Answer:
y = 7
Step-by-step explanation:
The diagonals of a rectangle are congruent and bisect each other, then
AC = BD , that is
AE + EC = BD [ AE = EC = 6y ]
6y + 6y = 84
12y = 84 ( divide both sides by 12 )
y = 7
The second. Hope that helps.
Answer:
The remainder will be 6.
Step-by-step explanation:
We have the function:

And we want to find the remainder after it is divided by the binomial:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).
Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).
Therefore, <em>a</em> = -4.
Then according to the PRT, the remainder will be:

The remainder will be 6.
The graph of the function f(x) = (x - 3)^3 + 2 is 3 units to the right of the parent function.
Hence the horizontal shift is right 3.
162/60 = 2.7 heartbeats per second