Jack had 3 bags of golf balls with b balls in each bag; then his friend gave him 6 more golf balls. How many golf balls does Jac
2 answers:
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Answer:
The vertex of this parabola, , can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where ,
, and
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for , and the coefficient for
should all match accordingly. That is:
.
The first equation implies that is equal to
. Hence, replace the "
" in the second equation with
to eliminate
:
.
.
Similarly, replace the "" and the "
" in the third equation with
and
, respectively:
.
.
Therefore, would be equivalent to
. The vertex of this parabola would thus be:
.
Step-by-step explanation:
Two legs of the right triangle are 6 and 9. We can find its third side as follows :
The above is called Pythagoras theorem and it is applicable for a right angled triangle.
a,b and c are base, perpendicular and hypotenuse respectively
c is the third side
So,
Hence, Cade and Tyce both are correct. The length of the missing side is 10.82