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Alisiya [41]
3 years ago
6

The difference between two number is 9 and the product of the number is 162 find the 2 number

Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

18 and 9

OR

-18 and -9

Step-by-step explanation:

Let:

first number = x

second number = y

According to given conditions:

x -  y = 9 ---------- eq1

x * y = 162 ------- eq2

From eq1:

x = 9 + y

Put it in eq2:

(9+ y)*y = 162

9y + y^2 - 162 = 0

OR

y^2 + 9y -162 = 0

By factorizing we get:

y^2 -9y + 18y - 162 = 0

Taking common:

y(y - 9) + 18(y - 9) = 0

(y - 9)(y + 18) = 0

So:

y = -18 and y = 9

ignoring negative integer

Putting values of y in eq1:

   x - 9 = 9

  x = 9 + 9

   x = 18

So the two numbers are:

18 and 9

OR

-18 and -9

i hope it will help you!    

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Answer:

The equation of the circle is;

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Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

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The given parameters are;

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The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

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∴ The coordinate of the center of the circle = (2, 4)

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4 0
3 years ago
Espana
marysya [2.9K]
First, subtract to get the difference.
2.85 – 2.78 = 0.07

Next, divide 2.78 by 100
2.78 ÷ 100 = 0.0278
So, 0.0278 is 1%. Divide 0.07 by 0.0278 to get the answer.
0.07 ÷ 0.0278 ≈ 2.518
2.518 ≈2.5
Therefore, the percentage increase is approximately 2.5% (that's the answer).

Hope this helps!
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