a 10 foot ladder is leaning against a wall if the ladder reaches 8 feet up the wall how far is the base of the ladder from the wall.

Answer:

slope=y2-y1/x2-x1

=-5+5/7-2

=0/5

=0

Step-by-step explanation:

Answer:

The solutions are (2,0) and (3,0)

Step-by-step explanation:

The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.

2x (x - 4) - (x+3)(x - 2)      =    - 4x

=============                   ========

(x -2)(x - 4)                            x^2 - 6x - 8

Multiply both sides by x^2 -6x - 8

2x(x - 4) - (x^2 + x - 6 ) = - 4x       Remove the brackets

2x^2 - 8x - x^2 - x + 6  = - 4x       Combine like terms on the left

2x^2 - x^2 - 8x - x + 6 =  - 4x

x^2 - 9x + 6 = - 4x                        Add 4x from both sides

x^2 - 9x + 4x + 6 = 0

x^2 - 5x + 6 = 0

This factors into

(x - 2) and (x - 3)

x - 2 = 0

x = 2

x - 3  = 0

x = 3

Answer:

the answer is 20

Step-by-step explanation:

because if you add all of it you get 20

Answer:

20 times

Step-by-step explanation:

This is calculated as:

The number of coal China consumes ÷ The number of coal Japan consumes

The number of coal China consumes =4 × 10⁹

The number of coal Japan consumes

= 2 × 10⁸

4 × 10⁹/2 × 10⁸

= 20 times

Answer:

2 x 3.14 = 6.28

6.28 divided by 3 = 2.093 around 2.1

Answer:

15

Step-by-step explanation:

The length of BC=20cm I think

Answer:

(7x + 14)° = 84°

(15x - 4)° = 146°

Step-by-step explanation:

62° + (7x + 14)° = (15x - 4)°

62° +7x + 14 = 15x - 4

15x - 7x = 62 + 14 + 4

8x = 80

x = 10

Therefore, exterior angle (15x - 4)° = 146°

                interior angle (7x + 14)° = 84°

Answer:

[tex]\displaystyle m = \frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (2, 5)

Point (6, 7)

Step 2: Find slope m

Answer:

Razz

May 30, 2O21

100 - 16 = 84

.84*573 = 481.32

which is more than 458.40

[tex]\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}[/tex]

SAS is a congruency criteria which is used to prove that two triangles are congruent, if two corresponding sides and an angle between them is equal in both the triangles.

For example - In the attached picture,

Therefore, ΔKLM ≅ ΔXYZ

(By SAS criteria)

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Step-by-step explanation:

the volume of :

cone = ⅓π.r².r= ⅓π.r³

cylinder = π.r²r= π.r³

Sphere = 4/3 π.r³

for r = 9 in =>

the volume of:

14. cone = ⅓.π.9³= ⅓π × 729 = 243π in³

15. cylinder = π.9³ = 729π in³

16. Sphere = 4/3 π.9³ = 972π in³

17. the volume ratio among cone, cylinder and Sphere is : ⅓ : 1 : 4/3 =

1 : 3 : 4

Answer:

2

Step-by-step explanation:

Answer: x>9

Step-by-step explanation:

3 < x/2+1  

switch sides: x/2+1 > 3

Multiply sides by 3: 3x/2+1 > 3*3

Simplify: x>9

Answer:

1 square and 4 triangles

Step-by-step explanation:

Answer:

The answer is (A) or 1 square and 4 triangles .

Step-by-step explanation:

Looking at a picture of a square pyramid would help to answer this question. (Btw sorry if im late) Stay safe<3 .

Answer:

price of 5 bags of popcorn = 3.75 x 5 = 18.75

price of 8 drinks = 5 x 8 = 40

price of p bags of popcorn = 3.75 x p

price of d drinks = 5 x d

Answer:

24

Step-by-step explanation:

if he can make 4 birdhouses in 1 1/2 hours, 1 1/2 hours x 2 = 3. 8 birdhouses per 3 hours. 3 x 3 = 9 hours, 8 x 3 = 27

Answer:

24 birdhouses

Step-by-step explanation:

This is a proportional relationship.  y = kx, where k is the constant of proportionality.  We can determine k as follows:

4 birdhouses = k(1 1/2  hours), which leads to:

  4 birdhouses

------------------------- = 8/3 birdhouses/hr

    3/2 hours

In 9 hours, Ben can make (8/3)(9) birdhouses:  24 birdhouses

Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.

Define combinations?

In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.

To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.

Multiplying the number of choices at each step, we get:

2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.

Therefore, there are 3 possible dinner combinations for Leila.

To learn more about subset from the given link :

https://brainly.com/question/23454979

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Answer:

I think it's 4

Step-by-step explanation:

Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

Answer:

(y - 3 )² = 8 ( x - 4 )

The given vertex of Parabola is ( 4 , 3)

And Directrix is X = 6

The equation of parabola is

( y - k )² = - 4 ( P) ( x - h )

Now  p = 4 - x = 4 - 6 = - 2

And given value of ( k , h) = ( 4 , 3)

Or ( y - 3 )² = - 4 ( - 2) ( x - 4 )

Or,  ( y - 3 )² = 8 ( x - 4 )

Hence The equation of parabola with directrix x = 6 And

vertex ( 4 , 3 ) is  ( y - 3 )² = 8 ( x - 4 )     Answer

The answer  is (y - 3 )² = 8 ( x - 4 ).

The given vertex of Parabola is ( 4 , 3)

And Directrix is X = 6

The equation of a parabola is :

⇒ [tex]( y - k )^{2} = - 4 ( P) ( x - h )[/tex]

Now  p = 4 - x = 4 - 6 = - 2,

And given value of ( k , h) = ( 4 , 3)

Or [tex]( y - 3 )^{2} = - 4 ( - 2) ( x - 4 )[/tex]

Or, [tex]( y - 3 )^{2} = 8 ( x - 4 )[/tex]

Hence, The equation of a parabola with directrix x = 6 and

vertex ( 4 , 3 ) is  ( y - 3 )² = 8 ( x - 4 )

Learn more about the equation of a parabola here: brainly.com/question/4061870

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Answer:

d) f(n) = 4 . 3^(n-1)

______________

Answer:

He is 20 at oldest, or [tex]x\leq 20[/tex]

Step-by-step explanation:

The first step in finding a possible age is:

Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.

This means Joe is younger than or 20 years old.

Answer:

857.766cm^3

Step-by-step explanation:

Given data

Lenght = 3m

Internal radius r = 3m

External radius R= 10m

Volume of pipe= πr^2h

Volume of metal= External - Internal

Volume= πR^2h-πr^2h

Volume= πh(R^2-r^2)

Volume= 3.142*3(10^2-3^2)

Volume= 3.142*3(100-9)

Volume= 9.426*(91)

Volume= 857.766cm^3

Hence the volume of the metal is 857.766cm^3

Answer:

64 degree

Step-by-step explanation:

The tangent is perpendicular to the normal. In case of circle the normal is the radius which passes from the center of the circle.

Here Angle BAC = 90 degree (as the angle between the tangent and normal)

Angle BAC = 26 degree,

The sum of all the angles in a triangle is 180 degree,

So,

angle BAC + angle ABC + angle ACB = 180 degree

26 degree + angle ABC + 90 degree = 180 degree

angle ABC = 64 degree

Answer:

Add 4 to both sides of the equation

8n-4=52

8n-4+_4=52+_4

Answer:

6 cm

Step-by-step explanation:

Given :

base is 9cm, Height is 4cm, and Length is 12cm.

Volume of triangular prism :

V = 1/2 * base * height * length

V = 1/2 * 9 * 4 * 12

V = 9 * 2 * 12

V = 216 cm³

Volume of a cube = a³

Where , a = side length

If 216cm³ is melted to form a cube

Then ;

a = 216^1/3

a = 6 cm