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
Well think about it this way -9 times what equals 252 you already know x is going to be a negative number because the outcome is positive so try doing the problem backwards 252/-9=-28 so x=-28
Answer:
<em>y = 2x + 4 </em>
Step-by-step explanation:
y = - 
x - 3
Slope of perpendicular line is "2"
( - 3 , - 2 )
y + 2 = 2( x + 3 )
<em>y = 2x + 4</em>
Answer:
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Step-by-step explanation:
In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.
Given function is:
Taking first derivative
Now the first derivative has to be put equal to zero to find the critical value
The function has only one critical value which is 5.
Taking 2nd derivative
As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5
The value can be found out by putting x=5 in the function
Hence,
<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>
Hence,
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Answer:
4.5
Step-by-step explanation:
6x + 42 = 18x - 12 (alternate angles)
or, 18x - 6x = 42+12
or, 12x = 54
or, x = 54/12
x= 4.5
