Answer:

Step-by-step explanation:
The equation of the line you will find should be in the form y =mx+c , where m is the gradient and c is the y intercept.
The gradient of a line that is perpendicular to a line [of a known gradient] is the negative reciprocal of the gradient of the first. i.e. if a is the known gradient and the perpendicular gradient is b, ab = -1. Therefore the -3b=-1 and b= 1/3
you can now write y = mx +c as y = 1/3x +c
As you have been given a coordinate, you can input these values into y= 1/3x + c
-12 = 1/3(6) +c
-12 - 2 = c
c = -14
hence the equation of the line is y= 1/3x -14
Answer:
<em>i: </em>x=-2, x=1
<em>ii: </em>x=-1/2
Step-by-step explanation:
Quadratic form:
You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

<em>"first"</em> would be
, which would equal 
<em>"outside"</em> would be
, which would equal 
<em>"inside"</em> would be
, which would equal 
<em>"last" </em>would be
, which would equal 
Now you need to combine the terms so that they are one after the other

Combine like terms, and you should get:

i Solution
<em>You need to get the variable by itself.</em>
<em>Subtract two from both sides</em>

<em>Add one to both sides.</em>

ii Solution
<em>Add all the terms.</em>

Answer:
T=4 plz make brainlest answer
Step-by-step explanation:
Monday overall cost 36+5t
Tuesday overall cost 20+9t
36+5t=20+9t
-20 -20
16+5t =9t
-5t -5t
16=4t
t=4
Check
36+5t=20+9t (t=4)
36+20=20+36
It works
He had 160$ when he first started
42/12 = 3.5, 63/18 = 3.5, therefore we will be multiplying the last time by 3.5. 40x3.5= 140, and therefore, the number of pencils produced in 40 seconds is 140