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3 years ago

Three times the sum of a number and eight is four more than twice the sum of the number and six. Write and solve the equation.

Mathematics

2 answers:

Marina CMI [18]3 years ago

4 0

3(x+8)=4+2(x+6)

3x+24=4+2x+12 (distribute or get rid of the parenthesis by multiplying)

3x-2x=4=12-24 (subtract 2x from both sides, then subtract 24 from both sides)

x=-8 (simplify)

Scrat [10]3 years ago

4 0

There ya go! We went over this in Algebra a while back

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3 years ago

Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

$C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s$

Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

4 0

3 years ago

What is the simplest form of this expression?<br> -(х – 2)(3х2 + 4х-5)

skad [1K]

Answer:

Step-by-step explanation:

3x^2 * -x =-3x^3

3x^2 * 2. =6x^2

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4x * 2 = 8x

-5 * -x = 5x

-5 * 2 = -10

6x^2 + -4x^2 = 2x^2

8x+5x = 13 x

Ans: -3x^3 + 2x^2 + 13x -10

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3 years ago

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Step-by-step explanation:

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3 years ago

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tekilochka [14]

Step-by-step explanation:

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2 years ago