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Vera_Pavlovna [14]
3 years ago
11

Jim wants to build a rectangular parking lot along a busy street but only has 2 comma 1200 feet of fencing available. If no fenc

ing is required along the​ street, find the maximum area of the parking lot.
Mathematics
1 answer:
IgorC [24]3 years ago
5 0
Sorry I can't find the answer but find other users sorry
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Suppose a line has slope -2/3 and passes through the point (1, 8). which other point must also be on the graph?
Arisa [49]
<h3>Answer:   Choice A.   (7,4)</h3>

============================================

Explanation:

Use the slope and given point to find the y intercept

y = mx+b

8 = (-2/3)*(1) + b

8 = -2/3 + b

8 + 2/3 = b

24/3 + 2/3 = b

26/3 = b

b = 26/3

The equation of the line is y = (-2/3)x + 26/3

To confirm this, plug in x = 1 and we should get y = 8, due to the point (1,8)

y = (-2/3)x + 26/3

y = (-2/3)*1 + 26/3

y = -2/3 + 26/3

y = (-2+26)/3

y = 24/3

y = 8

So that verifies we have the correct equation.

--------------

Next, go through each answer choice to see if the x coordinate of the point leads to the y coordinate.

If we try x = 7, then,

y = (-2/3)x + 26/3

y = (-2/3)(7) + 26/3

y = -14/3 + 26/3

y = (-14+26)/3

y = 12/3

y = 4

This shows that (7,4) is on the line. Choice A is the answer

That rules out choice B.

----------------

If we tried x = -5, then,

y = (-2/3)x + 26/3

y = (-2/3)(-5) + 26/3

y = 10/3 + 26/3

y = 36/3

y = 12

meaning that (-5,12) is on the line. That rules out choices C and D.

Refer to the graph below. It visually confirms that of the four answer choices, only point A is on the line. I used GeoGebra to make the graph.

5 0
2 years ago
After the first round on a television game show, the three contestants have -$300, $600, -$400. Which of the three dollar amount
Elanso [62]
-400 dollars as it it the lowest amount of money
4 0
3 years ago
The scale of the floor plan of a room is 1 cm : 6.5 m. On the floor plan, the room is 3 cm long by 2 cm wide. What are the actua
elena-s [515]

Answer:

The room is 19,5m long and 13m wide.

Step-by-step explanation:

1cm -> 6,5m

3cm -> 19,5m

2cm -> 13m

3 0
2 years ago
There's a one time fee of $27 to join the gym the monthly cost of using the gym is $18 write an equation for the relationship th
Sonbull [250]

y = 18x + 27
with y equaling the total and x equaling the number if months
5 0
3 years ago
mr.rivera bought some erasers to give his students. on monday , mr.rivera gave out 22 erasers. on Tuesday, he gave out 39 earser
Mumz [18]

Answer:

178 ERASERS

Step-by-step explanation:

YOU NEED TO START BACKWARDS. HE BOUGHT 76 ERASERS AND HE HAS 193, SO WHATEVER HE HAD AT THE END OF TUESDAY+76 IS HOW MUCH HE HAS ON WEDNESDAY. 193-76=117. ON TUESDAY, HE STARTED WITH ERASERS AT END OF TUESDAY+39 ERASERS. 117+39=156. ON MONDAY, HE STARTED WITH END OF MONDAY+22 ERASERS. 156+22=178

6 0
3 years ago
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