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Delicious77 [7]
3 years ago
15

ich expressions are equivalent? Select Equivalent or Not equivalent for each pair of expressions. Equivalent Not equivalent 3(a+

b) and 3a+b 4(x+2y) and 8y+4x
Mathematics
2 answers:
kodGreya [7K]3 years ago
8 0

3(a + b) and 3a + b - NOT EQUIVALENT because

3(a + b) = 3a + 3b

<em>used distributive property a(b + c) = ab + ac</em>

4(x + 2y) and 8y + 4x - EQUIVALENT because

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

<em>used distributive property a(b + c) = ab + ac</em>

<em>and commutative property a + b = b + a</em>

Elden [556K]3 years ago
7 0

Answer:

3(a+b) is not equal to 3a+b

4(x+2y)  is equal to 4x+8y

Step-by-step explanation:

3(a+b)  

Distribute

3a+3b

This is not equal to 3a +b


4(x+2y)

Distribute

4x+8y

This is equal to 4x+8y

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we have the lines

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Compare their slopes

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Step-by-step explanation:


7 0
3 years ago
Alex the electrician needs 34 yards of electrical wire to complete his job. He has a coil of wiring in his workshop. The coiled
bogdanovich [222]

Answer: This coil will not be enough to complete the job.

Step-by-step explanation:

The circumference of the coil of wiring can be calculated with:

C=2\pi r

Where r is the radius and \pi=3.14

The radius can be calculated by dividing the diameter by 2. Then:

r=\frac{18in}{2}\\\\r=9in

Convert 9 inches to yards (1 yard=36 inches):

(9in)(\frac{1yd}{36in})=0.25yd

Substitute this radius into the formula:

C=2(3.14)(0.25yd)\\C=1.57yd

Since there are 21 circles of wire, you need to multiply C=1.57yd by 21:

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The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough  to complete the job.

8 0
3 years ago
Help me plz I need help.
Sever21 [200]

Answer:

C

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

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