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julia-pushkina [17]
3 years ago
5

If rx – st = r, which expression represents r.

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0

Answer:

{ \tt{rx - st = r}}

» Collect like terms, r terms on the left hand side by subtracting r from both sides and adding st to both sides

{ \tt{(rx - st) { \green{ - r + st }} = r{ \green{ - r + st}}}} \\ { \tt{rx - r = st}}

» On the left hand side, factorise out r

{ \tt{ \green{r(x - 1)} = st}} \\  \\ { \boxed{ \tt{ \blue{ \: r =  \frac{st}{x - 1} }}}}

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How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):

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In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:

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