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Blizzard [7]
3 years ago
14

Examine the system of equations. Do you think the lines will intersect? Explain.

Mathematics
2 answers:
Fed [463]3 years ago
8 0

Answer:


Step-by-step explanation:

Sample Response/Explanation: Yes, the lines will intersect because the slopes are different. Also, both lines have a y-intercept of -7, so they both include the point (0, –7).

Which did you include in your response? Check all that apply.

The lines will intersect.

The slopes are different.

The point (0, –7) lies on both lines.

Alchen [17]3 years ago
7 0
Yep they do, because if you plug in y for both equations, you get x=0. To find y, plug in 0 for either equation to get -7.  (0,-7) should work for both equations since the intersection point is the point where both equations meet.
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8 0
4 years ago
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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
pochemuha

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.

brainly.com/question/13805601

#SPJ1

4 0
2 years ago
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