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2 years ago

Write a trinomial with 3x as the GCF of its terms.

Mathematics

1 answer:

Sonja [21]2 years ago

3 0

Answer:

3x (x² + x + 1)

You could write any trinomial like this

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Novay_Z [31]

Answer: $3+\sqrt{2}$

Step-by-step explanation:

Given the following expression shown in the picture:

$\frac{7}{3-\sqrt{2} }$

You need to use a process called "Ratinalization".

By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.

Then, in order to simplify the expression, you can follow the following steps:

Step 1. You need to multiply the numerator and the denominator of the fraction by $3+\sqrt{2}$ , which is the conjugate of the denominator $3-\sqrt{2}$ .

Step 2. Then you must apply the Distributive property in the numerator.

Step 3. You must apply the following property in the denominator: $(a+b)(a-b) = a^2 - b^2$

Therefore, applying the procedure shown above, you get:

$=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}$

Step 4. You can observe that the expression can be simplified even more. Since:

$\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}$

You get:

$\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}$

3 0

2 years ago

Find the unit rate, and then use it to solve the problem.

rusak2 [61]

Rate = 10/2 = 5 trees per hour

150trees/5 trees per hour = 30 hours

the answer is D = 30 hours

3 0

2 years ago

Can I get help finding the value of m and n

Marina86 [1]

9514 1404 393

Answer:

m = 35

n = 110

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

n° = 180° -70°

n = 110

Opposite angles in a parallelogram are congruent.

2m° = 70°

m = 35 . . . . . . divide by 2°

4 0

1 year ago

Huda made 8 matching bracelets. She used 128 beads in all. How many beads did she use per bracelet?

Elden [556K]

Answer:

To figure out the answer all you have to do is divide 128 by 8 and you get:

16 beads per bracelet

Hope this helped and plz mark as brainliest!

8 0

2 years ago

1.13 Thank you! (Sorry it’s so blurry)

VikaD [51]

$\sqrt[8]{48^4}$ can be rewritten as $48^4$ to the $\frac{1}{8}$ power:

$(48^4)^ \frac{1}{8}$

Now, applying exponent rules (multiply exponent inside parentheses by the one outside parentheses), we get:

$(48^ \frac{1}{2})$

This is equivalent to $\sqrt{48}$ , so now, we just simplify:

$\sqrt{48}= \sqrt{16*3}= \sqrt{16}* \sqrt{3}=4 \sqrt{3}$

So:

$\sqrt[8]{48^4} =4 \sqrt{3}$

4 0

3 years ago

Write a trinomial with 3x as the GCF of its terms.​

Write a trinomial with 3x as the GCF of its terms.