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Akimi4 [234]
3 years ago
5

Factor completely 2x3 + 8x2 + 3x + 12.

Mathematics
1 answer:
goblinko [34]3 years ago
8 0

Answer:

(2x^2+3)(x+4).

Step-by-step explanation:

2x^3+8x^2+3x+12

We need to find the factors of given equation;

Solution:

On Solving the above equation we get;

Now First we will take common factor from first 2 terms which is 2x^2 we get;

2x^2(x+4) + 3x+12

Now we will take the common factor from the last 2 terms which is 3 we get;

2x^2(x+4) + 3(x+4)

Here we get 2 terms in which (x+4) is common factor.

(x+4)(2x^2+3)

Hence After factorizing the given equation we get (2x^2+3)(x+4).

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Answer:

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Step-by-step explanation:

Use a calculator.

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Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC
jarptica [38.1K]

We are given

△ABC, m∠A=60° m∠C=45°, AB=8

Firstly, we will find all angles and sides

Calculation of angle B:

we know that sum of all angles is 180

m∠A+ m∠B+m∠C=180

we can plug values

60°+ m∠B+45°=180

m∠B=75°

Calculation of BC:

we can use law of sines

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

now, we can plug values

\frac{8}{sin(45)}=\frac{BC}{sin(60)}

BC=\frac{8}{sin(45)} \times sin(60)

BC=9.798

Calculation of AC:

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

now, we can plug values

\frac{8}{sin(45)}=\frac{AC}{sin(75)}

AC=\frac{8}{sin(45)} \times sin(75)

AC=10.928

Perimeter:

p=AB+BC+AC

we can plug values

p=10.928+8+9.798

p=28.726

Area:

we can use formula

A=\frac{1}{2}AB \times AC \times sin(A)

now, we can plug values

A=\frac{1}{2}8 \times 10.928 \times sin(60)

A=37.85570...............Answer

6 0
3 years ago
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If it takes 4 gallons of gas to drive 92 miles how many miles can be driven using 6 gallons
AVprozaik [17]

Answer:

138

Step-by-step explanation:

as 92÷4 = 23 and 23x6 = 148

4 0
2 years ago
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Find P(7).<br> 1/8<br> 1/4<br> 1/2
nadezda [96]

P(7) = \frac{1}{8}

There are 8 possible outcomes from the spinner and only one 7, hence

P(7) = \frac{1}{8}


4 0
3 years ago
Read 2 more answers
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