Drag a symbol to the first box and a number to the second box to complete the solution to this inequality. Each number or symbol
1 answer:
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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
The problem is:
We now do L.C.M. of numerator and add, also do L.C.M. of denominator and add together:
Dividing by a fraction is same as multiplying by its reciprocal, so we have:
x cancels out, so can multiply and write:
This is the simplified form.
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