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3 years ago

10

(8,1), (-2,-5) midepoint

1 answer:

Natali [406]3 years ago

4 0

Answer:

(3, -2)

Step-by-step explanation:

The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5. We add 5 to -2, obtaining 3 units.

The y-coordinate of the midpoint is found similarly. The vertical distance between the two given points is 1 - (-5), or 6 units. Half of that is 3 units. Adding 3 units to -5 yields -2.

The midpoint is (3, -2).

Thus, the coordinates of the midpoint at (-7, 6)

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Yakvenalex [24]

Answer:

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4 years ago

Together Kate and Matt have 47 cards. If Kate and Zach combine cards they have 126. If Matt and Zach combine they have 93. How m

Ede4ka [16]

Answer:

Matt has 7 cards.

Step-by-step explanation:

Let K, M and Z represent number of cards that Kate, Matt and Zach have.

We have been given that together Kate and Matt have 47 cards. We can represent his information in an equation as:

$K+M=47...(1)$

We are also told that Kate and Zach combine cards they have 126. We can represent his information in an equation as:

$K+Z=126...(2)$

Further, Matt and Zach combine they have 93. We can represent his information in an equation as:

$M+Z=93...(3)$

Upon subtracting equation (3) from equation (2), we will get:

$K-M=126-93$

$K-M=33$

$K=33+M$

Upon substituting this value in equation (1), we will get:

$33+M+M=47$

$33-33+2M=47-33$

$2M=14$

$M=\frac{14}{2}=7$

Therefore, Matt has 7 cards.

3 0

4 years ago

Read 2 more answers

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Ainat [17]

Answer:

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3 years ago

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sveticcg [70]

Answer:

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Step-by-step explanation:

1/2 (10z + 8)

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