Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?

Answer:

0.058

Step-by-step explanation:

Answer:

10% = 900

5% = 450

15% = 1,350

Please brainliest

Answer:

60 ft

Step-by-step explanation:

Position of Syd =  +43

Position of Ingrid = - 17

To find the distance between them, add the absolute value

I +43 I + I-17I = 43 + 17 = 60

Answer:

let's take the postion of sea level 0

such that

syds on a cliff 43 ft above sea level

his position = 43 ft

Ingrid is 17 feet below sea level so his position = 17 ft in the opposite direction as that of Syd.

since syd is 43 feet away from sea level, that is 0, and sea level is 17 feet away from Ingrid.

distance between syd and Ingrid = 43 + 17

= 60 ft

Answer:

Slope = 4/9

Step-by-step explanation:

x1(-4,2)

x2(5,6)

Slope,

m = (y2-y1)/(x2-x1)

= (6-2)/(5--4)

=4/9

Answer:

-2

Step-by-step explanation:

see Image below:)

9514 1404 393

Answer:

  (a)  (5π -11.6) ft²

Step-by-step explanation:

The shaded area is the area of 1/5 of the circle less the area of the triangle with base 5.8 ft and height 4 ft.

  shaded area = 1/5(π(5 ft)²) -(1/2)(5.8 ft)(4 ft)

  shaded area = (5π -11.6) ft²

Answer:

1/2             9/8

17/12          23/30

81/70         2/3

Step-by-step explanation:

I ordered it the way it appears in the image.

Answer:

Number of 12-packs = 14

Step-by-step explanation:

 Cost       Number of 12-packs

 3.50               1

49.00              x

        [tex]\frac{1}{x} = \frac{3.50}{49}\\\\1 \times 49 = 3.50 \times x\\\\\frac{49}{3.50} = x\\\\x = 14[/tex]

Number of 12-packs for $49 = 14

Problem 3

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

Explanation:

Two points from the graph are (10,2) and (20,4)

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (4-2)/(20-10)

m = 2/10

m = 1/5

The slope of the graph is 1/5.

Do the same for two points from the table. I'll use the first two rows

m = (y2-y1)/(x2-x1)

m = (4-2)/(10-5)

m = 2/5

The slope of the table is 2/5.

Subtract the two slopes to wrap things up:

2/5 - 1/5 = (2-1)/5 = 1/5

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

Problem 5

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

Explanation:

Angles 1 and 3 are same side exterior angles, so they are supplementary due to the parallel lines set up here.

(angle1)+(angle3) = 180

(157) + (angle3) = 180

angle3 = 180-157

angle3 = 23 degrees

Answer:

19

Step-by-step explanation:

Cause it’s angle on a straight line which is equals to 180

Answer:

sdfgafddasfadfs

Step-by-step explanation:

dfsadsafdsfadfsadsfasdfa

Answer:

C

Step-by-step explanation:

Answer:

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Step-by-step explanation:

Let

x = number of pop song downloaded by Mike

y = number of rock song downloaded by Mike

z = number of hip song downloaded by Mike

Mark downloaded 10 songs in total consisting of pop, rock, and hip hop

Mark:

x + y + z = 10

Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.

Jessica:

5x + 2y + 3z = 28

Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.

Nate:

3x + 3y + z = 20

The following system of equations represents their music choices

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Answer:

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Step-by-step explanation:

Let

x = number of pop song downloaded by Mike

y = number of rock song downloaded by Mike

z = number of hip song downloaded by Mike

Mark downloaded 10 songs in total consisting of pop, rock, and hip hop

Mark:

x + y + z = 10

Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.

Jessica:

5x + 2y + 3z = 28

Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.

Nate:

3x + 3y + z = 20

The following system of equations represents their music choices

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.6/x=3/8

do cross multiplication

x*3=6*8

x=48/3

x=16

2.b/8=3/4

do cross multiplication

b*4=8*3

b=24/4

b=6

4.n/8=35/7

do cross multiplication

35*8=7*n

280=7n

280/7=n

40=n

Answer:

0.36

Step-by-step explanation:

the 1 is in the 10 million place

Answer:

x = 2.4 or x = 0.3

Step-by-step explanation:

3x² - 8x + 2 = 0

Quadratic formula

x = {-b ±√b² - 4ac} / 2a

a = 3

b = -8

c = 2

x = {-b ±√b² - 4ac} / 2a

= {-(-8) ±√(-8)² - 4*3*2} / 2*3

= (8 ± √64 - 24) / 6

= (8 ± √40) / 6

= (8 ± 2√10) / 6

= 8/6 ± 2√10/6

= 4/3 ± √10 / 6

x = 4/3 + √10 / 6 or 4/3 - √10 / 6

x = 2.4 or x = 0.3

Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".

Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.

Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3

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

To summarize so far, we have these three facts

in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.

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

Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.

It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).

Answer:

A = 20

Step-by-step explanation:

Answer:

81.25

Step-by-step explanation:

Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.

Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.

Finally, add those two distances together so that you know the total distance:

49.75+31.5 = 81.25

Answer:

in the picture

HOPE ITS HELP

Answer:

that is behavior that coefficient

Answer:

Step-by-step explanation:

Answer: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

m=2/3

Step-by-step explanation:

Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...

Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)

Subtract the values in parentheses to get 4/6

Simplify the fraction to get the slope of  2/3

Answer:

Ice, ig.

It is made up of the remaining part of the solar system, after all.

Hope it helps you

Please mark as brainliest

Answer:

(x=4)^2=23; the third one

Step-by-step explanation:

When you solve it using the quadratic formula it's the same as the original answer.

Answer:

#3

Hope this helped! Please give brainliest to let me know <3

Step-by-step explanation:

Presale tickets (p) are each worth $7: represented in the equation as 7p.

Door tickets (d) are each worth $10: represented in the equation as 10d.

They sold 345 tickets, so p+d=345. They collected $2550, so 7p+10d=2550.

Final answer:

(3) [tex]\left \{ {{7p+10d=2550} \atop {p+d=345}} \right.[/tex]

Answer:

Distance = speed * time

Convert feet to meter (C units) = about 6

Convert hours to second (C units) = about 2399

Distance = 6 * 2399

= 1439 meters

4721 foot