Answer:
Step-by-step explanation:
In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:
and
3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and
So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):
* and
and
so
** and, in standard form:
4y = -3x + 29 and
3x + 4y = 29***
* : point-slope form
** : slope-intercept form
*** : standard form
Laura has a total of 13 books. To pick 3 out of this 13 books is expressed as 13C3 which is equal to 286. Now to pick a science and 2 mathematics books may be expressed as,
(4C2) x (6C1) = 36
The probability is the quotient when 36 is dived by 286. The answer is 18/143 which is approximately equal to 0.126.
Answer:
3.141592653589793238462643
Step-by-step explanation:
Pretty obvious.
what an "Nerd"
Answer:
it would be 3/6 because you rise 3 and run 6, the equation for slope is rise over run. so 3/6 is one half.
Answer:
59
Step-by-step explanation:
