Answer:
(1, -2)
Step-by-step explanation:
Subtracting the first equation from the second gives ...
(5x +y) -(3x +y) = (3) -(1)
2x = 2 . . . . . collect terms
x = 1 . . . . . . . divide by 2
Then substituting into the first equation, we have ...
3·1 +y = 1
y = -2 . . . . . . subtract 3
The solution is (x, y) = (1, -2).
<u>Answer:</u>
If the circumference of a circle is changed from 9 cm to 3 cm, then the diameter decreases by a factor of 3.
<u>Solution:</u>
Given, the circumference of a circle is changed from 9 cm to 3 cm,
We have to find how will the diameter change from the given equations?
We know that, diameter = 2
radius and circumference = 2π
radius.




Hence, the diameter decreases by a factor of 3.
Yes................................................
Given that in a trianlgle the sides AB, BC, CA are in the ratio 3:4:6.
Let AB = 3k, BC = 4k and CA = 6k.
Then perimeter =3k+4k+6k = 13k
M, N, K are mid points of the sides.
By mid point theorem MN = 3k/2, NK = 4k/2 and KM = 6k/2
Hence perimeter of MNK = 13k/2 =5.2 (given)
Solve for k
k=2(5.2)/13 = 0.8
Hence sides are
AB = 3k = 3(0.8) = 2.4 in
BC = 4k= 3.2 in
CA = 4.8 in