All categories

3 years ago

Find the slope of each line defined below and compare their values. Down-drop Less than, greater than, equal to.

Mathematics

1 answer:

Agata [3.3K]3 years ago

4 0

Answer:

$\displaystyle equal\:to \\ Line\:B: 1 \\ Line\:A: -1$

Step-by-step explanation:

Starting from the y-intercept of $\displaystyle [0, -2],$ you do $\displaystyle \frac{rise}{run}$ by either moving one block south over one block west or one block north over one block east [west and south are negatives].

Now, for Line A, we need to convert this Linear Standard Equation to Slope-Intercept Form, $\displaystyle y = mx + b,$ where the slope is represented by m:

x + y = 3

- x - x

__________

$\displaystyle y = -x + 3$

So, the slope of Line A is $\displaystyle -1,$ and since −1 is less than 1, less than would be the answer, HOWEVER, they BOTH have some slope of 1, so since −1 is the negative absolute value of 1, equal to will be the answer.

I am joyous to assist you anytime.

You might be interested in

Sheriff raises is 2 ft wide 6 ft long 2 ft deep what is the volume of her freezer

USPshnik [31]

Answer:24sq.ft.

Step-by-step explanation: v=6*2*2

6×2=12

12×2=24sq.ft.

5 0

3 years ago

Is the function in the table linear or nonlinear and why? x y 0,−100 and 1,-50 and 2,0 and 3,100 and 4,150. (A)The function is n

Studentka2010 [4]

Answer:

The correct option is c.

Step-by-step explanation:

Linear function: The rate of change of a linear function is always constant.

Non-Linear function: The rate of change of a non-linear function is not constant.

From the given coordinate pairs it is noticed that the function is passing through the points (0,-100), (1,-50), (2,0), (3,100) and (4,150).

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of function for points (0,-100) and (1,-50) is

$m_1=\frac{-50-(-100)}{1-0}=50$

The slope of function for points (2,0) and (3,100) is

$m_2=\frac{100-0}{3-2}=100$

Since the slopes of function are different, therefore the given function is non-linear.

The function is not linear because the rate of change is not constant and option c is correct.

7 0

3 years ago

Read 2 more answers

What is the following product? ^3 square root 24 times ^3 square root 45

torisob [31]

Answer:

$6 \sqrt[3]{5}$

Step-by-step explanation:

For the problem, $\sqrt[3]{24} *\sqrt[3]{45}$ , use rules for simplifying cube roots. Under the operations of multiplication and division, if the roots have the same index (here it is 3) you can combine them.

$\sqrt[3]{24} *\sqrt[3]{45} = \sqrt[3]{24*45}$

You can multiply it out completely, however to simplify after you'll need to pull out perfect cubes. Factor 24 and 45 into any perfect cube factors which multiply to each number. If none are there, then prime factors will do. You can group factors together such as 3*3*3 which is 27 and a perfect cube.

$\sqrt[3]{24*45} =\sqrt[3]{3*8*5*3*3} = 6 \sqrt[3]{5}$