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andrey2020 [161]
3 years ago
6

If 4 is subtracted from twice a number, the result is 10 less than the number. Find the number. *

Mathematics
2 answers:
motikmotik3 years ago
8 0

Answer:

the answer is -6

Step-by-step explanation:

drek231 [11]3 years ago
8 0

Answer:

x =-6

Step-by-step explanation:

Let the unknown number be x

2(x)-4=x-10\\\\2x -4=x-10\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\2x-4+4=x-10+4\\\\Simplify\\2x=x-6\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\2x-x=x-6-x\\\\Simplify\\x=-6

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I need help , I don’t understand this
marta [7]
#2. First, we factor each polynomial. Then, if any terms on both the top and the bottom of the fraction match, they cancel out. So... we do just that. You end up with:

\frac{x(x-4)}{(x+9)(x-4)}

Notice there's an (x-4) on both top and bottom. So they cancel out. That leaves us with your answer of \frac{x}{(x+9)}

#3. We do the same thing as above then multiply and simplify. In the interest of space, I'll cut straight to some simplification. 

\frac{2(x+2)^{3} }{6x(x+2)} ( \frac{5}{(x-2)^{2} } )

Now we start cancelling. For the first fraction, there are 3 (x+2)'s on top and 1 on the bottom so we will cancel out the one on the bottom and leave 2 (x+2)'s on top. There are no more polynomials to cancel out so now we multiply across:

\frac{10(x+2)^{2} }{6x(x-2)^{2} }

10 and 6 share a GCF of 2 so we divide both of those by 2. This leaves us with the final answer of:

\frac{5(x+2)^{2} }{3x(x-2)^{2} }

#4. This equation introduces division and because of it, we must flip the second fraction to make the division sign into a multiplication symbol. Again for space, I'll flip the fraction and simplify in one step. 

\frac{3(x+2)(x-2)}{(x+4)(x-2)} ( \frac{x+4}{6(x+3)})

Now we do our cancelling. First fraction has (x - 2) in the top and bottom. They're gone. The first fraction has a (x + 4) on the bottom and the second fraction has one on the top. Those will also cancel. This leaves you with:

\frac{3(x+2)}{6(x+3)}

3 and 6 share a GCF of 3 so we divide both numbers by this. This leaves you with your final answer:

\frac{x+2}{2(x+3)}

#5. We are adding so we first factor both fractions and see what we need to multiply by to make the denominators the same. I'll do the former first. (10 - x) and (x - 10) are not the same so we multiply the first equation (top and bottom) by (x - 10) and the second equation by (10 - x). Because they will now have the same denominator we can combine them already. This gives us:

\frac{(3+2x)(x-10)+(13+x)(10-x)}{(10-x)(x-10)}

Now we FOIL each to expand and then simplify by combining like terms. Again for space, I'm just showing the result of this; you end up with:

\frac{x^{2}-20x+100}{(10-x)(x-10)}

Now we factor the top. This gives you 2 (x - 10)'s on top and one on bottom. So we just leave one on the top and cancel the bottom one out. This leaves you with your answer:

\frac{x+10}{10-x}

#6. Same process for this one so I won't repeat. I'll just show the work.

\frac{3}{(x-3)(x+2)} +  \frac{2}{(x-3)(x-2)} becomes

\frac{3(x-2) + 2(x+2)}{(x-3)(x+2)(x-2)} which equals

\frac{3x - 6 + 2x + 4}{(x-3)(x+2)(x-2)} giving you the final answer

\frac{5x - 2}{(x-3)(x+2)(x-2)}

#7. For this question we find the least common denominator to make the denominators match. For 5, x, and 2x, the LCD is 10x. So we multiply top and bottom of each fraction by what would make the bottom equal 10x. This rewrites the fraction as:

\frac{3x}{5} ( \frac{2x}{2x}) * ( \frac{5}{x}( \frac{10}{10}) -  \frac{5}{2x} ( \frac{5}{5}))

Simplify to get:

\frac{3x}{5}  * ( \frac{25}{10x})

After simplifying again, you end up with your final answer: 

\frac{3}{2}




8 0
3 years ago
What is equivalent to 3 to the negative 2nd power
VladimirAG [237]
3 to the negative second power is written like this: 3^{-2}. 

When simplifying an expression with a negative exponent, you take a positive version of the exponent, in this case that would be 2, and apply that to the base. 
After doing that, we have 9. 
The next step is to put one over that number.
In this case, now after doing that the answer is \frac{1}{9}. 

Hope this helps!
6 0
3 years ago
The circumference of a circle can be found using the formula C = 2r. Which is an equivalent equation solved for r? r = C r = C(2
vaieri [72.5K]

Answer:

r equals StartFraction C Over 2 pi EndFraction

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=2\pi r

where

r is the radius of the circle

Solve for r

That means -----> isolate the variable r

Divide by 2π both sides

\frac{C}{2\pi}=\frac{2\pi r}{2\pi}

Simplify right side

\frac{C}{2\pi}=r

Rewrite

r=\frac{C}{2\pi}

so

r equals StartFraction C Over 2 pi EndFraction

5 0
3 years ago
Read 2 more answers
What is the domain of the sine and cosine functions?
tatiyna

Remember that the domain is all possible x values of a function. In the case of sine and cosine functions, they go up and down (like waves), but go on forever. Therefore, the domain is all real numbers.

Correct Answer: B, All Real Numbers

Hope this helps!

6 0
3 years ago
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What type of number is 10.9+3i?
hram777 [196]

Answer:

I think its a rational number

Step-by-step explanation:

3 0
3 years ago
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