 20
The total stationery
X + y + z
5/7 n + 1/6 n + 20 = n
20 = n -23/ 36 n
20 = 13 / 36 n
n = 55.38
Therefore, the total units of stationery he has would be 55 approximately.
Learn more about equations here;
brainly.com/question/10413253
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