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sergiy2304 [10]
3 years ago
8

What are the coordinates of one of the vertices of a rectangle when two sides are given by the lines x - 3y = -8 and 3x + y = 6?

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Answer:

(1, 3)

Step-by-step explanation:

x - 3y = -8

3x + y = 6

Isolate a variable in one of the equations:

y = 6 - 3x

Substitute the value of y into the other equation:

x - 3(6 - 3x) = -8

Use distributive property:

x - 18 + 9x = -8

Combine like terms:

10x - 18 = -8

Isolate the variable:

10x = 10

x = 1

Substitute the value of x into any equation:

3(1) + y = 6

3 + y = 6

Isolate the variable:

y = 3

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Assume the annual day care cost per child is normally distributed with a mean of ​$9000 and a standard deviation of ​$1000. What
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Answer:

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Step-by-step explanation:

Given:

  • \sf \mu=9000
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2 years ago
How can i use inverse operations to write the related multiplication and division sentences???
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8 0
3 years ago
Write a pair of equivalent expressions using distributive property
bulgar [2K]
The distributive property "distributes" a number through all numbers/terms in a set of parentheses by multiplication.


EXAMPLES
Equivalent expressions are the first and last steps. The middle step just shows the work.

5(2 + 3x)= (5*2) + (5*3x)= 7 + 15x

4(2x + 4y)= (4*2x) + (4*4y)= 8x + 16y

10(4x + 5)= (10*4x) + (10*5)= 40x + 50


ANSWER:
Only one pair below is needed for your answer.

5(2 + 3x)= 7 + 15x

4(2x + 4y)= 8x + 16y

10(4x + 5)= 40x + 50


Hope this helps! :)

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3 years ago
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Answer:

Have a great day

Step-by-step explanation:

=3 1/2÷1/4

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=7×2

=14

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