Write an equation that is perpendicular to
3x - 5y = 5 and passes through the point
(9, -14).

Step-by-step explanation:

Given:

Equation of the line.

And passes through the point (9, -14)

Solution:

Now, we have to write an equation that is perpendicular to 3x -5y = 5 and passes through the point (9, -14).

Now, we write the given equation in form.

So, the slope of the line is .

The slope of the perpendicular line is

now, we substitute m value in above relation.

So the equation of the perpendicular line is:

--------(1)

Lets us find  b from the given points (9, -14).

Now, we substitute b value in equation 1.

Therefore, the equation of the perpendicular line is

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40