The equation y−4=−1/4(x−5) is in the form of y=mx+b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Let x and y be the two numbers
Saying "The sum of two numbers is 27" means x+y = 27. The term "sum" is the result of adding. So the first equation is x+y = 27
The second equation is y = x+3 where we assume that y is the larger number of the pair.
So your system of equations will be
x+y = 27
y = x+3
Use substitution to solve this system.
x+y = 27
x+( y ) = 27
x + (x+3) = 27 ... notice how y has been replaced with x+3 (since y = x+3)
x+x+3 = 27
Solve for x and then use this to find y. I'll let you finish up.
If you need more help, then please let me know.
Given:
The equation of ellipse is
To find:
The length of the minor axis.
Solution:
The standard form of an ellipse is
...(i)
where, (h,k) is center, if a>b, then 2a is length of major axis and 2b is length of minor axis.
We have,
...(ii)
On comparing (i) and (ii), we get
Taking square root on both sides.
Consider only positive value of b because length cannot be negative.
Now,
Length of minor axis =
=
=
So, the length of minor axis is 8 units.
Therefore, the correct option is B.
Answer:
Tbe delivery person can only bring 15 boxes of books at one time
Step-by-step explanation:
160+(15×40)= 760