Answer: 
Explanation:
We plug the given coordinates into the distance formula

There isn't much we can do from there since we don't know the values of 'a' or 'b'. You could expand out each binomial, but it's more simplified being factored like that.
The expression representing the sentence is
.
We have a sentence - "3 minus the quotient of x and 4".
We have to determine the expression that represents the sentence.
<h3>Express the statement - "The difference of x and y is equal to an irrational number" in the form of expression.</h3>
The expression representing the above statement is -
x - y = π.
According to the question, we have -
3 minus the quotient of x and 4.
Using the Division Algorithm -
x = 4q + r
Substituting r = 0 by introducing decimals in the quotient, we get -
q = 
Therefore -

Hence, the expression representing the sentence is
.
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Correct option is A) The student is completely correct because the student correctly wrote and solved the compound inequality.
<u>Step-by-step explanation:</u>
Here we have , A student found the solution below for the given inequality.
1x-91<-4
x-9>4 and x-9 <-4
x> 13 and x<5
We need to find Which of the following explains whether the student is correct . Let's find :
We will be solving equation 1x-91<-4 or ,
. We know that for Modulus function , value inside modulus function is both positive & negative depending on particular value of x ! So ,
x-9 is positive :
Let's solve
⇒ 
⇒ 
⇒ 
x-9 is negative:
Let's solve
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , Correct option is A) The student is completely correct because the student correctly wrote and solved the compound inequality.
Answer:
x<−3+√1012 or x>−3−√1012
Step-by-step explanation:
Answer:
The ratio of the surface areas and volume is 8((5y+5x) /25xy)
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes.
Let us assume that the radius =x
Radius r=5x/4
And the height =y
Height h= 5y/4
We know that the total surface area of a cylinder is
A total = 2πrh+2πr²
We can factor out 2πr
A total = 2πr(h+r)
The volume of a cylinder is given as
v= πr²h
The surface area and volume ratios
Can be expressed as
2πr(h+r)/πr²h= 2(h+r)/rh
= (2h+2r)/rh= 2h/rh + 2r/rh
= 2/r + 2/h
= 2(1/r + 1/h)
Substituting our value of x and y
For radius and height we have
= 2(1/5x/4 + 1/5y/4)
=2(4/5x + 4/5y)
=2*4(1/5x + 1/5y)
= 8 (5y+5x/25xy)