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4 years ago

What is an equation of the line that passes through the points (1, 6) and (1,2)?

Mathematics

1 answer:

11Alexandr11 [23.1K]4 years ago

5 0

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

First let's find the slope using the two points given:

The formula for slope is

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case...

$y_{2} =2\\y_{1} =6\\x_{2} =1\\x_{1} =1$

^^^Plug these numbers into the formula for slope...

$\frac{2-6}{1-1}$

$\frac{-4}{0}$

You slope is undefined.

This means that your line will form a vertical line at x = 1

Hope this helped!

~Just a girl in love with Shawn Mendes

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The product of 2 consecutive positive odd integers is 483. Write the equation that would be used to find x, the smaller integer.

Montano1993 [528]

Answer: 21

Step-by-step explanation:

Let the consecutive odd numbers be represented by x and x+2. Therefore,

x × (x+2) = 483

x² + 2x = 483

x² + 2x - 483 = 0

x² + 23x - 21x - 483 = 0

x(x + 23) - 21(x + 23) = 0

(x - 21) = 0

x = 0 + 21

x = 21

The smaller integer is 21

The larger integer is 21 + 2 = 23.

5 0

3 years ago

Which statement are correct about the two-way frequency?

agasfer [191]

A. False. The data is quantitative because we're dealing with numeric values instead of things like names, colors, etc.

B. False. The row categories are "students" and "teachers"

C. True. This value (2) is in the "teachers" row and "does not wear glasses" column.

D. False. The value 32 represents the number of students who wear glasses. See row1, column1

E. True. Look at the last value of the "teachers" row.

===================================================

In summary, the answers are: C and E

5 0

3 years ago

Read 2 more answers

WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$