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ahrayia [7]
3 years ago
5

Please help!

Mathematics
1 answer:
Sindrei [870]3 years ago
4 0

Answer:

D. Subtraction property of equality

B. 6.5

Step-by-step explanation:

First blank:

The equation is x + 6.5 = 13.

To solve the equation, you want x alone on the left side, showing "x = some number." Since 6.5 is being added to x, you need to SUBTRACT 6.5. You must do the same operation to both sides of an equation, so you need to SUBTRACT 6.5 from both sides of the equation. What allows you to subtract the same number from both sides of an equation is the

<em>D. Subtraction property of equality </em>

Second blank:

Subtract 6.5 from both sides.

x + 6.5 = 13

x + 6.5 - 6.5 = 13 - 6.5

x = 6.5

<em>Answer: B. 6.5</em>

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Use the zero product property to find the solutions to the equation x^2-13x+30=0
Softa [21]

Answer:

D)  x = 3 , x= 10.

Step-by-step explanation:

Given  : x²-13x+30=0

To find : Use the zero product property to find the solutions to the equation.

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x²-13x+30=0

On factoring

x²-10x -3x +30=0

On taking x common from first two terms and -3 from last two terms .

x ( x - 10 ) - 3( x - 10 ) = 0

On grouping

(x -3) ( x -10) = 0.

By the zero product property

x -3 = 0

x = 3 ,  

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x = 10.

Therefore,D)  x = 3 , x= 10.

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PLEASE HELP! Solve each of the following by using the general quadratic formula.
Archy [21]

Using the quadratic formula, the solutions are:

a) x = \frac{3 \pm \sqrt{41}}{4}

b) x = 1 \pm 2i

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

x_1 = \frac{-b + \sqrt{\Delta}}{2a}

x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

Item a:

The coefficients are a = 2, b = -3, c = -4, hence:

  • \Delta = (-3)^2 - 4(2)(-4) = 41
  • x_1 = \frac{3 + \sqrt{41}}{4}
  • x_2 = \frac{3 - \sqrt{41}}{4}

Item b:

The coefficients are a = 1, b = 2, c = 2, hence:

  • \Delta = (2)^2 - 4(1)(2) = -4
  • x_1 = \frac{2 + \sqrt{-4}}{2} = 1 + 2i
  • x_2 = \frac{2 - \sqrt{-4}}{2} = 1 - 2i

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

6 0
2 years ago
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