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2 years ago

What is the factored form of b3 − 1,000?

Mathematics

2 answers:

DochEvi [55]2 years ago

7 0

Kindly, check the attachment below to see the answer.

Mrac [35]2 years ago

7 0

Answer:

$(b - 10) (b^2+ 10b +100)$

Step-by-step explanation:

b3 − 1,000

b3 − $10^{3}$

(a b) (a^2 ab b^2)

a=b

b=10

(b 10) (b^2 10b 100)

the same , opposite, always a plus "SOAP"

$(b - 10) (b^2+ 10b +100)$

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3 years ago

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3 years ago

Solve for x Find ADB Find BDC

NeTakaya

Answer:

x=12 ADB= 56 BDC= 54

Step-by-step explanation:

ADB and BDC are complementary, so they add up to 90 degrees. In other words ADB+BDC= 90 So I can input my knowns into the equation

(3x+10) + (4x-4) = 90

I combined like terms to give me 7x+6=90

Then I subtract 6 from both sides giving me 7x=84

Last I divide 7 on both sides. x=12

Then I input the x (12) into the equation and solve it from there

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5 0

3 years ago

What does -12x-2 equal?

blsea [12.9K]

Answer:

Step-by-step explanation:-12x=2

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8 0

3 years ago

Solve on the interval [0/2pi] 1-cos(theta) = (1/2)

Airida [17]

Answer:

Final answer is $x=\frac{\pi}{3}$ and $x=\frac{5\pi}{3}$ .

Step-by-step explanation:

Given equation is $1-\cos\left(\theta\right)=\frac{1}{2}$

Now we need to find the solution of $1-\cos\left(\theta\right)=\frac{1}{2}$ in given interval $[0, 2\pi ]$ .

$1-\cos\left(\theta\right)=\frac{1}{2}$

$-\cos\left(\theta\right)=\frac{1}{2}-1$

$-\cos\left(\theta\right)=-\frac{1}{2}$

$\cos\left(\theta\right)=\frac{1}{2}$

which gives $x=\frac{\pi}{3}$ and $x=\frac{5\pi}{3}$ in the given interval.

Hence final answer is $x=\frac{\pi}{3}$ and $x=\frac{5\pi}{3}$ .

6 0

2 years ago