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s2008m [1.1K]
3 years ago
14

Endpoint (-6,0) and Midpoint (2,3)

Mathematics
1 answer:
serg [7]3 years ago
7 0

Answer:

<h2>(10 , 6)</h2>

Step-by-step explanation:

(-6,0) =(x_1,y_1)\\ (2,3) = (x, y )\\\\x = \frac{x_1+x_2}{2}\\ \\2 = \frac{-6+x_2}{2}\\\\ 2\times 2 =-6x_2\\4+6=x_2\\10=x_2\\\\y = \frac{y_1+y_2}{2}\\ \\3 = \frac{0+y_2}{2}\\ \\3\times 2 = 0+y_2\\6 -0=y_2\\6=y_2

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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
3 years ago
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Alex_Xolod [135]

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Step-by-step explanation:

                               

5 0
2 years ago
(2x+5y-z)+(-6x-4y+7z)
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Answer:

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Step-by-step explanation:

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our new expression is:

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Please explain how to solve this step by step.
Phantasy [73]

Answer:

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Step-by-step explanation:

Two rules of exponents come into play.

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Applying the first rule, we have ...

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Applying the second rule gives the simplified form ...

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2 years ago
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