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Vikentia [17]
2 years ago
9

If 9p=5q which is the correct ratio of p:q

Mathematics
2 answers:
tatyana61 [14]2 years ago
4 0

Answer: LHS = RHS

Step-by-step explanation:

Heya!!

Here, we need to compare the LHS and RHS

So, here is the solution -

(9p-5q)²+ 180 pq = (9p+5q)

LHS

= (9p-5q)²+ 180 pq

= 81 p² + 25 q² + 90 pq + 180 pq

= (9p - 5q) ²

RHS = (9p - 5q) ²

Hence, proved => LHS = RHS

Hope it helps!

zimovet [89]2 years ago
3 0

Answer:

5 : 9

Step-by-step explanation:

9p = 5q ( divide both sides by q )

9 × \frac{p}{q} = 5 ( divide both sides by 9 )

\frac{p}{q} = \frac{5}{9} , that is p : q = 5 : 9

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Whats the answer to: 3x + 5y = 2 9x + 11y = 14
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\begin{gathered}\{\begin{array}{ccc}3x+5y=2&|\cdot(-3)\\9x+11y=14\end{array}\\\underline{+\{\begin{array}{ccc}-9x-15y=-6\\9x+11y=14\end{array}}\ \ |\text{add both sides of equations}\\.\ \ \ \ \ -4y=8\ \ \ |:(=4)\\.\ \ \ \ \ y=-2\\\\\text{substitute the value of y to the first equation}\\\\3x+5\cdot(-2)=2\\3x-10=2\ \ \ |+10\\3x=12\ \ \ |:3\\x=4\\\\Answer:\ x=4;\ y=-2\to(4;\ -2)\end{gathered}

{

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∣⋅(−3)

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. −4y=8 ∣:(=4)

. y=−2

substitute the value of y to the first equation

3x+5⋅(−2)=2

3x−10=2 ∣+10

3x=12 ∣:3

x=4

Answer: x=4; y=−2→(4; −2)

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