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r-ruslan [8.4K]
3 years ago
5

The sum of two numbers must be 14 or greater. The product of the two numbers must be less than 40. Which system of inequalities

represents this situation?
A.{x+y≥14xy<40

B.{x+y≥14xy<40

C.{x+y>14xy<40

D.{x+y>14xy<40
Mathematics
1 answer:
Anettt [7]3 years ago
4 0

Answer:

A

Step-by-step explanation:

x+y≥14

xy<40

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Identify the center and radius from the equation of the circle given below. x^2+y^2+121-20y=-10x
Tcecarenko [31]

Answer:

Center: (-5,10)

Radius: 2

Step-by-step explanation:

The equation of the circle in center-radius form is:

(x-h)^2+(y-k)^2=r^2

Where the point (h,k)  is the center of the circle and "r" is the radius.

Subtract 121 from both sides of the equation:

x^2+y^2+121-20y-121=-10x-121\\x^2+y^2-20y=-10x-121

Add 10x to both sides:

x^2+y^2-20y+10x=-10x-121+10x\\x^2+y^2-20y+10x=-121

Make two groups for variable "x" and variable "y":

(x^2+10x)+(y^2-20y)=-121

Complete the square:

Add (\frac{10}{2})^2=5^2 inside the parentheses of "x".

Add  (\frac{20}{2})^2=10^2  inside the parentheses of "y".

Add 5^2 and 10^2 to the right side of the equation.

Then:

(x^2+10x+5^2)+(y^2-20y+10^2)=-121+5^2+10^2\\(x^2+10x+5^2)+(y^2-20y+10^2)=4

Rewriting, you get that the equation of the circle in center-radius form is:

 (x+5)^2+(y-10)^2=2^2

You can observe that the radius of the circle is:

r=2

And the center is:

(h,k)=(-5,10)

6 0
3 years ago
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How would you solve this equation? How would you solve this balance problem? How are they similar??? 16 = 4 + 2x
AysviL [449]

Answer:

6

Step-by-step explanation:

Step 1:

16 = 4 + 2x

Step 2:

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Answer:

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Hope This Helps :)

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The answer is 25, leave a like (:
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How many 150 ml bottles can be filled with 6 litres/
lara31 [8.8K]

Answer:

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Step-by-step explanation:

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AND SORRY FOR BAD GRAMMAR BUT I HOPE IT HELPS!!

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Answer:

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The value is projected to be $53.61 in 2 years.

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