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3 years ago

Factorise 8x+12 has

Mathematics

2 answers:

Galina-37 [17]3 years ago

8 0

Answer:

4(3 + 2x)

Step-by-step explanation:

Simplifying

8x + 12

Reorder the terms:

12 + 8x

Factor out the Greatest Common Factor (GCF), '4'.

4(3 + 2x)

Final result:

4(3 + 2x)

shtirl [24]3 years ago

7 0

Answer:

Step-by-step explanation:

hello :

8x+12 = 4(x+3)

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Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,

torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

$y=6x^2+14x$

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

$\frac{dy}{dx}=12x+14$

We know that length of curve

$s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx$

We have a=-2 and b=1

Using the formula

Length of curve= $s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx$

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

$dt=12dx$

$dx=\frac{1}{12}dt$

Length of curve= $s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt$

We know that

$\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C$

By using the formula

Length of curve= $s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})$

Length of curve= $s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})$

Length of curve= $s=32.66$

5 0

3 years ago

Hii please help i’ll give brainliest

GarryVolchara [31]

Answer:

-12

Step-by-step explanation:

the opposite of 12 is -12

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3 years ago

The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers

zhenek [66]

1 cm = 20 km

so 3.5 cm would equal : 3.5 * 20 = 70 km <==

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3 years ago

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Answer this A(n)=12(n-1)5

just olya [345]

Distribute:

(12n-12)5

60n-60 = A(n)

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Ms. Hernández is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $7 for each chil

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(40-10)/7

The maximum amount of money she wants to spend is $40
Her adult ticket costs $10
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2 years ago

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