what are major turning points in algebraic knowledge through out history

Answers

Answer 1

Answer:

There are a lot of turning point in the history of algebra one of those is the discovery of  the plain and the quadrants by Rene Descartes. This discovery paved way to a lot of knowledge which was later on use in solving other complicated mathematical problems.

Step-by-step explanation:


Related Questions

Please help me! STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x, find x and the measure of each side.

Answers

Answer:

x = 12

ST = 23 units

SU = 23 units

TU = 23 units

Step-by-step explanation:

For an equilateral triangle, all the angles are equal. Also, all the sides are equal.

Hence given that the sides ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x

ST = 2x - 1

SU = 5x - 37

TU = x + 11

Since ST = SU = TU

2x - 1 = 5x - 37

collect like terms

37 - 1 = 5x - 2x

36 = 3x

Divide both  3

36/3 = x

x = 12

Therefore

ST = 2x - 1 = 2(12) - 1 = 23 units

SU = 5x - 37 = 5(12) - 37 = 23 units

TU = x + 11 = 12 + 11 = 23 units

Find the area of the figure

Answers

Answer:

What figure?

Step-by-step explanation:

A mountain climber climbed down a cliff 20 metres at a time. He did this 3 times in one
day. What was the overall change in his elevation?

Answers

Answer: The climbers overall change in elevation was -60 meters

Hope this helps. Let me know if you need anything else.

11g − 5g + –17g − –7g = –12

Answers

Answer:

g=3

Step-by-step explanation:

11g-5g+-17g-(-7g)=-12

Add the like terms (nice that in this case they are all on the same side)

6g+-17g-(-7g)=-12

-11g-(-7g)=-12

-4g=-12     Now we divide (phew that was a lot of negatives XD)

g=3    

River C is 100 miles longer than River D. If the sum of their lengths is 5,500 miles, what is the length of each river?

Answers

Answer:

river C is 2850 and river B is 2650

What is 6 times 3/22?

Pls answer quick

Answers

Answer: the answer is 9/11

Answer:

9/11

Step-by-step explanation:

reduce numbers with greatest common factor of 2

3×3/11

9/11

help me for brainlist

Answers

Answer:

its c 14

Step-by-step explanation: because 16x30=480 subract that from the total then mutiply it again and thats your answer

Hopefully this can help

Answer:

h = 14 in

Step-by-step explanation:

Volume = length • width • height

6,720 = 30 • 16 • h                    combine like terms by multiplying 30 and 16

6,720 = 480h                            divide both sides by 480

h = 14 in

Which is the best unit of measurement to use when finding the mass of a small candy bar?
A. gram
B. kilogram
o
C. liter
D. meter

Answers

Answer:

b. kilogram

Step-by-step explanation:

Answer:

Gram

Step-by-step explanation:

because the candies are in very small in amount

so you can measure to use finding the mass of a small candy bar in gram

Pls help me! I will mark brainliest if you are correct

Answers

Answer:

I' would say A but C could be a possibility.

Step-by-step explanation:

Answer: it would be c!

Step-by-step explanation:

The rest of the answers r involving with the game, i they let them, they’ll choose themselves! Brainliest pls- if u want too. i explained, and hopes this helps

5) A 3-year-old dog is often considered to be 21 in human years. Assume that the age
of a dog varies directly with the age of a human. What is the human-year age of a dog
that is 14-years-old?

Answers

Answer:

98

Step-by-step explanation:

Answer:

Answer is 98

Step-by-step explanation:

You take 14 and times it by 7 to get 98

help pleaseee thank you

Answers

I don’t know what I’m trying to solve here but wouldn’t X be 0 since anything you multiply it equals zero?

Help please
Find the area of the shaded region

Answers

Answer:

The shaded area is equal to [tex]2500\pi - 1296\pi = 1204\pi.[/tex]

Step-by-step explanation:

The shaded area is equal to the area of the outer circle minus the area of the inner circle.

The area of the outer circle is equal to [tex]r^2\pi = 50^2\pi = 2500\pi[/tex] feet.

The area of the inner circle is equal to [tex]r^2\pi = 36^2\pi = 1296\pi[/tex] feet.

So the area of the shaded area is equal to [tex]2500\pi - 1296\pi = 1204\pi.[/tex]

The original price of a jacket is $70. The sale price is 30% off the original price. What is the amount off the original price (discount)? How much will you pay for the jacket with the discount?

Answers

Answer:

$49

Step-by-step explanation:

$70 - 30% = $49

Answer

its 47$

Step-by-step explanation:

You divide the number by the percentage which in this problem would look like 0.30 and then you move the decimal to the left once after you get your answer this is about

10. How long did it take for Krista's family to drive the 110 mi, to the cabin in the mountains if they were
able to average only 40 mph?

Answers

Answer:

2.75 hours

im pretty sure

Step-by-step explanation:

2.) Kyle swims a 1/2 mile every 1/4 hour. How far will he swim in one hour?

Answers

Answer:

I think it would be 2 miles

Step-by-step explanation:

This is because 1/4 of an hour is 15 minutes

so in 15 minutes he swims half a mile

4 x 15 = 60 minutes

so 4 x 1/2 = 2miles

Solve the system of equations - 8x - 5y = -13 and - 4x – 5y = 11 by
combining the equations.

Answers

Answer:

(6,-7)

Step-by-step explanation:

subtract them:

-8x - 5y = -13

-4x - 5y = 11

you get

-4x = -24

so x = 6

plug x into the second equation:

-24 - 5y = 11

-5y = 35

y = -7

so your solution is (6,-7).

Answer:

Your solution is (6, -7).

Step-by-step explanation:

Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.

-8x - 5y = -13

-4x - 5y = 11

Let's change the second equation into one with one variable on each side.

-5y = 4x + 11

y = -4/5x - 11/5

Now, plug this into your first equation.

-8x - 5(-4/5x - 11/5) = -13

Distribute the -5 sign.

-8x + 4x + 11 = -13

Combine the like terms.

-4x + 11 = -13

-4x = -24

Isolate x by dividing both sides by -4.

x = -24/-4

x = 6

Now plug this back into either equation.

y = -4/5(6) - 11/5

Multiply.

y = -24/5 - 11/5

Subtract.

y = -35/5

Simplify.

y = -7

Your solution is (6, -7).

Check this by plugging in these values into the equation you have not checked yet.

-8(6) - 5(-7) = -13

-48 + 35 = -13

-13 = -13

Your solution is correct.

Hope this helps!

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

X=5

Step-by-step explanation:

Trust me bro also it because if you input 5 into x you wille see that 3(5)+2=17

Answer:

X=5

Step-by-step explanation:

we must isolate x

subtract 2 from 3x+2=17

3x=15

divide 15 and 3x by 3

x=5

In which number is the digit 6 one hundred times larger than it is in the number 647?

A. 5,638
B. 6,523,532
D. 38,641
C. 65,398

Answers

Answer:

65,398

Step-by-step explanation:

In the numbers 5,638 and 38,641, the digit 6 is the SAME value as in 647. In the number 6,523,532, the digit 6 is 10,000 times larger than in 647. In the number 65,398 the digit 6 is 100 times larger than in 647.

Use the slope-intercept form to graph the equation HELP PLEASE

Answers

Step-by-step explanation:

The picture in the attachment is the answer

Simplify the expression
-3(5 + 7x)

Answers

Answer:

-15+(-21)x

Step-by-step explanation:

1. use the distributive property and multiply -3 by the numbers in the parenthesis.

If James measures 5‘4“ tall how tall is James in inches

Answers

Answer:

64 inches

Step-by-step explanation:

5 * 12 = 60

60 + 4 = 64

in the picture, thanks :)

Answers

Answer is G
2y-x=10
Division by 2 to get rid of it
Y-x=5
Add x to both side to make y to stay alone
Y=x+5


Which of Polygons B, C, D, E, and F are similar to Polygon A?

Answers

Answer:there is no picture

Step-by-step explanation:

Answer:

theres no picture brainliest

Step-by-step explanation:

jayfeather friend me

Question 3 what is the answer

Answers

The answer is A because since the balance is 325 and you are trying to find what it was before you deposited
The answer would have to be A

how do I write a polynomial when given the zeros​

Answers

Given the zeros of a polynomial, you can very easily write it -- first in its factored form and then in the standard form. Subtract the first zero from x and enclose it in parentheses. This is the first factor. For example if a polynomial has a zero that is -1, the corresponding factor is x - (-1) = x + 1.

Answer:

Subtract the first zero from x and enclose it in parentheses. This is the first factor. For example if a polynomial has a zero that is -1, the corresponding factor is x - (-1) = x + 1.

Raise the factor to the power of the multiplicity. For instance, if the zero -1 in the example has a multiplicity of two, write the factor as (x +1)^2.

Repeat Steps 1 and 2 with the other zeros and add them as further factors. For instance, if the example polynomial has two more zeros, -2 and 3, both with multiplicity 1, two more factors -- (x +2) and (x -3) -- must be added to the polynomial. The final form of the polynomial is then ((x +1)^2)(x +2)(x -3).

Multiply out all the factors using the FOIL (First Outer Inner Last) method to get the polynomial in the standard form. In the example, first multiply (x + 2)(x - 3) to get x^2 + 2x - 3x - 6 = x^2 - x - 6. Then multiply this with another factor (x + 1) to get (x^2 - x - 6)(x + 1) = x^3 +x^2 - x^2 - x - 6x - 6 = x^3 - 7x - 6. Finally, multiply this with the last factor (x + 1) to get (x^3 - 7x - 6)(x + 1) =x^4+x^3-7x^2-7x-6x-6 = x^4 + x^3 - 7x^2 - 13x - 6. This is the standard form of the polynomial.

Which expression is equivalent to 2 – 35?
Choose 1 answer:
A
2- (-35)
B
2+(-35)
-35 - 2
D
35 - 2
V

Answers

The answer is B: 2+(-35)

Answer:

The Correct answer is B

Step-by-step explanation:

35 - 2 is 33

so you just add a negative sign and you have your answer

evaluate 2r +1 if r=3

Answers

Answer:

7

Step-by-step explanation:

So, substitute in your 4 for r, 2(3) + 1. Multiply 2 and 3 to get 6 and then add a to get 7. I hope this helps :)

Ines has saved $5. She doubles the amount she saves each week. Does the function have a constant difference or a constant ratio? Does this represent an exponential function?

Answers

Answer:

The function have a constant ratio

No, it does not represent an exponential function.

Step-by-step explanation:

As given,

Ines has saved $5. She doubles the amount she saves each week.

⇒ In first week she saved = $5

   In second week she saved = 2×$5 = $10

   In third week she saved = 2×$10 = 20

  In fourth week she saved = 2×$20 = 40

and so on..

∴ we get the series

5, 10, 20, 40 ,.......

If the series is given as a, b, c, d, ..... , then

The common difference is defined as d = b-a = c-b

The common ration is defined as r = [tex]\frac{b}{a} = \frac{c}{b}[/tex]

Here, in the given question

The series is - 5, 10, 20, 40

This has no common difference , d =   10 - 5 (= 5 )≠ 20 - 10 (= 10)

As 5 ≠ 10

So the function does not define common difference .

Now,

This has common ratio , r =  [tex]\frac{10}{5} (=2) = \frac{20}{10}(=2)[/tex]

As 2 = 2

So, the function represent common ratio

Now,

The function does not represent an exponential function because it is increased by common ratio.

Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)

Answers

Answer:

[tex]\%Percent = 30 \%[/tex]

Step-by-step explanation:

Given

[tex]Shaded = 6\ cubes[/tex]

[tex]Box = 5\ x\ 4[/tex]

Required

Determine the percentage of the shaded cubes

First, we calculate the number of boxes:

[tex]Box = 5\ x\ 4[/tex]

Express as multiplication

[tex]Box = 5\ *\ 4[/tex]

[tex]Box = 20[/tex]

This implies that there are 20 cubes in the box.

The percentage of the shaded cubes is:

[tex]\%Percent = \frac{Shaded}{Box} * 100\%[/tex]

[tex]\%Percent = \frac{6}{20} * 100\%[/tex]

[tex]\%Percent = \frac{6* 100}{20} \%[/tex]

[tex]\%Percent = \frac{600}{20} \%[/tex]

[tex]\%Percent = 30 \%[/tex]

30% were shaded

A tree casts a 24 foot shadow while the sun is at an angle of elevation of 58°. Use this information to approximate the height of the tree to the nearest tenth of a foot.

Answers

draw a picture.
tan(58°) = height/24
Height = 24tan(58°) ≈ 38.4 feet
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