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3 years ago

An expression that is equivalent to x4-y4

Mathematics

1 answer:

konstantin123 [22]3 years ago

5 0

By factoring, we can get 4(x-y)

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A square has side length (x+5) units. What is it’s area

daser333 [38]

The area of square is $x^{2}+10 x+25$ square units

<h3><u>Solution:</u></h3>

Given that square has side length (x+5) units

To find: area of square

<em><u>The area of square is given as:</u></em>

$\text {Area of square }=\mathrm{a}^{2}$

Where "a" is the length of side

From question, length of each side "a" = x + 5 units

Substituting the value in above formula,

$\text {Area of square }=(x+5)^{2}$

${\text {Expanding }(x+5)^{2} \text { using the algebraic identity: }} \\\\ {(a+b)^{2}=a^{2}+2 a b+b^{2}}\end{array}$

$\begin{array}{l}{\text {Area of square }=x^{2}+2(x)(5)+5^{2}} \\\\ {\text {Area of square }=x^{2}+10 x+25}\end{array}$

Thus the area of square is $x^{2}+10 x+25$ square units

7 0

3 years ago

Mike can stitch 7 shirts in 42 hours. he can stitch 1 shirt in how many hours, and in 1 hour he can stitch how much of a shirt.

podryga [215]

Answer:

Mike can stitch one shirt in 6 hours and in 1 hour he can stitch $\frac{1}{6}$ (0.167) shirts.

Step-by-step explanation:

Mike can stitch 7 shirts in 42 hours

to calculate the time that he takes to make 1 shirt, we have to divide 42 by 7.

He can stitch 1 shirt in = $\frac{42}{7}$ = 6 hours

Now we calculate the work done in one hour.

He can stitch in 1 hour = $\frac{1}{6}$ shirts or 0.167 shirts

Mike can stitch one shirt in 6 hours and in 1 hour he can stitch $\frac{1}{6}$ shirts.

5 0

4 years ago

Paul owes Paula 3535 cents and has a pocket full of 55-cent coins, 1010-cent coins, and 2525-cent coins that he can use to pay h

Ray Of Light [21]

Paul owes paula 35 cents...she has a pocket full of nickels,dimes,and quarters.

largest number of coins would be : 7 nickels (7 coins)
smallest number of coins would be : 1 quarter and 1 dime (2 coins)

the difference is : 7 - 2 = 5 coins <=

4 0

4 years ago

When you view the pendulum’s swing, it shows that at the very top of the swing KE = 0. What does that tell you about the pendulu

slava [35]

Answer:

The kinetic energy of an object is given by: Kinetic energy = 1/2 * mass * velocity If the kinetic energy of the pendulum at the top of its swing is 0, then this tells us that the velocity of the pendulum at that point is 0

4 0

3 years ago

Read 2 more answers

X + y = 17

sashaice [31]

Answer:

x = 8 and y=9 or y = 8 and x = 9

Step-by-step explanation:

8 x 9 = 72

8+9 = 17

9 x 8 = 72

9+8 = 17

6 0

2 years ago