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2 years ago

What’s the distance between 4,-2 and 6,-1

Mathematics

2 answers:

Alex787 [66]2 years ago

7 0

Answer:

√5

Step-by-step explanation:

$( 4,-2 )=(x_1,y_1)\\( 6,-1)=(x_2,y_2)\\\\d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d =\sqrt{\left(6-4\right)^2+\left(-1-\left(-2\right)\right)^2}\\\\d=\sqrt{\left(6-4\right)^2+\left(-1+2\right)^2}\\\\d=\sqrt{2^2+1^2}\\\\d =\sqrt{4+1}\\\\d=\sqrt{5}$

Shalnov [3]2 years ago

5 0

Hello! I hope this helps

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4.8 x 10 to the 8th power divided by 1.2 x 10 to the 4th power times 2.2 x 10 to the negative 8th power

Masteriza [31]

(4.8*10^8)/(1.2*10^4)2.2*10^-8=11/<span>12500</span>
I hope this helps

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3 years ago

BRAINLIEST WILL I GIVE HURRY

stepladder [879]

Answer:

{10,8}

Step-by-step explanation:

-3x + 4y = -62

4x + 5y = 0

let's eliminate the x

-3x + 4y = -62 | x -4 |

4x + 5y = 0 | x 3 |

12x - 16y = 248

12x + 15y = 0

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

-31y = 248

y = 248/(-31) = 8

since you must do this proble with elimination, we cant use subtitution. so we repeat the way once more to find x (eliminate y)

-3x + 4y = -62 | x 5 |

4x + 5y = 0 | x 4 |

-15x + 20y = -310

16x + 20y = 0

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

-31x = -310

x = -310/-31 = 10

4 0

3 years ago

Select the expression that represents a rational function.

Sati [7]

Answer:

y = (x +2)/(x -3)

Step-by-step explanation:

A rational function is a function (y = ...) that has a definition that is the ratio of two polynomials.

Of the choices listed, the one attached is the rational function.

8 0

3 years ago

Determine the equation of the line with slope 3/4 passing through the point 4,0

Vitek1552 [10]

Answer:

$y = \frac{3}{4}x - 3$

Step-by-step explanation:

If it has a slope of 3/4, then it will look like this:

$y = \frac{3}{4}x + b$

If it passes through (4, 0), than y = 0 when x = 4

$y = \frac{3}{4}(4) + b$

$y = 3 + b$

$b = -3$

Therefore, the equation is $y = \frac{3}{4}x - 3$ .

8 0

2 years ago

Question 2 of 5

AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is $f(n)=f(n-1)+d, f(1)=a,n\geq 2$ and the explicit formula is $f(n)=a+(n-1)d$ , where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is $f(n)=rf(n-1), f(1)=a,n\geq 2$ and the explicit formula is $f(n)=ar^{n-1}$ , where a is the first term and r is the common ratio.

The first recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+5$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(5)$

$f(n)=5+5(n-1)$

Therefore, the correct option is A, i.e., $f(n)=5+5(n-1)$ .

The second recursive formula is:

$f(1)=5$

$f(n)=3f(n-1)$ for $n\geq 2$ .

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

$f(n)=5(3)^{n-1}$

Therefore, the correct option is F, i.e., $f(n)=5(3)^{n-1}$ .

The third recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+3$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(3)$

$f(n)=5+3(n-1)$

Therefore, the correct option is D, i.e., $f(n)=5+3(n-1)$ .

6 0

3 years ago

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