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3 years ago

Combine like terms to simplify the expression below 5y-8x-y+12x

1 answer:

6 0

There are like terms 5y and y. Since there is a subtraction sign in front of y, we would subtract that from 5y, which becomes 4y. 8x and 12x are also like terms (x). Since 12x has an addition sign in front, indicating it's positive, we would add it to -8x (which is negative b/c of the subtraction sign in front). 12x + -8x = 4x. The expression is 4y + 4x.

Hope this helps!

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Find dy of the fol<br>of the following<br>fuction

ikadub [295]

write question properly bro

8 0

2 years ago

How do you solve these equations? I don't want you to answer all of them, just tell me how to solve each type of equation on the

miss Akunina [59]

Answer:

8. Identify the common denominator; express each fraction using that denominator; combine the numerators of those rewritten fractions and express the result over the common denominator. Factor out any common factors from numerator and denominator in your result. (It's exactly the same set of instructions that apply for completely numerical fractions.)

9. As with numerical fractions, multiply the numerator by the inverse of the denominator; cancel common factors from numerator and denominator.

10. The method often recommended is to multiply the equation by a common denominator to eliminate the fractions. Then solve in the usual way. Check all answers. If one of the answers makes your multiplier (common denominator) be zero, it is extraneous. (10a cannot have extraneous solutions; 10b might)

Step-by-step explanation:

For a couple of these, it is helpful to remember that (a-b) = -(b-a).

$\dfrac{5}{x+2}+\dfrac{25-x}{x^2-3x-10}=\dfrac{5(x-5)}{(x+2)(x-5)}+\dfrac{25-x}{(x+2)(x-5)}\\\\=\dfrac{5x-25+25-x}{(x+2)(x-5)}=\dfrac{4x}{x^2-3x-10}$

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$\displaystyle\frac{\left(\frac{x}{x-2}\right)}{\left(\frac{2x}{2-x}\right)}=\frac{x}{x-2}\cdot\frac{-(x-2)}{2x}=\frac{-x(x-2)}{2x(x-2)}=-\frac{1}{2}$

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$\dfrac{3}{x-1}+\dfrac{6}{x^2-3x+2}=2\\\\\dfrac{3(x-2)}{(x-1)(x-2)}+\dfrac{6}{(x-1)(x-2)}=\dfrac{2(x-1)(x-2)}{(x-1)(x-2)}\\\\3x-6+6=2(x^2-3x+2) \qquad\text{multiply by the denominator}\\\\2x^2-9x+4=0 \qquad\text{subtract 3x}\\\\(2x-1)(x-4)=0 \qquad\text{factor; x=1/2, x=4}$

Neither solution makes any denominator be zero, so both are good solutions.

8 0

3 years ago

Finally the value of the expression 20m²+30m+40 where m=4

PolarNik [594]

Answer:

6,560

Step-by-step explanation:

yes

7 0

2 years ago

a cylinder has a radius of 15 ft and a height of 25 ft. what is the exact surface area of the cylinder

kap26 [50]

Answer:

1200 ft²

Step-by-step explanation:

We assume that we want the total surface area, which includes the curving sides and the flat ends.

1. Curving sides: We are actually finding the area of a flat piece of material whose length is C = 2πr and whose width is the height of the cylinder, h. Then this side area is A = 2πrh. Here, that area is

A = 2π(15 ft)(25 ft) = 750π ft²

2. Ends: The end area is A = πr², and there are two ends.

The total area of the ends is A = 2πr², which here is A = 2π(15 ft)², or

A = 450π ft².

Thus, the total exact surface area of this cylinder is

A = 450π ft² + 750π ft² = 1200 ft²

8 0

3 years ago

Anna has 1 more than half the number of pets her friend does. Anna has 3 pets.

tia_tia [17]

Answer:

Anna's friend has 4 pets.

Step-by-step explanation:

Anna has 3 pets.

3-1=2

2x2=4

6 0

3 years ago

Read 2 more answers