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3 years ago

In order to solve by completing the square, what value needs to be added to

Mathematics

1 answer:

Crazy boy [7]3 years ago

5 0

Answer:

Step-by-step explanation:

To find the term needed, use the binomial formula.

$(a+b)^2 = a^2 + 2ab + b^2$

Let 8x = 2ab, a is by default x, which leaves us with:

8x = 2xb

8 = 2b

b = 4

And by the binomial formula add $b^2$ to both sides, namely 16.

$x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33$

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Select 3 ratios that are equivalent to 8:20

guapka [62]

Answer:

4:10, 2:5 16:40

Step-by-step explanation:

just multiply or divide

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3 years ago

What is 4(1/50) as a decimal and a percent?

KIM [24]

402% as a percent and 4.02 as a decimal. Its Friday so sorry if im wrong

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3 years ago

Read 2 more answers

What is the value of x in the solution to the system<br> x+y=10<br> x-y=4

ANEK [815]

Answer:

x = 7; y = 3

Step-by-step explanation:

I used the Trial and Error Method and found that x = 7 and y = 3

=> 7 + 3 = 10

=> 10 = 10. ✔

=> 7 - 3 = 4

=> 4 = 4. ✔

Therefore, x = 7 and y = 3

Hoped this helped.

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2 years ago

The function f(x) = −x^2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), i

pychu [463]

Set the function to equal zero:

$-x^2 - 5x + 50 = 0$

To find the zeros, or solutions, to this problem, we will use the quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plug the values into the equation:

$a = -1, b = -5, c = 50$

$x=\frac{5\pm\sqrt{-5^2-4(-1)(50)}}{2(-1)}$

$x=\frac{5\pm\sqrt{25+200}}{-2}$

$x=\frac{5\pm15}{-2}$

Solve for both plus and minus:

$\frac{5 + 15}{-2} = \frac{20}{-2} = -10$

$\frac{5 - 15}{-2} = \frac{-10}{-2} = 5$

$x = -10, x = 5$

The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.

The answer is '<span>x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>

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3 years ago

How much are 10 australian dollars worth in Canadian dollars

cupoosta [38]

Answer: 8.94

Step-by-step explanation:

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2 years ago