What is the slope of the line that passes through the points (3,6) and (1, 2)? Write

Mathematics

2 answers:

Anestetic [448]3 years ago

7 0

The slope would be 2. to find slope use the formula attached.

Margarita [4]3 years ago

5 0

Using the formula to calculate slope y2- y1/ x2- x1 we can insert the given points to make the equation 6-2/ 3-1 after subtracting we get 4/ 2 which can also be written as 2.

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Write a trinomial EXPRESSION that is equivalent to 2x(3x-2)+5(3x-2)

Alexandra [31]

Just multiply out the given expression, combine like terms and arrange them in descending order by powers of x.

<span>2x(3x-2)+5(3x-2) => 6x^2 - 4x + 15x - 10

Combining like terms results in 6x^2 + 11x - 10 (answer)</span>

5 0

3 years ago

What much expression represents a rational number?

Pie

Answer:

$\displaystyle \frac{2}{7}+\sqrt{121}$

Step-by-step explanation:

<u>Rational Numbers</u>

A rational number is any number that can be expressed as a fraction

$\displaystyle \frac{a}{b}, \ b\neq 0$

for a and b any integer and b different from 0.

As a consequence, any number that cannot be expressed as a fraction or rational number is defined as an Irrational number.

Let's analyze each one of the given options

$\displaystyle \frac{5}{9}+\sqrt{18}$

The first part of the number is indeed a rational number, but the second part is a square root whose result cannot be expressed as a rational, thus the number is not rational

$\pi + \sqrt{16}$

The second part is an exact square root (resulting 4) but the first part is a known irrational number called pi. It's not possible to express pi as a fraction, thus the number is irrational

$\displaystyle \frac{2}{7}+\sqrt{121}$

The square root of 121 is 11. It makes the whole number a sum of a rational number plus an integer, thus the given number is rational

$\displaystyle \frac{3}{10}+\sqrt{11}$