Answer:
1
Step-by-step explanation:
If p = 1/3, you would square it (which is 1/9) then multiply that by 9 :)
Answer:
y = 2x + 1
Step-by-step explanation:
A line y = ax + b that is perpendicular to the other line y = (-1/2)x + 7
=> The product of 2 slopes of these 2 lines must be -1
=> a x (-1/2) = -1
=> a = 2
This line passes (2, 5) => 5 = 2*2 + b => 5 = 4 + b => b = 1
=> The equation of the line: y = 2x + 1
Hope this helps!
The equation of the first line can be written in point-slope form as
.. y = 3(x +1) -8
or
.. 3x -y = 5
The equation of the second line can be written in 2-point form as
.. y = (-1-3)/(10-(-6))*(x +6) +3
.. y = (-1/4)(x +6) +3
or
.. x +4y = 6
A graph shows the solution to this system is (x, y) = (2, 1).
_____
The second equation can be used to write an expression for x:
.. x = 6 -4y
This can be substituted into the first equation.
.. 3(6 -4y) -y = 5
.. 18 -13y = 5 . . . . . . . collect terms
.. 13 = 13y . . . . . . . . . add 13y-5
.. 1 = y . . . . . . . . . . . . divide by 13
From the above equation for x
.. x = 6 -4*1 = 2
(
, 3 )
to calculate the midpoint use the midpoint formula
midpoint = [
(9 + 0),
(- 1 + 7)] = (
, 3 )
Answer:
x >5
Step-by-step explanation:
-4(3-X) > 8
Divide by -4, remembering to flip the inequality
-4/-4(3-X) < 8/-4
3-x < -2
Subtract 3 from each side
3-x-3 < -2-3
-x <-5
Divide by -1, remembering to flip the inequality
x >5