MATHEMATICS HIGH SCHOOL

What's pathagrium theory

Answers

Answer 1
Answer:

The correct term is "Pythagorean theorem," not "Patagium theory." The Pythagorean theorem is a fundamental concept in mathematics that relates to right triangles.

It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

For example, consider a right triangle with side lengths of 3 units and 4 units. We can use the Pythagorean theorem to find the length of the hypotenuse:

a² + b²= c²

3² + 4² = c²

9 + 16 = c²

25 = c²

Taking the square root of both sides gives us:

c = √25

c = 5

So, the length of the hypotenuse is 5 units.

The Pythagorean theorem has many practical applications, such as in architecture, engineering, and navigation. It is a fundamental concept in geometry and is often used as a building block for more advanced mathematical concepts.

To know more about the Pythagorean theorem follow

brainly.com/question/28361847

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Answer 2
Answer: the pythagorean theorem has to do with right angled triangles -> a^(2) + b^(2) = c^(2) , where c is the hypotenuse length (the longest side, not touching the right angle) and a & b are the other sides that do touch the right angle, the legs.

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Simplify. 5x^3/(7x^3+x^4)5/7+x; where x is not equal to 0, -7 5/7+x; where x is not equal to -7 5/7x; where x is not equal to 0 5/7
Select the correct solution set.-7x ≥ 56 {x | x ≤ -8} {x | x ≥ -8} {x | x ≥ 8}
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Miranda wants to give her 14-year-old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the interest rate is 10 percent per year?

Answers

20,000 = P ( 1 + 0.1 )^4
20,000 = P * 1.1^4
20,000 = P * 1.461
P = 20,000 : 1.461 ≈ $13,689.25
Answer: Miranda needs to put now in the bank $13,689.25 

2. Hessa was playing a computer game. She scored 43 points in Round 1 and 26 points in Round 2. Which sum could she use to add the points together? a. 40 + 20 + 3 + 6 b. 4 + 3 + 2 + 6 c. 40 + 30 + 20 + 60 d. 30 + 4 + 60 + 2

Answers

Answer:

a. 40 + 20 + 3 + 6

Step-by-step explanation:

Points scored by Hessa is as shown below;

Round 1 = 43 points

Round 2 = 26 points

Total points for both rounds = 43 + 26 = 69 points

To determine the sum she could use to add the points together, we must select the sum that will give us the same total of points for both rounds i.e 69 points.

The Round 1 score (43 pt)can also be expressed as (40+3) points

The Round 2 score (26 pt)can also be expressed as (20+6) points

The sum she could use to add the points together will be  (40+3)+(20+6)

which is also equal to  40 + 20 + 3 + 6  = 69points

Hence, option a is correct

Ivan has $8.75 in nickels and quarters in his desk drawer. The number of nickels is twice the number of quarters. How many coins of each type does he have?

Answers

When Ivan divides his coins into groups of 2 nickels and 1 quarter, worth $0.35, he find that he has $8.75/$0.35 = 25 such groups.

Ivan has 25 quarters and 50 nickels.

Answer:

  • The number of nickels coins are : 50
  • and the number of quarter coins are: 25

Step-by-step explanation:

Let n denote the number of nickels.

and q denote the number of quarters.

1 nickel=0.05 dollar

and 1 quarter=0.25 dollar

Hence, we have:

0.05n+0.25q=8.75

( Since, Ivan has $8.75 in nickels and quarters in his desk drawer )

On multiplying both side of the equation by 100 we have:

5n+25q=875

on dividing both side of the equation by 5 we have:

n+5q=175-----------------(1)

Also, n=2q---------------(2)

( Since, the number of nickels is twice the number of quarters )

Hence, on putting equation (2) in equation (1) we have:

2q+5q=175

i.e.

7q=175

i.e.  q=25

and on putting the value of q in equation (2) we have:

n=50

1) 5x-2y=4.         2) 3x-5y=13  x-2y=5
3x+y=9

Answers

\left\{\begin{array}{ccc}5x-2y=4\n3x+y=9&/\cdot2\end{array}\right\n+\left\{\begin{array}{ccc}5x-2y=4\n6x+2y=18\end{array}\right\n----------\n.\ \ \ \ \ 11x=22\ \ \ \ /:11\n.\ \ \ \ \ \ \ x=2\n\n3\cdot2+y=9\n6+y=9\ny=9-6\ny=3\n\nAnswer:x=2;\ y=3


\left\{\begin{array}{ccc}3x-5y=13\nx-2y=5\end{array}\right\n\left\{\begin{array}{ccc}3x-5y=13\nx=2y+5\end{array}\right\n\nsubstitute:\n\n3(2y+5)-5y=13\n6y+15-5y=13\ny=13-15\ny=-2\n\nx=2\cdot(-2)+5=-4+5=1\n\nAnswer:x=1;\ y=-2.

3.) What are the solutions to x^2 + 8x + 7 = 0?x = –8 and x = –7

x = –7 and x = –1

x = 1 and x = 7

x = 7 and x = 8

Answers

check if x = -8 is the solution
1. substitute number -8 for x in the equation
(-8)^2 + 8*(-8) + 7 = 0
2. do calculations on the left size
64 -64 + 7 = 0
7 = 0
3. equality means x is the solution, inequality means it is not
-8 is not the solution to x^2 + 8x + 7 = 0

check other given numbers the same way
x=-7
(-7)^2 + 8*(-7) + 7 = 0
0=0
-7 is the solution

x=-1
(-1)^2 + 8*(-1) + 7 = 0
0=0
-1 is the solution


x=1
(1)^2 + 8*(1) + 7 = 0
16=0
1 is not the solution

x=7
(7)^2 + 8*(7) + 7 = 0
113=0
7 is not the solution


x=8
(8)^2 + 8*(8) + 7 = 0
135=0
8 is not the solution

answer:
The solutions to given equation are -7 and -1.
The answer to this question is
-7+-1=-8
-1+-7=8
1+7=8

Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is Daniel now

Answers

K = 3D. K - 4 = 5(D - 4). K - 4 = 5D - 20. K = 5D - 16. 3D = 5D - 16. 16 = 2D. D = 8. K = 3 x 8. K = 24.
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