Step-by-step explanation:
okay I think you can solve this question now ☺️
4z+2(z-4)=3z+11 perform indicated multiplication on left side
4z+2z-8=3z+11 combine like terms on left side
6z/-8=3z+11 add 8 to both sides
6z=3z+19 subtract 3z from both sides
3z=19 divide both sides by 3
z=19/3
z=6 1/3
So there is only one solution when z=6 1/3
(x - 6) * 2
I'm assuming this is the expression that you typed out, if it isn't, please let me know in the comments :)
Use the distributive property:
= 2(x) - 2(6)
Multiply and simplify
= 2x - 12
This should be the expression that is equivalent to the original. Let me know if you need any clarifications, thanks!
Answer:
1
Step-by-step explanation:
1) First, place the given equation in slope-intercept form (
format) to find its slope easier. Isolate the y:

So, the equation of the line in slope-intercept form is
. When an equation is in slope-intercept form, the
, or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.
2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.
To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as
-- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.