All categories

2 years ago

Solve by completing the square.

Mathematics

1 answer:

Leona [35]2 years ago

3 0

Answer:

28- 4± $\sqrt{21}$

30- -4±2i

Hope this helps!

You might be interested in

Luke added 429 + 699 +314 and got 950.Is this sum reasonable?

trasher [3.6K]

No, it's not reasonable

6 0

3 years ago

Read 2 more answers

Select the best possible first step to solving the system by first eliminating the x variable.3x − 9y = 6 2x − 11y = 6?

musickatia [10]

$\left\{\begin{array}{ccc}3x-9y=6&|divide\ both\ sides\ by\ 3\\2x-11y=6&|divide\ both\ sides\ by\ (-2)\end{array}\right\\\\\underline{+ \left\{\begin{array}{ccc}x-3y=2\\-x+5.5y=-3\end{array}\right}\\.\ \ \ 2.5y=-1$

4 0

3 years ago

Read 2 more answers

You make picture frames to sell at the flea market; you spent $46 on supplies and you want to sell the frames for $8.50 each. Ho

BARSIC [14]

<h3>Answer: 6 Frames</h3>

Before we start, let us figure out what profit means?

Profit is the money you make.

Note: Income is the money you receive, and expenses are the money you spend on your business.

If you sold five frames, you would make: (8.50 x 5 = $42.50)

Note: $42.50 <u>is not</u> greater than your expenses, so you haven't make any profit yet.

If you sold six frames, you would make: (8.50 x 6 = $51.00)

Note: $51.00 <u>is</u> greater than your expenses, so you made some profit.

<h3>Additional Information</h3>

To find the money you made or your profit, simply subtract the money you received from your expenses.

$51.00 - $46.00 = $5.00

You only made <u>$5.00</u>, but to make a larger profit, you have to sell more frames.

<h3>Conclusion</h3>

I hope my explanation provided excellent aid. Oh, and you're welcome.

3 0

3 years ago

David, Morris, and Jose are the stars of the schools’ basketball team. In the last game, David earned twice as many points as Mo

Alexus [3.1K]

Answer:

Since he earned one third as many as Jose

it's 8

Step-by-step explanation:

$\frac{1}{3} \times 24 = 8$

3 0

3 years ago

MATH URGENT

maks197457 [2]

${x}^{2} + 4x - 12 = 0 \\ {x}^{2} + 4x + 4 - 4 - 12 = 0\\ {(x + 2)}^{2} - 16 = 0 \\ x = - + \sqrt{16} - 2 \\ x = + \: or - 4 - 2 \\ x = - 6 \: \: x = 2$
- subtract the 12 from both sides so that it becomes the last constant term in the quadratic equation which should now equal 0.
- take the 4x
- half the coefficient of 4 (2)
- square it (4)
- add it to the equation (+4)
- subtract it from the equation (-4)
- factorise the square (x+2)^2 expands to (x^2 + 4x + 2) as {a+b}^2={a^2 + ab + ba + b^2}
- now the equation is in turning point form.
- to find x, add 16 and square root 16 and (x+2)
- subtract 2 from positive or negative 4 (as -4^2 and 4^2 both equal 16).
- This should give you two values for x, -6 and 2.

I really hope that this helped :)

7 0

3 years ago