Factorise

9x² -(3y - 4x)²​

Answer:

12 DVDs

Step-by-step explanation:

180 divided by 15

Answer:

The answer is 12 packs of DVD's

Step-by-step explanation:

When you divide 180 by 15 you get 12

Hope this helps

Answer:

Option C -

Given : AB and BC form a right angle at point B. If A = (-3, -1) and B = (4, 4).

To find : What is the equation of BC ?

Solution :

AB and BC form a right angle at point B.

A=(-3,-1)  and  B=(4,4)

The slope of line AB is

Step-by-step explanation:

Hopfully this helped, if not HMU and I will get you a better answer

-Have a great day! :)

Answer:

x=[tex]\frac{8-5y}{2}[/tex]

y=[tex]\frac{16}{5}-[/tex] [tex]\frac{2x}{5}[/tex]

Step-by-step explanation:

for x

2x+5y=16

2x=-5y+16

then divide everything by 2 to get your answer

for y, you do basically the same thing for what you did for x

Answer:

[tex]area = \pi {r}^{2} [/tex]

675= 3.14× r²

r²= 675/ 3.14

r²=214.968

[tex]r = \sqrt{214.968} [/tex]

radius=14.66 meters

diameter= 2× radius

diameter= 2× 14.66

diameter = 29.32 meters

Given:

The sum of two consecutive odd integers is 2488.

To find:

The smallest of these integers

Solution:

Let the two consecutive odd integers are x and x+2.

Given that, sum of these two consecutive odd integers is 2488. So,

[tex]x+(x+2)=2488[/tex]

[tex]2x+2=2488[/tex]

Subtract 2 from both sides.

[tex]2x=2488-2[/tex]

[tex]2x=2486[/tex]

Divide both sides by 2.

[tex]x=\dfrac{2486}{2}[/tex]

[tex]x=1243[/tex]

So, the first odd integer is 1243 and second odd integer is 1243+2=1245.

Therefore, the smallest of these integers is 1243.

Answer:

Step-by-step explanation:

[tex]f(x)=-x^2+5\\\\f(-3)=-(-3)^2+5=-9+5=-4[/tex]

Answer:

297 & 369

Step-by-step explanation:

Answer:

297 and 323

Step-by-step explanation:

please mark as brainlist answer

Answer:

-6-(-1)

Step-by-step explanation:

Answer:

20.4 × 2.4 inches?

Step-by-step explanation:

I'm assuming that both posters have the same thickness and so just multiply the thickness of one by 2.

Answer:

a:b = 3:5.

Step-by-step explanation:

a + 0.25a = b - 0.25b

1.25a = 0.75b       Divide both sides by b:

1.25a / b = 0.75  Now divide both sides by 1.25

a/b = 0.75/1.25

a/b= 3/5.

a = 10, c = 15, b = 5√5

a = 8, c = 18, b = 2√65

a = 12, c = 14, b = 2√13

a = 4, c = 20, b = 8√6

a = 12, b = 14, c = 2√85

a = 4, b = 20, c = 4√26

a = 10, b = 15, c = 5√13

a = 8, b = 18, c = 2√97

Answer:

Step-by-step explanation:

The square area is

A = x²

A side of square is

X

Then, we have:

x² = 57

x = [tex]\sqrt[2]{57}[/tex]

x = 7,54 aproximately - just the positive root is aceppted.

I don't know the values of that table, because you didn't gave. But if they are all natural numbers, it would be betwen 7 and 8.

Answer:

[tex]\frac{31}{20}[/tex]

Step-by-step explanation:

hey there,

< [tex]w +\frac{1}{2} = \frac{1}{20} + 2[/tex]

Move the variable "w" to one side and all regular numbers to the other.

[tex]w = \frac{1}{20} + 2 - \frac{1}{2}[/tex]

Continue simplifying. Put everything under the least common denominator (LCM) which would be "20" here.

[tex]w = \frac{1+40-10}{20} = \frac{31}{20}[/tex]

w = [tex]\frac{31}{20}[/tex] is your final answer. >

Hope this helped! Feel free to ask anything else.

Answer:

11

Step-by-step explanation:

(x - y)² = x² - 2xy + y² = x² + y² - 2xy = 15 - 2(2) = 15 - 4 = 11

Answer:

11

Step-by-step explanation:

(x-y)²=x²+y²-2(xy)

Given : x²+y²=15

           xy=2

By substituting we get ,

(x-y)²=15-2(2)

(x-y)²=15-4

(x-y)²=11

Answer: $1040

A = P + I

A = Total

P = Principal

I = Interest

First find the total amount

A = 640(4)(9)

A = 23040

Plug In the Numbers

23040 = 22000 + I

Substract 22000 on both sides

I = $1040

Jerry paid the total interest of $1,040.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Jerry’s loan had a principal of $22,000. He made quarterly payments of $640 for nine years until the loan was paid in full.

Since, he paid in every 3 months for 9 years = 640

and since there are total quarter in 9 years = 9 * 4

there are total quarter in 9 years = 36

Thus, Total money jerry's paid = 640 * 36

Total money jerry's paid = 23040$
Since, Jerry’s loan had a principal of $22,000.

Thus, interest = Paid amount - principal amount

In our case,

Interest = 23040 - 22000

Interest = 1,040$

therefore, Jerry paid the total interest of $1,040.

Learn more about Mathematical operations here:

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The value of the expression at x = 5 will be 6.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 2x - 4. The solution for the expression is,

E = 2x - 4

E = ( 2x 5  - 4 )

E = 10 - 4

E = 6

Hence, the solution for the expression is 6.

To know more about an expression follow

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Answer:

n = 25

Step-by-step explanation:

-2n + 15 = n - 60

Subtract 15 to both sides

-2n = n - 75

Subtract n to both sides

-3n = -75

Divide -3 to both sides

n = 25

Best of Luck!

Answer:

n=25

Step-by-step explanation:

-2n+15=n-60

-3n+15=-60

-3n=-75

n=25

Answer:

coordinate of B(2,-8)

Answer:

(4,-8)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Hello! :)

4 (2x + 1) = 6x + 10 Simplify both sides of the equation

(4) (2x) + (4) (1) = 6x + 10 Distribute

8x + 4 = 6x + 10

8x + 4 − 6x = 6x + 10 − 6x  subtract 6x from both sides

2x + 4 = 10

2x + 4 - 4 = 10 - 4 Subtract 4 from both sides

2x = 6

2x/2 = 6/2 Divide both sides by 2

6/2 = 3 Simplify

x = 3 (ANSWER)

Hope this helped you!

THEDIPER

18.5*3.82 would be 70.67

Answer:

would be 70.67

Step-by-step explanation:

Given:

The equation is

[tex]\dfrac{1}{4}x-3=\dfrac{3}{8}x+4[/tex]

To find:

The Louisa's mistake.

Solution:

We have,

[tex]\dfrac{1}{4}x-3=\dfrac{3}{8}x+4[/tex]

[tex]\dfrac{x-12}{4}=\dfrac{3x+32}{8}[/tex]

Multiply both sides by 8.

[tex]2(x-12)=3x+32[/tex]

[tex]2x-24=3x+32[/tex]

[tex]-24-32=3x-2x[/tex]

[tex]-56=x[/tex]

[tex]x=-56[/tex]

Louisa made an error when determining the original solution of x = 56.

Therefore, the correct option is A.

Answer:

Louisa made an error when determining the original solution of x = 56.

Step-by-step explanation:

The screenshot if proof

Answer:

x^2+ 7x+12

Step-by-step explanation:

use FOIL property

(x * x) (x * 3) (4 * x) (4 * 3)

x^2 + 3x + 4x + 12

= x^2 + 7x + 12

Answer:

416

Step-by-step explanation:

Answer:

-9 and -8

Step-by-step explanation:

Adding -9 to 9 would equal 0, and -9 + -8 is -17. Also if you want to check, just complete the equation just plug in those two integers :)

The equation can be written according to the problem will be –17 + 9 = –8. And the two missing integers are -8 and -9.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Aman is adding -17 + 9.

He wants to write –17 as the sum of two numbers.

So that one of the numbers, when added to 9, will equal 0.

Let the other number be x. Then

-17 + 9 + x = 0

      -8 + x = 0

             x = 8

Then the equation can be written according to the problem will be

–17 + 9 + 8 = 0

      –17 + 9 = –8

Or   –17 + 8 = –9

More about the Algebra link is given below.

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Answer:

C

Step-by-step explanation:

So, we want to find the equation of the line graphed.

To do so, let's first find the slope. Let's pick two points from the graph. I'm going to use (-2,2) and (0,-1).

The formula for slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's let (-2, 2) be (x₁, y₁) and let's let (0,-1) be (x₂, y₂). So, substitute:

[tex]m=\frac{-1-2}{0-(-2)}[/tex]

Subtract:

[tex]m=\frac{-3}{2}[/tex]

So, our slope is -3/2.

Now, we can use the point-slope form, which is:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is any point on the graph.

Since our answer choices are using the values 2 and 4, this means we can use the point (2,-4).

So, (2,-4) is our (x₁, y₁).

Also, our m is -3/2. So, substitute these into the point-slope form:

[tex]y-(-4)=-\frac{3}{2}(x-2)[/tex]

Simplify:

[tex]y+4=-\frac{3}{2}(x-2)[/tex]

Therefore, our answer is C.

And we're done!

Answer: If the monomial has only one variable.

3x² is a monomial of the 2nd degree with a leading coefficient of 3.

Step-by-step explanation: Think of the your like terms such as the coefficents  A polynomial which has only one term is called monomial.

The degree of a monomial is defined as the sum of all the exponents of the variables.

A leading coefficient is the number multiply to the variable.

24

8

31

17

absolute value with positive numbers are always positive if I remember correctly.

oooo and the opposite

24

-8

-31

and 17

Step-by-step explanation:

(-)(-) = +

[tex] - \frac{3}{5} + \frac{5}{9} [/tex]

[tex] - \frac{27}{45} + \frac{25}{45} [/tex]

[tex] - \frac{2}{45} [/tex]