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Anna71 [15]
4 years ago
15

Help answer for me I have no time and I'm so confused

Mathematics
1 answer:
umka21 [38]4 years ago
8 0
I'll show you how to divide fractions. You have the dividend, divisor, and the quotient.

The dividend is the number being divided.
The divisor is the number doing the dividing.
The quotient is the answer to a division problem.

When fractions are involved, you take the reciprocal of the second number then multiply.

I'll do the first three for you.

\frac{2}{5} ÷ 7

Take the reciprocal of the second number. Which is 7.

The reciprocal of 7 is 1/7.

Then multiply.

\frac{2}{5} * \frac{1}{7} = \frac{2}{35}

6 ÷ \frac{4}{5}

Take the reciprocal of the second number.
The second number is 4/5. So, take the reciprocal of that number.
The reciprocal of 4/5 is 5/4.
Now multiply.

6 * \frac{5}{4} = \frac{30}{4}

Simplify [tex] \frac{30}{4} [/tex]

\frac{30}{4} = 7 \frac{1}{2}

\frac{3}{4} ÷ 3

Take the reciprocal of the second number.
Which is 3. So, take the reciprocal of 3.
The reciprocal of 3 is 1/3.
Then multiply.

\frac{3}{4} * \frac{1}{3} = \frac{3}{12}

Simplify.

\frac{3}{12} = \frac{1}{4}

So, that's how you divide fractions!
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(x+y)^2 (x2+2xy+y2) pleas show all work
lakkis [162]

Answer:

{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x

​4

​​ +4x

​3

​​ y+6x

​2

​​ y

​2

​​ +4xy

​3

​​ +y

​4

​​  

Step-by-step explanation:

1 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)

​2

​​ =a

​2

​​ +2ab+b

​2

​​ .

({x}^{2}+2xy+{y}^{2})({x}^{2}+2xy+{y}^{2})(x

​2

​​ +2xy+y

​2

​​ )(x

​2

​​ +2xy+y

​2

​​ )

2 Expand by distributing sum groups.

{x}^{2}({x}^{2}+2xy+{y}^{2})+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x

​2

​​ (x

​2

​​ +2xy+y

​2

​​ )+2xy(x

​2

​​ +2xy+y

​2

​​ )+y

​2

​​ (x

​2

​​ +2xy+y

​2

​​ )

3 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x

​4

​​ +2x

​3

​​ y+x

​2

​​ y

​2

​​ +2xy(x

​2

​​ +2xy+y

​2

​​ )+y

​2

​​ (x

​2

​​ +2xy+y

​2

​​ )

4 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}({x}^{2}+2xy+{y}^{2})x

​4

​​ +2x

​3

​​ y+x

​2

​​ y

​2

​​ +2x

​3

​​ y+4x

​2

​​ y

​2

​​ +2xy

​3

​​ +y

​2

​​ (x

​2

​​ +2xy+y

​2

​​ )

5 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}{x}^{2}+2{y}^{3}x+{y}^{4}x

​4

​​ +2x

​3

​​ y+x

​2

​​ y

​2

​​ +2x

​3

​​ y+4x

​2

​​ y

​2

​​ +2xy

​3

​​ +y

​2

​​ x

​2

​​ +2y

​3

​​ x+y

​4

​​  

6 Collect like terms.

{x}^{4}+(2{x}^{3}y+2{x}^{3}y)+({x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+{x}^{2}{y}^{2})+(2x{y}^{3}+2x{y}^{3})+{y}^{4}x

​4

​​ +(2x

​3

​​ y+2x

​3

​​ y)+(x

​2

​​ y

​2

​​ +4x

​2

​​ y

​2

​​ +x

​2

​​ y

​2

​​ )+(2xy

​3

​​ +2xy

​3

​​ )+y

​4

​​  

7 Simplify.

{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x

​4

​​ +4x

​3

​​ y+6x

​2

​​ y

​2

​​ +4xy

​3

​​ +y

​4

​​  

7 0
3 years ago
Read 2 more answers
For the straight line defined by the points (2,55) and (4, 87), determine the slope (m) and y-intercept?
mamaluj [8]

Answer:

Slope(m) = 16

Y intercept (c) = 23

Step-by-step explanation:

Given:

Points : (x1, y1) = (2, 55)

           (x2, y2) = (4, 87)

Using two point form to calculate slope:

m = \frac{y2-y1}{x2-x1}

m = \frac{87-55}{4-2}

      m = 16

To find y intercept:

Take any one point ans slope :

Using slope point formula:

y = mx + c

87 = 16(4) + c

Solving for c:

c = 23

8 0
4 years ago
show me how to work this problem, point A(7,9)is dilated from the origin by scale factor r was= 6. what are the coordinates of p
frutty [35]

If the point is dilated from the origin by a scale factor of 6

Then the coordinates of point A becomes

A( 6x7 , 6x9)

A_{0,6}(7,9)=(42,\text{ 54)}

6 0
1 year ago
Answer it and I'll give brainliest and 5 stars​
sergiy2304 [10]

Answer:

1 over x 2

Step-by-step explanation:

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7 0
4 years ago
It takes 10 pounds of potatoes to make 15 servings of mashed potatoes. At this rate:
UkoKoshka [18]

Answer:

1. 15 1/2

Step-by-step explanation:

6 0
3 years ago
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