kay4358

10.02.2022 •

Mathematics

What is the area of the square whose side measures (3x - 4) m? (Hint: Area of the square = s2).

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Ответ:

smilxess

14.12.2020

Mathematics

1) y = -x , 2) $y = -\frac{3}{2}\cdot x +2$ , 3) x = 4 , 4) $y = \frac{1}{2}\cdot x + 4$ , 5) $y = 2\cdot x -10$ , 6) Perpendicular, 7) Neither, 8) Neither, 9) Sometimes, 10) Never true.

Step-by-step explanation:

The slope-intercept form has the following form:

$y = m\cdot x + b$

Where:

- Dependent variable.

- Independent variable.

- Slope.

- Intercept.

1) The slope of the function is -1. The intercept has to be found:

$-2 = -1\cdot 2 + b$

b = 0

y = -x

2) The slope of the function is -3/2. The intercept has to be found:

$-1 = -\frac{3}{2}\cdot 2 + b$

b = 2

$y = -\frac{3}{2}\cdot x +2$

3) The slope of the function is undefined. (Vertical line) The function is equal to:

x = 4

4) The slope of the function is 1/2. The intercept has to be found:

$3 = \frac{1}{2}\cdot (-2)+b$

b = 4

$y = \frac{1}{2}\cdot x + 4$

5) This expression has a point-slope form. The slope of the function is 2. The intercept has to be found:

$0 = 2\cdot (5) + b$

b = -10

$y = 2\cdot x -10$

6) The functions y = x + 11 and y = -x +2 have different slopes and observe the relationship of $m = -\frac{1}{n}$ . Both equations are perpendicular to each other.

7) The functions $y = -2\cdot x + 3$ and $x = \frac{7}{2}$ have different slope and do not observe the relationship of $m = -\frac{1}{n}$ . Both equations are not perpendicular nor parallel to each other.

8) The functions $y = 4\cdot x - 2$ and $y = \frac{1}{4}\cdot x$ have different slope and do not observe the relationship of $m = -\frac{1}{n}$ . Both equations are not perpendicular nor parallel to each other.

9) Sometimes. Two lines with positive slopes are parallel if and only if each one has the same slope.

10) Never true. Two lines with different y-intercepts that are supposed to be perpendicular must observe the following relationship in their slopes: $m = -\frac{1}{n}$ . Slopes must be distinct.

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What is the area of the square whose side measures (3x - 4) m? (Hint: Area of the square = s2). Pls i need it now