Answer:
Please Find the solution below
Step-by-step explanation:
Let us say the two equations are
x+y=5 --------------(A)
x-y=1 -------------(B)
Let us solve them for x and y by adding them
2x=6
x=3
Hence from (A)
3+y=5
y=2
Hence our solution is
x=3, y=2
Adding same number to equation (A) say 2 we get
x+y+2=5+2
x+y=5+2-2
x+y=5
Hence equation remains the same while adding same number to each side.
Same thing happens if we add same number to equation (B)
Hence we draw the conclusion that the solution remains the same if same number is added to each side of the original equation.
Answer:
Hello i think i can help you :)
The answer is D. Constant
if this helped you please rate and mark brainliest!
-gigi
Answer:
The fourth vertex is D(8, 0)
Step-by-step explanation:
Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).
Join AC and BD. Let AC and BD intersect at point O.
- We have known that the diagonals of a parallelogram bisect each other.
So, O would be the midpoint of AC as well as that of BD.
The midpoint of AC is:
The midpoint of BD is:
so
∵
∵
Hence, the fourth vertex is D(8, 0)
Varies directly means
if y varies directly as x that means
y=kx where k is a constant
so
y=kx
y=2 and 2/3 when y=1/4 then find k
convert 2 and 2/3 to imporoper fraction for ease
2 and 2/3=6/3+2/3=8/3
8/3=k(1/4)
multiply both sides by 4/1 to clear fraction
32/3=k
so now we have
y=(32/3)x
when x=1 and 1/8
find y
convert 1 and 1/8 to imporopor=9/8
y=(32/3)(9/8)
y=(288)/(24)
y=12