Answer:
y = 2x^2 is a parabola opening up with it's vertex at (0,0)... y=3x^2 -4 is also a parabola opening up, but it is 'thinner' in that it rises in y faster and it's vertex is at (0,-4)
Step-by-step explanation:
all equations of the type y = ax^2 + b are parabolas centered on the y-axis, soo the vertex is always on (0,b)
If a is positive then the parabola opens up,
the bigger a is, the 'thinner' the graph is, i.e. the faster the graph rises
the value of b determines the location of the vertex, if b is added, then the vertex rises over the x-axis, if b is subtracted then the vertex is below the x-axis
Ts A. Congurent only denotes something being of the same shape and size, so if one wouldn't right and the other wasn't they wouldn't be identical, which is what its about.
Answer:
Mariya is 1 year old
Vikram is 7 years old
Step-by-step explanation:
Here, we want to know the present ages of Mariya and Vikram.
Let the present age of Mariya be M and the present age of Vikram be V
From the question, we are told that in 6 years time, Mariya will be as old as Vikram is now
Thus, mathematically;
M + 6 = V ••••••(i)
Furthermore , in 2 years time Vikram will be 3 time older than Mariya
Mathematically;
( V + 2) = 3( M + 2)
V + 2 = 3M + 6
V = 3M + 6-2
V = 3M + 4 •••••••(ii)
So let’s equate the V
3m + 4 = m + 6
3m -m = 6-4
2m = 2
m = 1
But V = m + 6
V = 1 + 6
V = 7
Answer:
Point in Quadrant I
Step-by-step explanation:
the lines will overlap in quadrant I (the positive quadrant)