The points M(-7,2), N(-3,4), O(-5,8)M(−7,2),N(−3,4),O(−5,8), and P(-9,6)P(−9,6) form a quadrilateral. Find the desired slopes an
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The slope of line PO and MN is 0.5. And the slope of the line ON and MP is negative 2. Then each length of the quadrilateral is 4.47 units.
<h3>What is a quadrilateral?</h3>
It is a quadrilateral with four sides. The total interior angle is 360 degrees.
The points M(−7,2), N(−3,4), O(−5,8), and P(−9,6) form a quadrilateral.
Then the slope of each line of the quadrilateral will be
The slope of the line PO will be
PO = (8-6)/(-5+9)
PO = 2/4
PO = 0.5
The slope of the line ON will be
ON = (8-4)/(-5+3)
ON = 4/(-2)
ON = -2
The slope of the line MN will be
MN = (4-2)/(-3+7)
MN = 2/4
MN = 0.5
The slope of the line MP will be
MP = (6-2)/(-9+7)
MP = 4/(-2)
MP = -2
Then each length of the quadrilateral will be
The length of PO will be
PO = √[(-9+5)² + (6-8)²]
PO = 4.47
The length of ON will be
ON = √[(-5+3)² + (8-4)²]
ON = 4.47
The length of MN will be
MN = √[(-3+7)² + (4-2)²]
MN = 4.47
The length of MP will be
MP = √[(-9+7)² + (6-2)²]
MP = 4.47
More about the quadrilateral link is given below.
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Answer: The answer is If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make profit.
Hope this helps!!
The period of the y=1/2 sin (2x)-3 is 2.
We have given that,
y=1/2 sin (2x)-3
We have to determine the period
<h3>
What is the period?</h3>
A period is the part of the menstrual cycle when a woman bleeds from her vagina for a few days.
Normally the period of sin(2x) is 2x, but the pi inside the sin(2x) is a horizontal compression by a factor of 1/pi.
So 2pi·1/pi = 2
The 1/2 and -3 do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.
To learn more about the period visit:
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