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julia-pushkina [17]
2 years ago
5

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

Mathematics
1 answer:
statuscvo [17]2 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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Can someone please help me!
Anton [14]

Answer:

D

Step-by-step explanation:

Let's derive the equations for the two graphs;

For the graph towards the right,

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(2,1) and (3,2)

The slope = 2-1/ 3-2 = 1/1 = 1

From the general equation of a line

y = mx + c = 1× x + (-1) = x-1

y = x-1

Similarly for that towards the left we have;

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(2,1) and (3,2)

The slope = 2-1/ 3-2 = 1/1 = 1

From the general equation of a line

y = mx + c = 1× x + (-1) = x-1

y = x-1

Similarly for that towards the left we have;

The slope = y2-y1/x2-x1; so we choose two corresponding points (x1,y1); (x2,y2)

Let's choose points;

(-7,0) and (-4,-3)

Slope = -3-0/ -4-(-7) = -3/ 3 = -1

From the general equation of a line

y = mx + c = -1× x + c = -x + c

Since c is not obvious we can find the equation by picking just a point along the graph along side an arbitrary (x,y) point hence we have for slope;

If we pick (-7,0)

y-0 / x-(-7) = -1

y / x+7 = -1

y = -x -7

The equations of the graphed lines are;

y=x-1

y=-x-7

Look at option D you we see it's the same as the equation of the graph towards the right y=x-1

For the records

y=[x+3]-4 = x+3-4 = x-1

4 0
3 years ago
Find two consecutive even integers whose sun is 64
igomit [66]
31 and 33.................

5 0
3 years ago
Read 2 more answers
Please make this quick
AveGali [126]

Answer:

27

Step-by-step explanation:

3x3+2x9=27

8 0
3 years ago
4. Solve for w:<br> -33 = 6 - 3w
gavmur [86]

Answer:

13 =w

Step-by-step explanation:

-33 = 6 - 3w

Subtract 6 from each side

-33-6 = 6 - 3w-6

-39 = -3w

Divide each side by -3

-39/-3 = -3w/-3

13 =w

3 0
3 years ago
Read 2 more answers
Ill cashapp you for your help..
Lelechka [254]
Your answer would 72.6 inches. The way you solved the answer is by adding all the numbers up, then dividing by how many ever numbers you have. Then, you’ll have your answer.
6 0
3 years ago
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