All categories

2 years ago

HELP ASAP BRAINLIEST AND THX! I NEED U!

Mathematics

1 answer:

Natalka [10]2 years ago

5 0

Answer:

y=(x+12) 2 - 162 =a

Step-by-step explanatio

You might be interested in

Solve the equation by completing the square and then solving for x. 1. x^2-6x=12 2. 2x^2-24x=-20

Paraphin [41]

Answer: (x - 3)² = 21

Step-by-step explanation:

x² - 6x + ____ = 12 + ____

↓ ↑ ↑

$\frac{-6}{2} = (-3)^{2}$

x² - 6x + 9 = 12 + 9

(x - 3)² = 21

*******************************************************

Answer: (x - 6)² = 26

Step-by-step explanation:

2x² - 24x = -20

÷2 ÷2 ÷2

x² - 12x = -10

x² - 12x + ____ = -10 + ____

↓ ↑ ↑

$\frac{-12}{2} = (-6)^{2}$

x² - 12x + 36 = -10 + 36

(x - 6)² = 26

8 0

3 years ago

3.629 rounded to the nearest tenth?

Nastasia [14]

Answer: Hello, 6

Therefore, the tenths value of 3.629 remains 6. The following table contains starting numbers close to 3.629 rounded to the nearest 10th.

...

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Help with num 9 please. thanks

Alik [6]

Answer:

See Below.

Step-by-step explanation:

We want to show that the function:

$f(x) = e^x - e^{-x}$

Increases for all values of x.

A function is increasing whenever its derivative is positive.

So, find the derivative of our function:

$\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]$

Differentiate:

$\displaystyle f'(x) = e^x - (-e^{-x})$

Simplify:

$f'(x) = e^x+e^{-x}$

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of x.

8 0

3 years ago

Segment addition with variables

oksian1 [2.3K]

x equals 22

<h2>Explanation:</h2>

____________________________________________

The Segment Postulate states the following:

Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:

$\overline{AB}=\overline{AC}+\overline{CB}$

____________________________________________

From the figure:

$\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40$

Our goal is to find x:

$\overline{AB}=\overline{AC}+\overline{CB} \\ \\ Substituting \ values: \\ \\ 40=(8+x)+10 \\ \\ 18+x=40 \\ \\ Subtracting \ 18 \ from \ both \ sides: \\ \\ 18-18+x=40-18 \\ \\ \boxed{x=22}$