Answer:
<u>Step-by-step explanation:</u>
(1, 2) and (4, -3)
First, find the slope (m):
m =
=
Next, choose ONE of the points and input the point and slope into the Point-Slope formula: y - y₁ = m(x - x₁)
y - 2 = (x - 1)
y - 2 = +
y = +
Then, determine which inequality symbol will result in (-2, 8) being False (since it is not a solution):
y ___ +
8 ___ +
8 ___
8 >
so ≤ makes the statement False
⇒ y ≤ +
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If you need a "system" of inequalities, then you need another equation.
There are infinite possibilities. Graph the points to see what works.
y < 8 or x > -2 are two examples.
---> I just realized that the system can be simpler than what I did above:
<h3><u>Given </u><u>:</u><u>-</u></h3>
- We have given one rectangle whose 3 by 4th part is shaded and remaining part is non shaded.
<h3>
<u>To </u><u>Find </u><u>:</u><u>-</u><u> </u></h3>
- We have to find the area of shaded region of the given figure .
<h3>
<u>Let's </u><u>Begin </u><u>:</u><u>-</u><u> </u></h3>
<u>Here</u><u>, </u><u>We </u><u>have </u>
- The dimensions of large rectangle as 12 units and 8 units
- <u>That </u><u>is</u><u>, </u>
- The dimensions of non shaded rectangles are 9 units and 4 units
<u>We </u><u>know </u><u>that</u><u>, </u>
Area of rectangle
<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>
Area of large rectangle
Thus, The area of large rectangle is 96 units² .
<h3>
<u>Now</u><u>, </u></h3>
Area of non - shaded rectangle
Thus, The area of non shaded rectangle is 36 units² .
<h3>
<u>Therefore</u><u>, </u></h3>
Area of shaded region
= Area of large rectangle - Area of non shaded rectangle
<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>
Hence, The total area of shaded region is 60 sq.units.
There are no values of x that make the equation true so no solution.
5 gallons and each bottle is 3/8
8 times 5 equals 40
sooo =(total parts of the gallon being cut into eighths) 40/8
Now count by 3's to try to get as close as 40 :
3/8= 1 bottle
6/8= 2 bottles
9/8= 3 bottles
12/8= 4 bottles
15/8= 5 bottles
18/8= 6 bottles
21/8= 7 bottles
24/8= 8 bottles
27/8= 9 bottles
30/8=10 bottles
33/8= 11 bottles
36/8=12 bottles
39/8= 13 bottles
Answer: 13 bottles can be filled with 1/8 being left over