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2 years ago

What is the gradient of the straight line 2y = -3x - 8 ?

Mathematics

1 answer:

lions [1.4K]2 years ago

8 0

Answer:

- $\frac{3}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

2y = - 3x - 8 ( divide all terms by 2 )

y = - $\frac{3}{2}$ x - 4 ← in slope- intercept form

with gradient = - $\frac{3}{2}$

You might be interested in

Two parallel lines were cut by a transversal. Which of the following

meriva

Answer:

B. a pair of alternate exterior angles with measures of 130° and 50°

Step-by-step explanation:

Alternate exterior angles formed when two parallel lines are cut across by the same transversal line, are said to be congruent.

Therefore, a pair of alternate exterior angles cannot have different angle measures of 130° and 50°. Rather, both alternate exterior angles should be of equal measure of degree.

All other scenarios are possible result except option B: "a pair of alternate exterior angles with measures of 130° and 50°".

7 0

2 years ago

translate the words into a algebraic expression. "twenty-seven more than a number squared" "one less than three times a number"

Stella [2.4K]

Answer:

$n^2+27$ and $3n-1$

Step-by-step explanation:

n is a number.

a number squared is $n^2$

27 more than a number squared is $n^2+27$

n is a number.

three times a number is 3 times n, or $3n$

one less than that is $3n-1$

Hope this answer helped! :)

3 0

2 years ago

Find the cross product (7,-4,5) x (6,2,9). is the resulting vector perpendicular to the given vectors ?

Nutka1998 [239]

Answer:

Step-by-step explanation:

On edge

7 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

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