Answer:
Length: 6 ft
Width: 4 feet
Step-by-step explanation:
Length: L
Width: 2L - 8
2L + 2(2L - 8) = 20
2L + 4L - 16 = 20
6L = 36
L = 36/6
L = 6
W= 2(6)-8 = 4
The ordered pair which is a solution to the given inequality is: C. (2, 1).
<h3>What is an inequality?</h3>
An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
- Less than (<).
- Greater than (>).
- Less than or equal to (≤).
- Greater than or equal to (≥).
Next, we would test the ordered pair with the given inequality to determine a solution as follows:
For ordered pair (4, 4), we have:
3x + 2y < 15
3(4) + 2(4) < 15
12 + 8 < 15
20 < 15 (False).
For ordered pair (3, 3), we have:
3x + 2y < 15
3(3) + 2(3) < 15
9 + 6 < 15
15 < 15 (False).
7x - 4y > 9
7(3) - 4(3) > 9
21 - 12 > 9
9 > 9 (False)
For ordered pair (2, 1), we have:
3x + 2y < 15
3(2) + 2(1) < 15
6 + 2 < 15
8 < 15 (True).
7x - 4y > 9
7(2) - 4(1) > 9
14 - 4 > 9
10 > 9 (True)
For ordered pair (1, 0), we have:
3x + 2y < 15
3(1) + 2(0) < 15
3 + 0 < 15
3 < 15 (True).
7x - 4y > 9
7(1) - 4(0) > 9
7 - 4 > 9
3 > 9 (False)
Read more on inequality here: brainly.com/question/27166555
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Answer:
You must draw a right triangle and label the hypotenuse as 41 and the longest leg (horizontal in this case, since we are to determine the height) as 40. We do not know the height so call it h.
Now the Pythagorean (sp /) Theorem states that the square of the hyp. is equal to the sum of the squares of the two legs.
so, 41 ^ 2 = 40 ^ 2 + h ^ 2
41 ^ 2 = 1681 40 ^ 2 = 1600 Therefore h ^2 must be equal to 81. This means that h = 9.
The height is 9 inches.
Step-by-step explanation:
mark me as brainliest pls :)
~Alex
Answer:
Both 
and 
are solutions to the system.
Step-by-step explanation:
In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.
Step 1: Plug into 
The solution verifies the equation.
Step 2: Plug into 
The solution verifies both equations. Therefore, is a solution to this system.
Now we must check if the second point is also valid.
Step 3: Plug into
Step 4: Plug into
The solution verifies both equations. Therefore, is another solution to this system.
