Ask question

Ask question

All categories

2 years ago

6

What is the distance between the points (4, -2) and (-1, 10)?

1 answer:

Tju [1.3M]2 years ago

5 0

Answer:

13 units.

Step-by-step explanation:

We can find distance between points by using the following formula:

$\sqrt{(change in x)^2+(changeiny)^2}$

The change in x is -5, and change in y is 12. Let's apply this to the formula.

$\sqrt{(-5)^2+(12)^2}$ . Evaluate this, and we get 13.

Hope this helped!

You might be interested in

The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms. How lo

liberstina [14]

Answer:

16.34 hours

Step-by-step explanation:

According to the given information we can see that the case is of exponential growth

Hence, we will use the formula

$A=P(2)^\frac{t}{24}$

Here A =800 is the amount that is needed to reach

P is the initial amount that is 500

We have to find the time it will take to reach 800 that is we need to find t

On substituting the values in the formula we get

$800=500(2)^\frac{t}{24}$

On simplification we get

$\Rightarrow\frac{8}{5}=(2)^\frac{t}{24}$

Taking log on both sides we get

$\Rightarrow\log\frac{8}{5}=\log(2)^\frac{t}{24}$

using $\log\frac{m}{n}=\log m-\log n$

And $\log a^m=m\log a$

$\Rightarrow\log{8}-\log{5}=\frac{t}{24}\log2$

Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get

$\Rightarrow 0.903-0.698=\frac{t}{24}0.301$

$\Rightarrow 0.205=\frac{t}{24}0.301$

$\Rightarrow \frac{0.205}{0.301}\cdot 24=t$

$\Rightarrow t=16.34$

8 0

3 years ago

Read 2 more answers

4(4x+1) = 3x-4(6-x) + 4

brilliants [131]

the answer is -2.2.

hope it helped

8 0

3 years ago

Read 2 more answers

Plz answer don't send link

avanturin [10]

Here you go the answer is in the picture

8 0

3 years ago

Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of eleva

torisob [31]

Answer:

$h = 15.163\ meters$

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

$tan(30) = (h - 1.5) / x$

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

$tan(45) = (h - 1.5) / (x - 10)$

So rewriting both equations using the tangents values, we have that:

$0.5774 = (h - 1.5) / x$

$1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)$

From the first equation, we have that:

$x = (h - 1.5) / 0.5774$

Using this value of x in the second equation, we have that:

$h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10$

$h + 8.5 = \frac{ (h - 1.5) }{0.5774}$

$0.5774h + 4.9079 = h - 1.5$

$0.4226h = 6.4079$

$h = 15.163\ meters$

5 0

3 years ago

If a figure has been dilated by a scale factor of which transformation could be used to prove the figures are similar using the

kondaur [170]

I need help with the same one

6 0

2 years ago