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Brut [27]
3 years ago
5

How do i solve 1/3h-4(2/3h-3) = 2/3h-6??

Mathematics
1 answer:
Vlad [161]3 years ago
3 0
1\3h-2.7+12=2\3h-6 -2.7+12+6=2\3h-1\3h 15.3=1\3h multiply both sides by 3 45.9=h
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Which is the completely factored form of 4x2 28x 49? (x 7)(4x 7) 4(x 7)(x 7) (2x 7)(2x 7) 2(x 7)(x 7)
natima [27]

The completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

b = \alpha + \beta \\ ac =\alpha \times \beta

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any  trial and error.

For this case, the given quadratic expression is:

4x^2 + 28x + 49

So we've to find two numbers such that:

Their sum = b =  28

Their product = ac = 4\times 49 = 196

We can see that 196 is square of 14, and that 14 added twice forms 28, thus:

14 + 14 = 28

14×14 = 196

Writing b = 28 as sum of 14 twice, we get:

4x^2 + 28x + 49 = 4x^2 + 14x + 14x +49 \\4x^2 + 28x + 49 =  2x(2x+7) + 7(2x + 7)\\4x^2 + 28x + 49  = (2x+7)(2x+7)

Thus, the completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

Learn more about factorization of quadratic expression here:

brainly.com/question/26675692

8 0
2 years ago
A recipe for 1/2 lb of flour for 1 batch. How many batches can be made with 1 lb?​
WITCHER [35]

Answer:

2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2)
kifflom [539]

Answer:

\displaystyle y=\frac{2}{3}(x+5)+2

Step-by-step explanation:

We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).

The given line can be expressed as:

\displaystyle y=-\frac{3}{2}x+4

We can see the slope of this line is m1=-3/2.

The slopes of two perpendicular lines, say m1 and m2, meet the condition:

m_1.m_2=-1

Solving for m2:

\displaystyle m_2=-\frac{1}{m_1}

\displaystyle m_2=-\frac{1}{-\frac{3}{2}}

\displaystyle m_2=\frac{2}{3}

Now we know the slope of the new line, we use the slope-point form of the line:

y=m(x-h)+k

Where m is the slope and (h,k) is the point. Using the provided point (-5,2):

\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}

6 0
3 years ago
Cuántos años tendre en 2030 si tengo 16 en 2022?​​
stepan [7]

¿Cuántos años tendre en 2030 si tengo 16 en 2022?

Resolvamos:

\:  \: {\sf \rightarrow2030 - 2022 = 82030−2022=8}

\:  \:  \sf \rightarrow16 + 8 = 2416+8=24

Entonces, Tendrás 24 años en 2030.

Espero que te sirva, salu2!!!!

8 0
2 years ago
Express<br> ln3+2lnx <br> as a single logarithm
Naily [24]

Answer:

ln (3x^2)

Step-by-step explanation:

ln3 + 2ln(x)

= ln3 + ln(x^2)

= ln (3x^2)

4 0
2 years ago
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