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3 years ago

Use the distributive property to solve the following equation: 2 + 4(2z + 3) = 15

Mathematics

2 answers:

enyata [817]3 years ago

6 0

Answer:

8z+12

Step-by-step explanation:

pickupchik [31]3 years ago

6 0

<h2><u><em>Answer:</em></u></h2><h2><u><em>z=18</em></u></h2><h2><u><em>Step-by-step explanation:</em></u></h2><h2><u><em>2+4(2z+3)=15</em></u></h2><h2><u><em>Step 1: Simplify both sides of the equation.</em></u></h2><h2><u><em>2+4(2z+3)=15</em></u></h2><h2><u><em>2+(4)(2z)+(4)(3)=15(Distribute)</em></u></h2><h2><u><em>2+8z+12=15</em></u></h2><h2><u><em>(8z)+(2+12)=15(Combine Like Terms)</em></u></h2><h2><u><em>8z+14=15</em></u></h2><h2><u><em>8z+14=15</em></u></h2><h2><u><em>Step 2: Subtract 14 from both sides.</em></u></h2><h2><u><em>8z+14−14=15−14</em></u></h2><h2><u><em>8z=1</em></u></h2><h2><u><em>Step 3: Divide both sides by 8.</em></u></h2><h2><u><em>8z8=18z=18</em></u></h2>

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3 years ago

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Step-by-step explanation:

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3 years ago

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Firlakuza [10]

Answer:

Step-by-step explanation:

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2 years ago

In Triangle ABC shown below, side AB is 6 and side AC is 4.

Amanda [17]

Answer: A is the correct option.Segment AD is 3 and segment AE is 2.

Step-by-step explanation:

Given : A triangle ABC where AC=4 and AB=6

then to prove segment DE is parallel to segment BC and half its length.

the length of AD and AE must divide AC and AB respectively to get the same ratio of 2:1

To apply converse of basic proportionality theorem.

If we take first option Segment AD is 3 and segment AE is 2 then

$\frac{AB}{AD}=\frac{6}{3}=\frac{2}{1},\frac{AC}{AE}=\frac{4}{2}=\frac{2}{1}\\\Rightarrow\frac{AB}{AD}=\frac{AC}{AE}$

Therefore by converse of basic proportionality theorem

DE is parallel to segment BC and half its length.

Therefore A is correct option.

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3 years ago

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