All categories

2 years ago

Solve for x: −5|x + 1| = 10

Mathematics

1 answer:

Elena-2011 [213]2 years ago

4 0

$|a|\geq0\ for\ a\in\mathbb{R}\\\\|a|=a\ for\ a\geq0\\\\|a|=-a\ for\ a$

You might be interested in

Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

3 years ago

How do you The the answer of equation of the boundary line & to write the inequality whose graph is shown? How do you work i

Firlakuza [10]

This is the equation
$y = - 1x$

good luck

3 0

2 years ago

A letter is selected at random from each of the words, Sure and WIN. Find

Orlov [11]

Answer:

a) 1/8 b) 1/6

Step-by-step explanation:

b) 6/36 = 1/6

a) 1/2 x 1/2 x 1/2 = 1/8

7 0

1 year ago

Read 2 more answers

The number of bacteria in a certain population increases according to an exponential growth model, with a growth rate of 3.5% pe

uysha [10]

Generic exponential growth model: y = Ao[1+r]^t

In this case: r = 3.5% = 0.035

y = 2Ao .....[the double of the initial value]

Then: 2Ao =Ao (1 + 0.035)^t

(1.035)^t =2

Take logarithm to both sides

t ln(1.035) = ln(2)

t = ln(2) / ln(1.035) = 0.693 / 0.0344 = 20.15

Answer: 20.15 hours.

3 0

3 years ago

NEED HEPL ASAP. If mZPOQ = 19, and mZQOR = 31<br> and mZROS = 15, what is mZPOS?

DaniilM [7]

Answer:

Step-by-step explanation:

just to sum all the given measurements:

19+31+15=65.

4 0

2 years ago