If Square GHIJ is dilated by a scale factor of five about the center of the square, dilated line K'L' will
2 answers:
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Answer:
The cost of 1 note book = Rs 43.5
Step-by-step explanation:
Given in question as :
95 pens (P) + 89 notebook (N) total cost = Rs 7434
1 pen (P) + 1 (N) total cost = Rs 81
So, from above equation
95 pens (P) + 89 notebook (N) total cost = Rs 7434
1 × 95 pen (P) + 1× 95 notebook (N) total cost = Rs 81 × 95
Or, (95 pens (P) + 95 notebook (N) ) - (95 pens (P) + 89 notebook (N) ) = (7695 - 7434)
Or , 6 N = Rs 261
Or, N = = Rs 43.5
Hence the cost of 1 notebook is Rs 43.5 Answer
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:
.