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Nutka1998 [239]
4 years ago
6

4x^2 - 35x - 99 / x^2 - 5x - 66 Simplify this expression and state any restrictions on the variable

Mathematics
2 answers:
Akimi4 [234]4 years ago
7 0

Answer:

4x+9/x+6

Step-by-step explanation:

arsen [322]4 years ago
6 0
\frac{4x^{2} - 35x - 99}{x^{2} - 5x - 66} = \frac{4x^2 - 44x + 9x - 99}{x^{2} - 11x + 6x - 66} = \frac{4x(x) - 4x(11) + 9(x) - 9(11)}{x(x) - x(11) + 6(x) - 6(11)} = \frac{4x(x - 11) + 9(x - 11)}{x(x - 11) + 6(x - 11)} = \frac{(4x + 9)(x - 11)}{(x + 6)(x - 11)} = \frac{4x + 9}{x + 6}
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3 years ago
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Taya2010 [7]

Answer:

Part 1) PR=9\ units

Part 2) PQ=12\ units

Part 3) PS=15\ units

part 4) QR=15\ units

Part 5) RT=7.5\ units

Step-by-step explanation:

we know that

In a rectangle opposite sides are parallel and congruent

The measure of each interior angle is 90 degrees

The diagonals are congruent and bisect each other

step 1

Find the length of side PR

we know that

PR=QS ----> by opposite sides

we have

QS=9\ units

therefore

PR=9\ units

step 2

Find the length of side PQ

we know that

PQ=RS ----> by opposite sides

we have

RS=12\ units

therefore

PQ=12\ units

step 3

Find the length of diagonal PS

we know that

PS=2PT---> the diagonals bisect each other

we have

PT=7.5\ units ---> given problem

therefore

PS=2(7.5)=15\ units

step 4

Find the length of diagonal QR

we know that

QR=PS---> the diagonals are congruent

we have

PS=15\ units

therefore

QR=15\ units

step 5

Find the length of RT

we know that

QR=2RT---> the diagonals bisect each other

we have

QR=15\ units

substitute

15=2RT\\RT=7.5\ units

7 0
3 years ago
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