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1 year ago

Whats the distance between points p1=(-3,5) P2=(4,2)

Mathematics

1 answer:

leva [86]1 year ago

3 0

Step-by-step explanation:

First, find the vector.

= (4,2) - (-3,5)

= (4-(-3),2-5)

= (7,-3)

And then, find the distance.

= √(7² + (-3)²)

= √(49 + 9)

= √58 ✓

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If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)

juin [17]

Answer:

$y = -\frac{5}{3}x+\frac{2}{3}$

Step-by-step explanation:

Given

$f(-2) = 4$

$f(1) = -1$

Required

The equation of the function

The given parameters means that:

$(x_1,y_1) = (-2,4)$

$(x_2,y_2) = (1,-1)$

Calculate the slope (m)

$m = \frac{y_2 -y_1}{x_2 -x_1}$

$m = \frac{-1-4}{1--2}$

$m = \frac{-5}{3}$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives:

$y =\frac{-5}{3}(x--2)+4$

$y =\frac{-5}{3}(x+2)+4$

Open bracket

$y = -\frac{5}{3}x-\frac{10}{3}+4$

Take LCM

$y = -\frac{5}{3}x+\frac{-10+12}{3}$

$y = -\frac{5}{3}x+\frac{2}{3}$

6 0

3 years ago

What is one times one times four times twelve divided by three divided by two times nine minus twelve divided by twelve times on

xenn [34]

The answer is 617,283,945.

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3 years ago

it takes joey 1/16 of an hour to write one thank you card.How many thank you cards can he make in 3/4 of an hour?

devlian [24]

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3 years ago

Find and simplify the difference quotient of the form<img src="https://tex.z-dn.net/?f=%5Cfra%5Cfrac%7Bf%28x%29-f%28a%29%7D%7Bx-

Ilia_Sergeevich [38]

Answer: 3x + 13

Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

At Dubai metro station, in a week 320 trains arrived. Out of these 5% arrived early and 15% arrived late. How many arrived on ti

dybincka [34]

The number of trains that arrived Dubai metro station on time is; 272 trains.

We are told that 320 trains arrived the Dubai metro station in a week.

Now, we are told that 5% got there early and 15% got there late.

This means, the percentage that got there on time is;

100% - % of trains that got there late.

Therefore, percentage of trains that got there on time is;

100% - 15% = 85%

Since 85% of the trains got there on time, then number of trains that got there on time is;

85% × 320 = 272

Therefore, we can conclude that 272 trains arrived on time.

Read more at; brainly.in/question/33336249

4 0

2 years ago