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Ann [662]
2 years ago
12

PLEASE HELP ASAP!!!!!!

Mathematics
2 answers:
Wewaii [24]2 years ago
8 0

Answer:

Step-by-step explanation:

\dfrac{xy}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}

Apply the fraction rule \dfrac{a}{b}\times \dfrac{c}{d}=\dfrac{a \times c}{b \times d} :

\implies \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}

Cancel the common factor xy :

\implies \dfrac{(a+a^2)}{xy(a^2+a^3)}

Factor (a+a^2)=a(1+a) \ \ \textsf{and} \ \ a^2+a^3=a^2(1+a) :

\implies \dfrac{a(1+a)}{xy \cdot a^2(1+a)}

Cancel the common factor a(1+a) :

\implies \dfrac{1}{axy}

I think the "if" part is a, x and y cannot equal zero, as otherwise the expression will be undefined.

So I would put: x\neq 0; y\neq 0, a\neq 0

vivado [14]2 years ago
5 0

Answer:

\frac{1}{axy}

Step-by-step explanation:

\frac{xy}{a^2+a^3} × \frac{a+a^2}{x^2y^2} ( factorise denominator and numerator of 2 fractions )

= \frac{xy}{a^2(1+a)} × \frac{a(1+a)}{x^2y^2}

Cancel (1 + a) from both fractions

= \frac{xy}{a^2} × \frac{a}{x^2y^2}

Cancel a and xy from both fractions

= \frac{1}{a} × \frac{1}{xy}

= \frac{1}{axy}

a ≠ 0 , x ≠ 0 , y ≠ 0

as this would would make the function undefined

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I don't get how to do this.
olasank [31]

Answer:

426 chickens

Step-by-step explanation:

let the pigs = x

the ducks = 2×x = 2x

the chickens = 3×(2x) = 6x

x +2x +6x = 639

9x=639

x = 639/9 = 71

the chickens = 6x = 6×71 = 426

8 0
3 years ago
Read 2 more answers
In PQR the measure of R=90 the measure of P=62 and RP=8.6 find the length of QR to the nearest tenth of a foot.
alex41 [277]

Answer:

QR = 4.6 ft

Step-by-step explanation:

By applying tangent rule in the given triangle PQR,

tan(62°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

             = \frac{8.6}{QR}

QR = \frac{8.6}{\text{tan}(62)}

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QR ≈ 4.6 ft

5 0
3 years ago
Find a matrix representation of the transformation L(x, y) = (3x + 4y, x − 2y).
mario62 [17]

Answer:

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&1\\4&-2\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Step-by-step explanation:

The general matrix representation for this transformation would be:

\left[\begin{array}{cc}x&y\end{array}\right] * A = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

As the matrix A should have the same amount of rows as columns in the firs matrix and the same amount of columns as the result matrix it should be a 2x2 matrix.

\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]

Solving the matrix product you have that the members of the result matrix are:

3x+4y = a*x + c*y

x - 2y = b*x + d*y

So the matrix A should be:

\left[\begin{array}{cc}3&1\\4&-2\end{array}\right]

8 0
3 years ago
How do I answer part A?
Katyanochek1 [597]
You shade in the boxes
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As an estimation we are told 5 miles is 8 kilometres. Convert 65 miles to km
aev [14]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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