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nirvana33 [79]
3 years ago
14

Point O lies between points M and P on a line. OM=34z and OP=36z-7. If point N is the midpoint of line MP, what algebraic equati

on can you use to find MN?
Mathematics
1 answer:
DiKsa [7]3 years ago
8 0
The line is stretched from M to P

The point O is in between M and P, so the length OM add length OP will give the full length of MP

OM = 34z
OP = 36z-7

The length MP = OM + OP = 34z+36z-7=70z-7

If N is the midpoint of MP, then the length MN is half of the length MP
MN = \frac{70z-7}{2}

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Pls answer and thanks!!
Keith_Richards [23]

Answer:

Problem:

Solve 3x−y=6;y=x−4

Steps:

I will try to solve your system of equations.

y=x−4;3x−y=6

Step: Solvey=x−4for y:

Step: Substitutex−4foryin3x−y=6:

3x−y=6

3x−(x−4)=6

2x+4=6(Simplify both sides of the equation)

2x+4+−4=6+−4(Add -4 to both sides)

2x=2

2x

2

=

2

2

(Divide both sides by 2)

x=1

Step: Substitute1forxiny=x−4:

y=x−4

y=1−4

y=−3(Simplify both sides of the equation)

Answer:

y=−3 and x=1

Step-by-step explanation:

Hope this helped you

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Mazyrski [523]

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Step-by-step explanation:

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3 years ago
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Answer:

Because of traffic, she averaged only 15 miles per hour on the way there but ... If the total travel time was 2 hours how long does it take her to drive to ...

Step-by-step explanation:

5 0
3 years ago
What are reasons A,B,and C in the proof?
Vlad [161]

Answer:

Option D is correct.

Explanation:

Commutative Property of Multiplication define that two numbers can be multiplied in any order.

i.e a\times b =b \times a

Distributive property of multiplication states that when a number is multiplied by the sum of two numbers i.e, the first number can be distributed to both of those numbers and multiplied by each of them separately.

a \times (b+c) = a\times b+ a\times c

Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.

Given:

A = ( 4\times 3) + (2 \times 4 )= ( 4\times 3) + (4 \times 2 )

B = 4 \times ( 3+2)

C = 4 \times 5

then;

( 4\times 3) + (2 \times 4 )

Using Commutative property of Multiplication we can write 2 \times 4 = 4 \times 2 then we have;

( 4\times 3) + (2 \times 4 ) = ( 4\times 3) + (4 \times 2 )

Using Distributive property of multiplication;

( 4\times 3) + (4 \times 2 ) = 4 \times ( 3+2)

by using associative property of multiplication ,

4 \times (3+2) = 4 \times 5

Therefore, the reasons  for A , B and C in this proof are;

A.commutative property of multiplication

B. distributive property

C. associative property of multiplication



6 0
4 years ago
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