All categories

2 years ago

I need help with eight and nine you are to multiply the binominaals using the horizontal format

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

4 0

Answer:

8. $15m^2-31m+10\\$

9. $x^2y^2z^2+2xyz-3$

Step-by-step explanation:

$(a+b)(c+d)=ac+ad+bc+bd\\(3m-5)(5m-2)=3m*5m+3m(-2)-5*5m(-2)\\=3m*5m+3m(-2)-5*5m(-2)\\=15m^2-31m+10$

^#8^

$(xyz+3)(xyz-1)=xyzxyz+xyz(-1)+3xyz+3(-1)\\=xyzxyz+xyz(-1)+3xyz+3(-1)\\=x^2y^2z^2+2xyz-3$

^#9^

You might be interested in

Pythagorean theorem 19^2 + 21^2=x^2

alexira [117]

Answer:

x = 28.32 units.

Step-by-step explanation:

Given:

Longer leg = 21

Shorter leg = 19

Hypotenuse = x

To Find:

Hypotenuse = x = ?

Solution:

Pythagoras Theorem States that

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

Substituting of the given value above equation we get

$x^{2} =21^{2}+ 19^{2}\\ \\x^{2}=441 + 361\\\\x^{2}=802\\ \therefore x=\pm\sqrt{802} \\\textrm{as x cannot be negative}\\\therefore x=\sqrt{802}\\\\\therefore x=28.319\ units\\\therefore x=28.32\ units$

7 0

3 years ago

Read 2 more answers

I have two questions to solve -3x+10=34 13x-4=11x+10-8

Marina CMI [18]

-3x + 10 = 34

Subtract 10 from both sides:

-3x = 24

Divide both sides by -3:

X = 24 / -3

X = -8

musiclover10045

Middle School Mathematics 39+20 pts

I have two questions to solve

-3x+10=34

13x-4=11x+10-8

Combine like terms on the right side:

13x -4 = 11x + 2

Subtract 11x from both sides:

2x -4 = 2

Add 4 to both sides:

2x = 6

Divide both sides by 2:

X = 6/2

X = 3

5 0

3 years ago

Read 2 more answers

three terms of an arithmetic sequence are shown below. Which recursive formula defines the sequence? f(1) = 6, f(4) = 12, f(7) =

Viefleur [7K]

A = 6
tn = a + (n - 1)d
t4 = 6 + 3d = 12
3d = 12 - 6 = 6
d = 6/3 = 2
f(n + 1) = f(n) + 2

4 0

3 years ago

Read 2 more answers

Stanley has a collection of seashells. He found 35% of his collection on Florida beaches. If Stanley has 49 seashells from Flori

Serjik [45]

Answer:

The number of seashells he have in his collection all together is 140.

Step-by-step explanation:

Given:

Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.

Stanley has 49 seashells from Florida.

Now, to find the number of seashells of his collection altogether.

Let the number of seashells all together be $x.$

Percentage of seashells found on Florida beaches = 35%.

Number of seashells found on Florida beaches = 49.

Now, to get the number of seashells altogether we put an equation:

$35\%\ of\ x=49.$

⇒ $\frac{35}{100} \times x=49$

⇒ $0.35\times x=49$

⇒ $0.35x=49$

Dividing both sides by 0.35 we get:

⇒ $x=140.$

Therefore, the number of seashells he have in his collection all together is 140.

4 0

3 years ago

Consider the following equations and name the property of equality used to solve for the variable.

Viktor [21]

9514 1404 393

Answer:

A. subtraction

B. division

C. multiplication

D. addition

Step-by-step explanation:

Observe what is done to the variable. Choose the operation that turns the unwanted value into the appropriate identity element.

A. 3.75 is added. To make that value be 0, we subtract 3.75.

B. -3 is multiplied. To make that value be 1, we divide by -3.

C. m is divided by 5. To make that 1/5 multiplier be 1, we multiply by 5.

D. 4 is subtracted. To make that value be zero, we add 4.

_____

Additional comment

Since subtraction is the same as addition of the opposite, and division is the same as multiplication by the reciprocal, the only two properties we really need are the addition property and multiplication property. Your grader may disagree.

5 0

3 years ago