Ernst Kummer tried in vain to prove Fermat's Last Theorem, and his method (similar to Fermat's own) broke down because not all rings have the "nice" property of unique factorization. Studying these unique factorization domains did not lead to a proof of Fermat's Last Theorem, but it did lead to the study of these:
Prime numbers
Algebraic numbers
Ideals
Ring generators

Answer:

y = x + 1

Step-by-step explanation:

(2,3)  (-2, -1)

line equation y - y1 = m (x - x1)

m = (-1 -3) / (-2 - 2)

= -4 / -4 = 1

y - 3 = 1 * (x - 2)

y = x -2 +3

y = x + 1

Answer:

y = 1x+1

Step-by-step explanation:

Slope-intercept form is: y=mx+b

In order to find the slope, or "m" in this formula with two given points, use the slope formula for two coordinates: m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].  In this formula, y2 is the second coordinate's y value, y1 is the first coordinate's y-value, and likewise x2 is the second coordinate's x value, x1 is the first coordinate's x-value.

In this problem specifically, we were given coordinates (2,3) and (-2,-1).

This is how those above values would line up:

y2 = -1

x2 = -2

y1 = 3

x1 = 2

Once this is plugged into the formula it becomes [tex]\frac{-1-3}{-2-2}[/tex] , which simplifies to a slope (m) of 1.  

____________________________________________________________

Next to find the y-intercept, or "b" we simply need to plug in a coordinate's values into the slope-intercept form, and I chose (2,3) for simplicity's sake.

This would become (3) = 1(2) + b. Then just solve for b using algebra, which results in a b value of 1.  

The answer is y= 1x +1 which can alternatively be written as y=x+1

Answer:

ok then why did you put points

Your question is Incomplete

Is Your question this?

You have 6 pints of glaze. It takes 7/8 of a pint to glaze a bowl and 9/16 of a pint to glaze a plate.

A. How many bowls could you glaze

B. How many plates can you glaze

C. How much glaze will be left over?

If it is the Answer is below.

(If it not please tell me)

Answer/Step-by-step explanation:

Given:

6 Pints of glaze

takes 7/8 of pint to glaze a bowl

9/16 of a pint to glaze a plate

Part A) How many bowls could you glaze?

You have 6 pints of glaze. It takes 7/8  of a pint to glaze a bowl

so

To find the number of bowls divide 6 by 7/8

= 48/7 = 6.86 bowls

Therefore the answer to part A is equal to 6 bowls.

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

Part B) How many plates can you glaze?

You have 6 pints of glaze. It takes 9/16  of a pint to glaze a plate

so

To find the number of plates divide 6 by 9/16

=96/2 = 10.67 plates

Therefore the answer to part B is equal to 10 plates.

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

Part C) How much glaze will be left over?

[tex]Part A =6-6*\frac{7}{8} =6-\frac{42}{8} =\frac{48}{8} = \frac{42}{8}=\frac{3}{4}[/tex] pint of glazes left

[tex]Part B=6-10*\frac{9}{16} =6-\frac{45}{8} =\frac{48}{8} -\frac{45}{8} =\frac{3}{8}[/tex] pint of glazes left

Answer:

d, it doesn't go through the origin

Answer:

the first oneee

Step-by-step explanation:

the answer is the first option

Answer:

The larger size container and the Cold farms is the better deal for Sheldon.

Step-by-step explanation:

Given:

1 gallon = 8 pints

[tex]2.50 \times 8 =20[/tex]

Multiply  the gallons to 20

8 × 20 = 160

Then, the large size is 18.

4.50 ×4 =18 (1 Gallon= 4 quartz)

Therefore, the larger size container and the Cold farms is the better deal for Sheldon.

Answer:

Sweet Dreams Large Size (aka 9.50 for one gallon)

Step-by-step explanation:

8 gallons = 32 quarts = 64 pints

Cold farms pint

2.50 x 64 = $160

Cold farms quart

4.50 x 32 = $144

Sweet dreams quart

4.25 x 32 = $136

Sweet dreams gallons

9.50 x 8 = $76

$76 dollars is the least out of them all, so that is the answer.

Hope this helps!

Answer:

D. 75.00x+160.00=760.00

Answer:

Letter D.

Step-by-step explanation:

Since I believe we are trying to decipher the number of days the car must be rented if they want to spend exactly 760.00$, you must multiply the number of days by the rental price and add the fee. So, let’s test it out!

160.00 = 760.00

-160.00 -160.00 = 600.00

and then,

75.00x = 600.00

———. ———-

75.00 75.00 = 8

:)

Answer:

the answer is 60

Step-by-step explanation:

hope this helps!

Answer:

60

Step-by-step explanation:

Here is the layout:

12 - 2 × 3 + 3

10 x 6

60

Answer:

It does not represent a proportional relationship; it represents a non-proportional relationships.

Step-by-step explanation:

1. All proportional relationships follow the following equation: y = kx.

2. Because the equation y = 2x + 4 does not follow y = kx (because it has + 4), it is not proportional.

Therefore, the equation does not represent a proportional relationship.

Answer:

38.4 or 38 2/5 minutes

Step-by-step explanation:

2/5×60 = 24

24÷5 = 4.8

4.8×8 = 38.4 minutes

Answer:

[tex]3\cdot10^{203}[/tex]

That's literally it- it won't show me the actual number xD

Hope this helps :]

Answer:

1)  51°      2)     _?_     3) 55 ⁰          4) 30°

Step-by-step explanation:

3) First you find out what is G which = 90⁰, And then add the 90 and 75.

Then we will make this equation : (90+75) - 360 ( because Angle Sum property = Sum of all angles from the inside = 360⁰)

Then we do that which will be = 185-360

                                                   =  175

The we plus all the x's = x + 2x

                                        = 3x

then our equation is =    3x= 175

                                   x = 175/3  (Because of Transposition )

                                    x= 55°

And Then we do add and multiply

Like This: x=55

               2x= 2x55 = 110°

1) First add 67 and 62

Then our equation= (67+62)-180 ( Because of Interior angle sum property of triangles = sum of all interior angles = 180°)

Then = 129 - 180

         = 51 °

And then because of opposite angle are equal so our x= 51° because our angle in the triangle above x = 51° so it will be equal opposite (hope you understand)

4) First add 2x+4x

    Our Equation= (2x+4x)=90° (be cause right angle = 90°)

                          =     6x=90              

                            x =90/6

                              x = 15°

So, 2x= 2 x 15 = 30°

     4x = 4 x 15 = 60°

2) Sorry I don't know the second one but i tried solving it but one favor can you please make another question for the second one in brainly so i can answer there.

Answer: 8

Step-by-step explanation: You can use division to solve.

Answer:

8 days

Step-by-step explanation:

1 day : -$1.26

? days : -$10.08

-10.08 ÷ -1.26 = 8

So ? = 8

Answer:

for 25 minutes, Augie burned 187.5 pounds

Step-by-step explanation:

why i got this answer, well i divided 25 divided by 20 it gave me 1.25 so i just multiplied 150 x 1.25 which got me 187.5

Augie burned 187.5 pound in 25 minutes

CHALLENGE

how much calories would Angie burned in 40 minutes??

Answer:

8

Step-by-step explanation:

in the box put in 8 since (2)^3 is 8

Answer:

52000

Step-by-step explanation:

Answer:

H = 3

7 7/8 ÷ 5 1/4 × 2

Step-by-step explanation:

Formula: Area = Base * height / 2

A = BH/2

We're looking for the the height so

Height = Area divided by base times 2

H = 7 7/8 ÷ 5 1/4 × 2

H = 1.5 ×2

H = 3

To confirm it:

7 7/8 =  3 * 5 1/4 ÷ 2

7 7/8 = 7 7/8

Answer:

No, they are not equal rates.

Step-by-step explanation:

Package 1:

8 pairs : $12

8 ÷ 12 ≈ $0.67

Package 2:

3 pairs : $6

3 ÷ 6 = $0.6

Comparing...

$0.6 ≠ $0.67

Answer:

D. Henry's balloon was further from town at the beginning, but Tash's balloon traveled more quickly.

Step-by-step explanation:

With the lack of information provided, I was able to create a base and general observation and create an equation based off everything I know and believe. (may not be accurate due to lack of information and background on assignment and curriculum)

TASHA: y = 7x + 15

(current distance) = (7 miles per hour) + (starting distance)

(29) = (14) + (15)

HENDRY: y = 6x + 25

(current distance = (6 miles per hour ) + (starting distance)

(37) = (12) + (25)

Answer:

25% of the milkshakes had whipped cream.

Step-by-step explanation:

Belle's Diner sold 8 milkshakes with whipped cream and 24 milkshakes without whipped cream. Given this information, we can add these two numbers to identify the total number of milkshakes Belle's Diner made:

[tex]8+24=32[/tex]

Belle's Diner made 32 milkshakes in total.

To find the percentage of milkshakes that had whipped cream, simply divide the number of milkshakes that had whipped cream (8) by the total number of milkshakes (32):

[tex]\frac{8}{32} =.25[/tex]

.25 as a percentage is 25% (move the decimal point two decimal places to the right).

Answer:

25% of the milkshakes have whipped cream on top.

Step-by-step explanation:

24+8=32

8/32=.25

*Note: To get the decimal form of any fraction you divide the numerator by the denominator.

.25 = 25%

Answer:

well avtually 3c/1919 + 3838™{{} = 20 ahichsa

Answer:

28

Step-by-step explanation:

So our first 5 prime numbers are 2,3,5,7,11. Hence, the answer is 28