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Anit [1.1K]
3 years ago
7

Which of the following are incorrect expressions for slope?

Mathematics
2 answers:
vfiekz [6]3 years ago
8 0

Answer:

Option B and C are correct.

\frac{x_2-x_1}{y_2-y_1}

\frac{run}{rise} are the expression incorrect for slope

Step-by-step explanation:

Slope is defined as the change in the dependent variable  relative to the change in the dependent variable

or the ratio of the horizontal changes to vertical changes between any two points on the graph of the line.

The vertical changes between any two points is rise

The horizontal changes between any two points is run.

Formula for slope is given by:

For any two points (x_1, y_1) and (x_2, y_2)

then slope is:

\text{Slope} =\frac{rise}{run}= \frac{y_2-y_1}{x_2-x_1}

or we can write this as:

Δy = y_2-y_1

Δx = x_2-x_1

⇒\text{Slope} = \frac{\triangle y}{\triangle x}

Therefore, the expression which are incorrect for slope  are;

\frac{x_2-x_1}{y_2-y_1}

\frac{run}{rise}

yaroslaw [1]3 years ago
7 0

Answer:

Choice B and choice C are incorrect expression for slope.

Step-by-step explanation:

Slope is defined as the steepness of a line. It is also called gradient.It is denoted by m.

It is ratio of change in the dependent variable and independent variable.

hence, m = Δy / Δx = y₂-y₁ / x₂-x₁

The change in dependent variable is called rise and the change in dependent variable is called run.

So,   m = rise / run

hence, choice B. and choice C. are incorrect expressions for slope.

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Please help please these are short answers
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Answer: The answers are given below.


Step-by-step explanation:  The calculations are as follows:

(19) Weight of the puppy last week is

W_\ell=2\dfrac{1}{2}~\textup{lb},

and weight of the puppy this week is

W_p=7\dfrac{1}{4}=\dfrac{29}{4}~\textup{lb}.

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(20) Time taken in Route 1 = 1 hour 30 minutes.

Time taken in Route 2 = 1 hour 45 minutes.

Time taken in Route 3 = 1 hour 35 minutes.

Time taken in Route 4 = 1 hour 25 minutes.

Since we want to spent the least amount of time on the bus, so we will be taking route 4.

(21) Time taken by Nazia to complete her language arts homework is

H_\ell=\dfrac{4}{9}~\textup{hr},

and the time taken by Nazia to complete her Mathematics homework is

H_m=\dfrac{2}{9}~\textup{hr}.

Therefore, Nazia takes more time to complete Language Arts homework, by

H=H_\ell-H_m=\dfrac{4}{9}-\dfrac{2}{9}=\dfrac{2}{9}~\textup{hr}.

(22) Quantity of Aluminium collected by Maya is

A_m=\dfrac{4}{20}=0.2~\textup{lb},

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A_a=\dfrac{7}{8}=0.87~\textup{lb}.

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(a) Abigail collected more aluminium

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(b) Total Aluminium collected by both the girls is

T=A_m+A_a=\dfrac{4}{20}+\dfrac{7}{8}=\dfrac{8+35}{40}=\dfrac{43}{40}~\textup{lb}.

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S_w=3\dfrac{1}{4}=3.25~\textup{in.},

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S_s=3\dfrac{4}{5}=3.8~\textup{in.}.

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Thus, all the questions are answered.

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3 years ago
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