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TiliK225 [7]
3 years ago
13

What's the distance of (-2, 0), (3, -5) plz help thank you

Mathematics
2 answers:
Brrunno [24]3 years ago
8 0

Answer:

The Distance Formula itself is actually derived from the Pythagorean Theorem which is {a^2} + {b^2} = {c^2}a  

2

+b  

2

=c  

2

 where cc is the longest side of a right triangle (also known as the hypotenuse) and aa and bb are the other shorter sides (known as the legs of a right triangle).

The very essence of the Distance Formula is to calculate the length of the hypotenuse of the right triangle which is represented by the letter cc.

a green right triangle with hypotenuse c (distance between two red dots) and legs a and b.

That’s why we can claim that the idea of the Distance Formula is borrowed and derived from the Pythagorean Theorem. If you want to see how the Distance Formula is derived from the Pythagorean Theorem, please check out my lesson on How to Derive the Distance Formula.

Ber [7]3 years ago
4 0

Answer:

4

Step-by-step explanation:

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Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros −3 and 5
love history [14]

Answer:

<em>f(x) = x² (2+i)x-15-3i</em>

Step-by-step explanation:

Since the zeros of the equation are -3 and 5+i, hence the factors of the polynomial in x is (x+3) and (x-(5+i))

Multiplying both factors

f(x) =  (x+3)(x-(5+i))

f(x) = (x²-(5+i)x+3x -3(5+i))

f(x) = x² - (5+i- 3)x -15-3i

f(x) = x² (2+i)x-15-3i

<em>hence the required polynomial function in x is f(x) = x² (2+i)x-15-3i</em>

7 0
3 years ago
Thank you<br>if this helps​
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4 0
3 years ago
For tournament 50 people are put int teams 35 people are picked to play rugby and 15 are picked to play football what percentage
kvasek [131]

Answer: 30%

Step-by-step explanation:

Total number of people involved in the tournament= 50

Number of people chosen to play rugby= 35

Number of people chosen to play football= 15

To get the percentage of people that are chosen to play football, we divide the number of people chosen to play football by the total number of people chosen for the tournament and then multiply the answer by 100. This will be:

= 15/50 × 100

= 0.3 × 100

= 30%

The percentage of people chosen to play football is 30%.

3 0
2 years ago
Margo paid $550.00 for dance classes. She paid a $50.00 registration fee and $25.00 for each week she was enrolled in the classe
trapecia [35]

Answer:

She enrolled in the dance classes for 20 weeks

Step-by-step explanation:

* Margo paid $550.00 for dance classes

* She paid a $50.00 registration fee

* She paid $25.00 for each week she was enrolled in the classes

* We need to find the number of weeks w she enrolled in the

  dance classes

<u><em>Lets write an equation of these information and solve it</em></u>

∵ The registration fee = $50

∵ The cost of of each week = $25

∵ The number of weeks = w

She will pay $50 plus $25 times the number of the weeks

∴ She paid in the dance classes = 50 + 25 w

∵ She paid $550 for the dance classes

∴ 50 + 25 w = 550

The equation is 50 + 25 w = 550

<u><em>Lets solve the equation</em></u>

∵ 50 + 25 w = 550

Subtract 50 from both sides

∴ 25 w = 500

Divide both sides by 25

∴ w = 20

∵ w represents the number of the weeks

∵ w = 20 weeks

<em>She enrolled in the dance classes for 20 weeks</em>

5 0
3 years ago
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