the basics of geometry

[tex]\boxed{\sf (a-b)^3=a^3-3a^2b+3ab^2-b^3}[/tex]

[tex]\\ \sf\longmapsto 64a^3-(b-c)^3[/tex]

[tex]\\ \sf\longmapsto 64a^3-(b^3-3b^2c+3bc^2-c^3)[/tex]

[tex]\\ \sf\longmapsto 64a^3-b^3+3b^2c-3bc^2+c^3[/tex]

[tex]\\ \sf\longmapsto 64a^3-b^3+c^3+3b^2c-3bc^2[/tex]

Answer:

Step-by-step explanation:

[tex]Remember:\\\\\boxed{x^3-y^3=(x-y)(x^2+xy+y^2)}\\\\64a^3-(b-c)^3\\\\=(4a)^3-(b-c)^3\\\\=(4a-(b-c))(16a^2+4a(b-c)+(b-c)^2)\\\\=(4a-b+c)(16a^2+4ab-4ac+b^2-2bc+c^2)\\[/tex]

Answer: 8

Step-by-step explanation:

QS = RS + QR

3x = 2x + 3x-8

3x = 5x - 8

8 = 2x

8/2 = x

4 = x

RS = 2x = 2(4) = 8

Answer:

17,500 Apples in 2 weeks

Step-by-step explanation:

250 apples*5 hours*14 days= 17,500 Apples in 2 weeks

Answer:

about 48 adults , because you have to divide the 477 by 10

Step-by-step explanation:

I got this question on my test and i chose this and i got it right.

I hope this helps!! :)

Answer:

.1

Step-by-step explanation:

anything that's the furthest(farthest) from the tenths is a small number

Answer:

The answer is

B. 6, 8, 11, 1, 7, 14, 10

C. 14, 10, 6, 9, 11, 8, 1

Step-by-step explanation:

Answer:

a. 41

b. -31

c. 25/3, no

Step-by-step explanation:

when it says find f(14) the number inside the parenthesis is x, so you just plug that number into the equation which in this case is 3x-1. for c it says find the input if the output is 24. so basically the output is f(x) or y and the input is x. so 3x-1 = 24.

Answer:

your answer is point D represent

Answer:

y = -x -1

Brainliest, please!

Step-by-step explanation:

(4, -5)(-6, 5)

y = mx + b

m = slope, b = y-intercept

m = 10/-10

m = -1

y = -1x + b

We can plug in (4, -5):

-5 = -1(4) + b

-5 = -4 + b

b = -1

y = -x - 1

Answer:

Property

Step-by-step explanation:

Answer:

x = 2/3x + 5 1/2 = -10 = x = -93/4

Step-by-step explanation:

Answer:

$163.8 more.

Step-by-step explanation:

Let's use the formula Principle × Rate × Time, or PRT to find our simple interest. Let's fill in the blanks. Our principle is $630. Our rate is 6.5% and our time is 4 years. Next, we multiply all this. $630 × 13/200 × 4. Our answer would be 163.8. I hoped this helped.

Answer:

9

Step-by-step explanation:

6x - 3 + 3x = 60 + 2x

Combine like terms:

6x - 3 + 3x = 60 + 2x

9x - 3 = 60 + 2x

-2x                -2x

-----------------------

    7x - 3 = 60

         +3    +3

    ------------------

         7x = 63

        -----   -----

          7       7

            x = 9

Hope this helped.

Answer:

9

Step-by-step explanation:

to solve this equation you first have to group the like terms

6x-3+3x=60+2x

6x+3x-2x=60+3

7x=63

then you divide both sides by 7 inorder to remain with the variable x on one side

7x/7=63/7

x=9

I hope this helps

Answer:

please mark me brainliest

Step-by-step explanation:

Answer: 3/8 as a decimal is 0.375.

Answer:

0.375.

Step-by-step explanation:

Do the division:-

8)3.000(0.375

   2 4

       60

        56

           40

            40

             --

Answer:

4, 7, 8 and 9.

(4)(7)(8)(9)

= 4 × 7 × 8 × 9

= 2016

Verify it on a calculator for your satisfaction ☺

Hope that helps...

Answer:

1_ 129 , 51

2_ b

3_ 40

Step-by-step explanation:

1_ we can represent the bigger angle with x and smaller one with y

and as given, y is smaller than x by 78

so y = x - 78 (1)

as x + y = 180

we put y as we did in (1)

x + x - 78 = 180

so 2x = 258

so x = 129

and y will be 51

2_ from the figure we find the two angles form one angle = 90 degree

3_ from the defenition of complementary angles

m(c) + m(d) = 90

7r + 5 + 8r + 10 = 90

15r + 15 = 90

r = 5

so m(c) will be equal 7*5 + 5 = 40

Answer:

To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.

Answer: 3 is equal to 3

Explaination: We all have learned that reflexive property of equality means that anything is equal to itself. So, this property tells us that anything is equal to itself.

Answer:

1/5

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

Answer:

[tex] \frac{1}{5} [/tex]

Step-by-step explanation:

0.2=

[tex] \frac{2}{10 } = \frac{1}{5} [/tex]

Answer:

The answer is C, 135 + 100h = 535.

Step-by-step explanation:

H can't be multiplied by 135, since that's only for one hour.  That value never changes, so it can't be A.  It's not B because that implies that she starts out by charging $235 for the first hour, plus the # of additional hours, which doesn't make sense.  And it's not D because the total amount of $ that she receives must EQUAL 535, but there is another number on the same side with 535.  Therefore, the only answer that remains is C.  

P.S. She worked 4 additional hours.

Answer:

5%

Step-by-step explanation

50/32= 1.56yard per second        ; 50/31= 1.61 yard per second

1.61-1.56= 0.05* 100= 5%

Answer:

the pictures is not clear

Answer:

c) 3.78

Step-by-step explanation:

Answer:

it is possible to draw a triangle with angles 90 degree, 60degree and again 60 degree

Answer:

8

Step-by-step explanation:

Bisectors are lines that divide an angle into two equal parts. The value of x of OQ is equal to PO is 8

Bisectors are lines that divide an angle into two equal parts. If RS is the segment bisector and given the following parameters:

OQ = 32

PO = 4x,

This shows that OQ = PO that is:

32 = 4x

Swap

4x = 32
x = 8

Hence the value of x of OQ is equal to PO is 8

Learn more on bisectors here: https://brainly.com/question/11006922

Answer:

Step-by-step explanation:

Sum of all the angles of 12 sided polygon= (n -2)*180

   = (12 - 2 )*180 = 10 * 180 = 1800

Four interior angle each of xº +  8 interior angles each of 2xº = 1800

4*x  + 8*2x = 1800

4x + 16x = 1800

20x = 1800

x = 1800/20

x = 90°

Answer:

x = 90

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 12 , then

sum = 180° × 10 = 1800

There are 12 interior angles

Given 4 are x, then 8 are 2x , so

4x + 8(2x) = 1800

4x + 16x = 1800

20x = 1800 ( divide both sides by 20 )

x = 90

Answer:

0.0300300030000...

Step-by-step explanation:

An irrational number has endless non-repeating digits to the right of the decimal point. They can be written as decimals, but not as fractions.

1632 can be written as 3264/2

0.25 can be written as 1/4

0 could be written as 0/0

but 0.0300300030000 cannot be written as a fraction, and it satisfies the condition of an irrational number having endless non-repeating digits to the right of the decimal point.

Answer:

(-4.5, 0)

Step-by-step explanation:

I don't even use midpoint formula for these types of problems, we can just count and see where they meet in the middle.

0 --- (-9)

(-1) --- (-8)

(-2) --- (-7)

(-3) --- (-6)

(-4) --- (-5)

(-4.5) --- (-4.5)

Answer:

12 inches wide 15 inches long

Step-by-step explanation:

Any length of sides that dont have the same side-side ratio with carlas rectangular picture frame (example: 10/12 [tex]\neq[/tex] 12/15)