You need these two basic solutions and facts to find the equation of a line:
- If you know the gradient
and one point 
:
- If you know the gradient two points
:
- The slope of a line is the coefficient m when you write it in the
form - Parallel lines have the same slope
- The slopes of perpendicular lines give -1 when multiplied
We can use this list to solve all the exercises:
b)
Use the first equation to get
c)
Use the second equation to get
d) same as c)
e) We derive the slope of the line by writing it as
So, the slope is -1/5. From here, it's the same as b)
f) same as e)
g) Again we find the slope as
so the slope is -3, and a perpendicular line has slope 1/3. From there, it's the same as b).
Answer:
1/16
Step-by-step explanation:
Here: 64x^2+12x = 1
Then, 64x^2 +12x -1=0
The delta = 12^2 - 4*64*(-1)= 400 = 20^2
These two solutions are:
(-12+20)/(2*64)= 8/(2*8*8)= 1/16
(-12-20)/(2*64) but this is negatif.
1/16 is the positif solution.
Hope that useful for you.
Answer:
The opción b
Step-by-step explanation:
the profit is defined by
In this case 
is the profit to sell 100 television and is calculated
Answer:
Step-by-step explanation:
the answer is 8 because if you hv the equation 24/x equals 3 multiply both sides by x and u get 24=3x and then divide both sides by 3 and u get 8
Answer:
m = 10
Step-by-step explanation:
According to the picture attached, we can see the angles formed.
The angle on the top (5m+100) is sided with the angle 2m+10. This means that they are supplementary angles, their sum is 180°.
So,
5m+100+2m+10 = 180
5m+2m=180-100-10
7m = 70
m = 10
