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vlabodo [156]
4 years ago
6

Can someone help me out? Factor 2x2b2 + 5xb2 + 2b2. Show your work.

Mathematics
1 answer:
Vsevolod [243]4 years ago
3 0
Answer:
b²(2x+1)(x+2)

Explanation:
The given equation is:
2b²x² + 5xb² + 2b²
We can start by taking b² as a common factor, this will give us:
b² (2x² + 5x + 2)

Now, we have a trinomial quadratic equation that we need to factorize.
The general form of the quadratic equation is:
ax² + bx + c
The one we have is:
2x² + 5x + 2
By comparison:
a = 2
b = 5
c = 2

To get the factors, we will need to use the quadratic equation attached in the images.
By substitution, we would find that:
either x = -1/2.......> This means that the factor is (2x+1)
or x = -2........> This means that the factor is (x+2)

Now, back to our expression, we will replace the quadratic trinomial with its factored form to get the simplified expression:
b²(2x+1)(x+2)

Hope this helps :)

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An isosceles triangle has angle measures 50°, 50°, and 80°. The side across from the 80° angle is 10 inches long. How long are t
djverab [1.8K]

Answer: The value of other side is 7.8 inch.

Explanation:

It is given that the isosceles triangle has angle measures 50°, 50°, and 80°. The side across from the 80° angle is 10 inches long.

Let the given length of other equal sides be x.

The side across from the 50° angle is x inches long.

Law of sine,

\frac{a}{\sin A}= \frac{b}{\sin B} =\frac{c}{\sin C}

\frac{x}{\sin (50)}= \frac{10}{\sin (80)}

\frac{x}{0.766} =\frac{10}{0.9848}

x =\frac{10}{0.9848}\times (0.766)

x =7.778229 \approx 7.8

Therefore, the value of other side is 7.8 inch.

3 0
4 years ago
Read 2 more answers
C=(3x-5)^2-36x^2<br> tìm x
MariettaO [177]

Answer:

C = -27x^2 - 30x + 25

Step-by-step explanation:

C = (3x - 5)^2 - 36x^2

~Use FOIL

C = 9x^2 -30x + 25 - 26x^2

~Simplify

C = -27x^2 - 30x + 25

Best of Luck!

8 0
3 years ago
On average, a commercial airplane burns about 3.9 × 10³ milliliters of gasoline per second. There can be as many as 5.1 × 10³ ai
Pavel [41]
1 plane burns 60x3.9x10^3
= 234x10^3 mls per minute
Required amount =
234x10^3 x 5.1x10^3
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3 years ago
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Theoretically, if a month is chosen 300 times,
horsena [70]

Answer:

75 times.

Step-by-step explanation:

Well there are 12 months and 3 of them start with the letter J, so theoretically, 25% of the months chosen will start with the letter J because \frac{3}{12}=\frac{1}{4}, which is 25%. 25% of 300 (or \frac{300}{4}, for those who like fractions) is 75, so theoretically, we can expect a month that starts with the letter J 75 times.

Hope this helps!

<em>P.S: </em><u><em>Please mark me as brainliest!</em></u>

6 0
3 years ago
In the past, joe got paid $229,390 annually. Since switching to a new career he has been making 10% less. How much does Joe make
Serhud [2]

Answer:

The answer is $206,451

Step-by-step explanation

This scenario is asking to subtract 19 percent away from 229,390 .

Step one :  Divide 229,390 by 10 ( take away the zero behind the 9 )

Step 2 : Subtract 22,939 from 229,390 since we know ten percent of 229,390 is 22,939 = 206451

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