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Dominik [7]
3 years ago
5

The sum of a number and two is equal to negative seven. Translate this sentence to an equation and then find the number.

Mathematics
1 answer:
dimaraw [331]3 years ago
8 0

Answer: -9

Step-by-step explanation:

Given

The sum of a number and two is equal to negative 7

Suppose x is that number

\therefore x+2=-7\\\text{add -2 both sides}\\\Rightarrow x+2-2=-7-2\\\Rightarrow x=-9

So, the number is -9.

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For any two integers a and b, (a + b)2 = a? + b2
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(a+b)2 = a2 + b2

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3 years ago
Given r=3 and a center of (3,5)? Find the equation of the circle in standard and general form.
alukav5142 [94]

9514 1404 393

Answer:

  • (x -3)^2 +(y -5)^2 = 9
  • x^2 +y^2 -6x -10y +25 = 0

Step-by-step explanation:

The standard form equation for a circle of radius r and center (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

For radius 3 and center (3, 5), this is ...

  (x -3)^2 +(y -5)^2 = 9 . . . . standard form equation

Expanding this and subtracting the constant on the right gives ...

  x^2 -6x +9 +y^2 -10y +25 -9 = 0

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8 0
2 years ago
-2 (2x + 11) = 5x + 14
amid [387]

Answer:

x=-4

Step-by-step explanation:

First, write the expression and distribute.

-2(2x+11)=5x+14

-4x-22=5x+14

Add one of the variables to the other side (it makes solving a lot easier). I'll add 4x to both sides because it won't result in a negative x.

-4x-22=5x+14

<u>+4x      +4x</u>

-22=9x+14

Now, subtract 14 on both sides.

-22=9x+14

<u>-14        -14</u>

-36=9x

Divide both sides by 9.

-36=9x

<u>/9   /9</u>

-4=x  or  x=-4 (they both mean the same thing)

Have a wonderful day! I hope this helped :3

3 0
3 years ago
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