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geniusboy [140]
3 years ago
15

Expand and simplify4(2a + 4b) + 3(2a + 2b)​

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
7 0

Answer:

14a+22b

Step-by-step explanation:

4(2a+4b) + 3(2a+2b)

Distribute the 4

8a+16b + 3(2a+2b)

Distribute the 3

8a+16b+6a+6b

Combine like terms

14a+22b

Cloud [144]3 years ago
4 0

Answer:

14a + 22b

Step-by-step explanation:

First, we need to expand:

4(2a) + 4(4b) + 3(2a) + 3(2b)

Now, we can continue and solve

8a + 16b + 6a + 6b

We can simplify

8a + 6a + 16b + 6b

14a + 22b

The answer is 14a + 22b because we don't know the values of a or b, so we cannot solve anymore.

Happy learning!

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The sum of the base and height of a triangle is 14 cm. Which of the following equations could be used to find the maximum area o
Montano1993 [528]

Answer:

B

Step-by-step explanation:

Let the base of the triangle be <em>b</em> and the height be <em>h</em>.

The sum of the base and height is 14. Thus:

b+h=14

Recall that the area of a triangle is given by:

\displaystyle A=\frac{1}{2}bh

From the first equation, solve for either variable:

h=14-b

Substitute:

\displaystyle A=\frac{1}{2}b(14-b)

Distribute:

\displaystyle A=\frac{1}{2}(14b-b^2)

Distribute:

\displaystyle A=-0.5b^2+7b

Let <em>b</em> = <em>x</em>. Hence:

A=-0.5x^2+7x

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Step-by-step explanation:

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Answer:

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