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german
3 years ago
6

What is 9bc - 6b written in factored form?​

Mathematics
1 answer:
sattari [20]3 years ago
3 0

Answer:

<h2>9bc - 6b = 3b(3c - 2)</h2>

Step-by-step explanation:

9bc=(3b)(3c)\\\\6b=(3b)(2)\\\\\text{Distributive property:}\ a(b+c)=ab+ac\\\\9bc-6b=(3b)(3c)-(3b)(2)=(3b)(3c-2)

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Answer questions 15 and 17 show work pls
fredd [130]

Answer:

#15) B. 30 mn^5

#17) B. 1/2

Step-by-step explanation:

<h2>#15:</h2>

The area of a trapezoid is given in the formula: 1/2(a + b) * h, where a is the length of the top of the trapezoid, b is the length of the bottom of the trapezoid, and h is the height of the trapezoid.

All of these measurements are given so all that you need to do is to substitute these values into the formula.

Substitute 3 for a, 9 for b, and 5 for h.

  • 1/2(3 + 9) * 5

Solve inside the parentheses first. Add 3 and 9.

  • 1/2(12) * 5

Multiply 12 and 1/2 together.

  • 6 * 5

Multiply 6 and 5.

  • 30

We need to figure out if the area is to the 5th or 6th power. When we added 3 and 9 together, we combined like terms so the exponent stayed to the 3rd power.

After multiplying this ^3 by the 5mn^2, the exponent becomes to the 5th power because you add exponents when multiplying.

Therefore the final answer is B. 30 mn^5.

<h2>#17:</h2>

When going down from 32 to 8 to 2, you can see that each number is being divided by 4.

32 / 4 = 8...

8 / 4 = 2...

So to find the next number in this sequence you would divide 2 by 4.

  • 2 / 4 = 1/2

The answer is B. 1/2.

6 0
3 years ago
Which expression is equivalent to ^4sqrt6/^3sqrt2?
BigorU [14]

\dfrac{\sqrt[4]6}{\sqrt[3]2}=6^\frac{1}{4}:2^\frac{1}{3}=6^\frac{1\cdot3}{4\cdot3}:2^{\frac{1\cdot4}{3\cdot4}}=6^\frac{3}{12}:2^\frac{4}{12}=(6^3)^\frac{1}{12}:(2^4)^\frac{1}{12}\\\\=216^\frac{1}{12}:16^\frac{1}{12}=(216:16)^\frac{1}{12}=\sqrt[12]{\dfrac{216}{16}}=\sqrt[12]{\dfrac{27}{2}}\\\\\text{Answer:}\ 1)\ \sqrt[12]{\dfrac{27}{2}}

4 0
3 years ago
Read 2 more answers
What is value of x?<br> Enter your answer in the box.
marin [14]

Answer:

x \ = \ 10

Step-by-step explanation:

Let point D be the point where the straight line drawn from point A meets the straight line BC, it is evident that \triangle ABD and \triangle ACD is similar given that both triangles share the same angle, \angle BAD \ = \ \angle DAC. Hence, the ratio of the sides of each triangle is the same. Specifically,

                                              \displaystyle{\frac{x+4}{8} \ = \ \frac{2x+1}{12}}.

Performing cross multiplication yields

                                           12\left(x+4\right) \ = \ 8\left(2x+1\right) \\ \\ \rule{0.15cm}{0cm}12x+48 \ = \ 16x+8 \\ \\ \rule{1.1cm}{0cm} 4x \ = \ 40 \\ \\ \rule{1.3cm}{0cm} x \ = \ 10.

8 0
2 years ago
Beth filled 32 jars with paint. If each jar holds 1 pint of paint how many gallons of paint did Beth use
Sloan [31]
If there are 8 pints in a gallon there are 4 gallons 32(pints) divided by 8 is 4
3 0
3 years ago
Example
katen-ka-za [31]

Answer:

The playground is 160ft by 360ft.

The model is 4in by 9in

First, 1ft = 12 inches.

Then the measures of the playground, in inches, is:

160*12in = 1920 in

360*12in =  4320in

The playground is 1920in by 4320in.

Then, the ratios between the measures of the playground and the model are:

1920in/4in = 480

4320in/9in = 480

This means that each inch in the model, represents 480 inches in the actual playground.

5 0
3 years ago
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