<span>Answer:
Its too long to write here, so I will just state what I did.
I let P=(2ap,ap^2) and Q=(2aq,aq^2)
But x-coordinates of P and Q differ by (2a)
So P=(2ap,ap^2) BUT Q=(2ap - 2a, aq^2)
So Q=(2a(p-1), aq^2)
which means, 2aq = 2a(p-1)
therefore, q=p-1
then I subbed that value of q in aq^2
so Q=(2a(p-1), a(p-1)^2)
and P=(2ap,ap^2)
Using these two values, I found the midpoint which was:
M=( a(2p-1), [a(2p^2 - 2p + 1)]/2 )
then x = a(2p-1)
rearranging to make p the subject
p= (x+a)/2a</span>
By comparing all the options with the formula of sum of cubes and difference of cubes we get that
is sum of cubes
<h3>
What is formula of sum of cubes and difference of cubes?</h3>
Formula of sum of cubes and difference of cubes are following

(a)

by comparison with formula we can say that this is neither sum or nor difference of cubes.
(b)

by comparison with formula we can say that this is neither sum nor difference of cubes.
(c)

we can say that this is neither sum nor difference of cube as it's difference of squares.
(d)

by comparison with formula this is equal to

Hence this is sum of cubes
(e)

by comparison with formula we can say that this is neither sum nor difference of cubes.
By comparing all the options with the formula of sum of cubes and difference of cubes we get that
is sum of cubes
To know more about cubes visit: brainly.com/question/107100
Answer:
0.38268343
Step-by-step explanation:
cos(
67.5
)
Rewrite
67.5
as an angle where the values of the six trigonometric functions are known divided by 2
.
cos
(
135\
2)
Apply the cosine half-angle identity.
±
√
1
+
cos
(
135
)
2
Change the
±
to
+
because cosine is positive in the first quadrant.
√
1
+
cos
(
135
)
2
Simplify
√
1
+
cos
(
135
)
2
√
2
−
√
2
2
The result can be shown in multiple forms.
Exact Form:
√
2
−
√
2
2
Decimal Form:
0.38268343
…
To solve the problem we must know about the correlation coefficients.
<h3>What is the correlation coefficient?</h3>
The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
- 1 indicates a strong positive relationship.
- -1 indicates a strong negative relationship.
- A result of zero indicates no relationship at all, therefore, independent variable.
The correlation coefficient 0.2 denotes, "There is a weak positive relationship between the size of a student's home and the student's age".
Given to us
- The correlation coefficient for the data is 0.2.
As we can see that the value of the correlation coefficient is 0.2, therefore, it is far from1 meaning the relationship is weak, while the '+' symbol denotes that the relationship is positive.
Hence, the correlation coefficient 0.2 denotes, "There is a weak positive relationship between the size of a student's home and the student's age".
Learn more about Correlation Coefficients:
brainly.com/question/15353989
6 is a whole number and 5/8 is a fraction
Fractions are parts of a whole number
So a fraction is smaller than any whole number
Thats why 6 is greater than 5/8
6 is a number that is in the ones place
Once the ones place is full up the number 9 and is about to go to 10 it goes to the tens place
So anything that is in the tens place is greater than a number in the ones place
6 is in the ones place
70 is in the tens place
Thats why 6 is less than 70