Which parallelogram has an area of 60 square units?
2 answers:
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Answer:
Then the answer is option a
a. 0<x 10
Step-by-step explanation:
perimeter + height is less than 130 inches.
If height is 60 inches.then perimeter left is 70 inches.
If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.
perimeter of rectangle is
It has two widths and two lengths because that's what rectangles do.
width of base "x"
Then the length is 2.5x
perimeter = 2 width + 2 length
=
= 2x + 5x
= 7x
but perimeter can't be more than 70 inches.
So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.
7x + 60 ≤ 130
7x ≤ 70
x ≤ 10
Then the answer is option a
a. 0<x≤10
Answer:
Therefore,
(x , y) YES / NO
(-4, -5) Yes, It is a Solution.
(1 , - 3) No, not a Solution.
(9 , 6) No, not a Solution.
(-6 , 2) No, not a Solution.
Step-by-step explanation:
Given:
To Determine:
Given ordered pair is a solution or not ?
Solution:
For (-4,-5)
Substitute x = -4 and y = -5 in above equation
Left Hand Side = 4 × (-4) - 7 × (-5)
= -16+35
= 19
Right Hand Side = 19
Left Hand Side = Right Hand Side
Satisfied
Hence (-4, -5) is the SOLUTION to 4x - 7y =19 (YES)
For (1, -3)
Substitute x = 1 and y = -3 in above equation
Left Hand Side = 4 × (1) - 7 × (-3)
= 25
Right Hand Side = 19
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (1, -3) is NOT the Solution to 4x - 7y =19 (NO)
For (9, 6)
Substitute x = 9 and y = 6 in above equation
Left Hand Side = 4 × (9) - 7 × (6)
= -6
Right Hand Side = 19
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (9, 6) is NOT the Solution to 4x - 7y =19 (NO)
For (-6, 2)
Substitute x = -6 and y = 2 in above equation
Left Hand Side = 4 × (-6) - 7 × (2)
= -38
Right Hand Side = 19
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (-6, 2) is NOT the Solution to 4x - 7y =19 (NO)
Therefore,
(x , y) YES / NO
(-4, -5) Yes, It is a Solution.
(1 , - 3) No, not a Solution.
(9 , 6) No, not a Solution.
(-6 , 2) No, not a Solution.
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Next, divide both sides by X, and <u>your answer will be </u>